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Chaoqun Liu

[Chaoqun Liu]

Professor, Mathematics
Last Updated: January 6, 2021
about me

Research Interests

Research Interests
High Order Scheme, Direct Numerical Simulation, Large Eddy Simulation, Vortex, Turbulence, Flow Transition, Shock and Boundary Layer Interaction.

Research Keywords

Research Keywords
Numerical Methods, DNS, LES, Vortex, Turbulence

Teaching Interests

Teaching Interests
Numerical Analysis, Numerical ODE, Numerical PDE, Computational Fluid Dynamics

Biography

Biography

Dr. Chaoqun Liu received his BS in 1968 and MS in 1981 from Tsinghua University, Beijing, China and PhD in 1989 from University of Colorado at Denver, Colorado, USA. He is currently the Distinguished Professor and Director of Center for Numerical Simulation and Modeling at University of Texas at Arlington, Arlington, Texas, USA. He has worked on high order direct numerical simulation (DNS) and large eddy simulation (LES) for flow transition and turbulence since 1990. As PI, he has been awarded with 50 federal research grants of over 5.7 million US dollars since 1990 in the United States. He has published 12 books, 120 journal papers and 145 conference papers. He also chaired first and third US AFOSR International Conference on DNS/LES in 1997 and 2001. He is a well established expert in high order DNS/LES for flow transition, turbulence, and shock and boundary layer interaction.

Education

Education

    • 1989 PhD in Mathematics
      University of Colorado Boulder, 1989
    • 1981 MS in Comp Fluid Dynamics
      Tsinghua University, 1981
    • 1967 BS in Comp Fluid Dynamics
      Tsinghua University, 1967

Appointments

Appointments

    • Aug 2000 to Present Professor and CNSM Center Director
      Math, University of Texas at Arlington (Arlington, TX, United States)
    • Feb 1996 to Aug 2000 Associate Professor and then Full Professor (from 1998)
      Math, Louisiana Tech University (Ruston, LA, United States)
    • Jan 1990 to Feb 1998 Adjunct Associate Professor
      Math, University of Colorado at Denver (Denver, CO, United States)
    • Jan 1981 to May 1986 Assistant Professor
      Thermal Dynamics , Nanjing University of Aero & Astro (Nanjing, China)

Memberships

    • Jan 1990 to Present American Institute of Aeronautics and Astronautics
      Associate Fellow

Awards and Honors

    • Apr  2015 UTA Arlington Academy of Distinguished Scholars sponsored by UTA
    • Apr  2008 UTA Distinguished Record of Research or Creative Activity Award sponsored by UTA

Support & Funding

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Sept 2016 to Sept 2021 Next Generation Advances in Ionosphere Thermosphere Coupling at Multiple Scales for Environmental Specification and Prediction sponsored by  -  $7706907
      (Funded)
    • Feb 2013 to Dec 2013 High Order Algorithms for Estimating Pressure Fluctuation behind Shock sponsored by  -  $50000
      Chaoqun Liu (Funded)
    • Mar 2012 to Dec 2012 Higher Order CFD Alogorithms for Estimating Pressure Fluctuations behind Shock sponsored by  -  $50000
      Chaoqun Liu (Funded)
    • Sept 2011 to Dec 2011 Higher Order CFD Algorithms for Estimating Pressure Fluctuations Behind Shock sponsored by  -  $40000
      Chaoqun Liu (Funded)
    • Apr 2008 to Nov 2010 High-Order LES for Shock-Blunt Body Interaction - Numerical, Experimental, and Theoretical Study sponsored by  -  $609919
      (Funded)
    • Mar 2005 to Dec 2007 High Order Weighted Compact Scheme for High Speed Flow sponsored by  -  $180000
      (Funded)
    • Apr 2005 to Dec 2005 Numerical Simulation of Flow Separation Control with Dynamic Vortex Generator sponsored by  -  $34999
      Chaoqun Liu (Funded)
    • Apr 2003 to July 2006 LES for Near Field Wakes Behind Juncture of Wing and Plate sponsored by  -  $179997
      Chaoqun Liu (Funded)
    • May 2003 to June 2005 Laminar-Turbulent Transition in a Three-dimensional Supersonic Boundary Layer sponsored by  -  $74999
      Chaoqun Liu (Funded)
    • Aug 2004 to Dec 2005 DG solver for CFD & MHD sponsored by  -  $72828
      Chaoqun Liu (Funded)
    • June 2004 to Dec 2005 Laminar Turbulent Transition sponsored by  -  $95000
      Chaoqun Liu (Funded)
    • Sept 2004 to Aug 2005 2-D Navier-Stocks Solver Based on Weighted-Compact Schemes sponsored by  -  $31500
      (Funded)
    • June 2004 to Dec 2004 Numerucal Simulation of Flow control with Dynamic Vortex Generator. sponsored by  -  $30000
      Chaoqun Liu (Funded)
    • May 2002 to Mar 2004 Numerical Simulation of Laminar-Turbulent Transition in a Compressible Boundary Layer sponsored by  -  $74997
      Chaoqun Liu (Funded)
    • Nov 2002 to Oct 2003 2D Multigrid Solver for Electric Potential sponsored by  -  $22499
      Chaoqun Liu (Funded)
    • Dec 2000 to Sept 2003 Parallel Multigrid DNS/LES Methods for Time-Dependent Compressible?Flow sponsored by  -  $249998
      Chaoqun Liu (Funded)
    • Dec 2000 to Nov 2001 AFOSR Sponsorship of Third AFOSR Conference on DNS/LES sponsored by  -  $15000
      Chaoqun Liu (Funded)
    • Sept 2000 to June 2001 Efficiency Improvement for IFLOW RANS Code sponsored by  -  $60000
      Chaoqun Liu (Funded)
    • May 2001 to Apr 2002 Numerical Simulation of Laminar-Turbulent Transition in a Subsonic Boundary Layer sponsored by  -  $24999
      Chaoqun Liu (Funded)

Publications


      2018
      • Book
        Computational Fluid Dynamics – A Practical Tool
        []. "Elsevier, ISBN-13: 978-0081011270, ISBN-10: 9780081011270 (Third Edition)".

      2017
      • Book
        1. High Order Large Eddy Simulation for Shock-Bounday Layer Interaction Control by Micro-Ranp Vortex Generator, Frontier in Aerospace Science, Volume 2, ISBN 978-1-68108-598-2
        []. "Bentham, December 2017".

      2016
      • Book
        New Perspectives in Fluid Dynamics
        [Liu, Chaoqun].

      2012
      • Book
        6) Computational Fluid Dynamics
        A Practical Tool, Second Edition
        [Liu, Chaoqun, Tu, Yeoh]. "Elsevier ".
      • Book
        2) Advances in Modeling of Fluid Dynamics
        [Liu, Chaoqun]. "InTech Publisher ".

      2007
      • Book
        5) Computational Fluid Dynamics
        [Liu, Chaoqun, Tu, Yeoh]. Elsevier .

      2001
      • Book
        9) DNS/LES – Progress and Challenges
        [Liu, Chaoqun, Sakell, Len, Beutner, Tom]. "Greyden Press ".

      1997
      • Book
        8) Advances in DNS/LES
        [Liu, Chaoqun]. "Greyden Prress ".

      1995
      • Book
        Multigrid Method and Its Applications in Computational Fluid Dynamics
        [Liu, Chaoqun]. "Tsinghua University Press".

      2019
      • Journal Article
        1. Liutex(vortex) cores in transitional boundary layer withs panwise-wall oscillation
        []. "，Journal of Hydrodynamics,2019, 31(6): 1178-1189 https://doi.org/10.1007/s42241-019-0092-3".
      • Journal Article
        12. Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition
        []. "J Hydrodyn (2019). https://doi.org/10.1007/s42241-019-0032-2".
      • Journal Article
        13. Third generation of vortex identification methods: Omega and Liutex/Rortex based systems,
        []. "Journal of Hydrodynamics, 2019, 31(2): 1-19,".
      • Journal Article
        4. Explicit expressions for Rortex tensor and velocity gradient tensor decomposition,
        []. "Physics of Fluids, 31, 095102 (2019)".
      • Journal Article
        5. Liutex core definition and automatic identification for turbulence structures
        []. "Journal of Hydrodynamics, Volume 31, Issue 5, pp 857–863, 2019".
      • Journal Article
        6. A Liutex based definition and identification of vortex core center lines,
        []. "Journal of Hydrodynamics, 2019, 31(2): 774-781,".
      • Journal Article
        8. Letter: Mathematical Foundation of Turbulence Generation-Symmetric to Asymmetric Liutex/Rortex,
        []. "J Hydrodyn (2019) ".
      • Journal Article
        An explicit expression for the calculation of the Rortex vector
        []. "Physics of Fluids, 31, 095102 (2019); https://doi.org/10.1063/1.5116374".
      • Journal Article
        An objective version of the Rortex vector for vortex identification
        []. "Phys. Fluids 31, 065112 (2019); https://doi.org/10.1063/1.5095624 ".
      • Journal Article
        Galilean invariance of Omega vortex identification method
        []. "J Hydrodyn (2019). https://doi.org/10.1007/s42241-019-0024-2".
      • Journal Article
        Galilean invariance of Rortex
        []. "Physics of Fluids 30, 111701 (2018)".
      • Journal Article
        Letter: Rortex based velocity gradient tensor decomposition
        []. "Physics of Fluids, Phys. Fluids 31, 011704 (2019); https://doi.org/10.1063/1.5084739 (2019)".
      • Journal Article
        Liutex similarity in turbulent boundary layer
        []. "Journal of Hydrodynamics volume 31, pages1259–1262(2019)".
      • Journal Article
        Modified normalized Rortex/vortex identification method
        []. " Phys. Fluids 31, 061704 (2019); https://doi.org/10.1063/1.5109437 ".
      • Journal Article
        New normalized Rortex/vortex identification method
        []. " Physics of Fluids 31, 011701 (2019)".
      • Journal Article
        Objective Omega vortex identification method
        []. " J Hydrodyn (2019). https://doi.org/10.1007/s42241-019-0028-y".

      2018
      • Journal Article
        18. A selected review of vortex identification methods with applications
        []. "International Journal of Hydrodynamics, Available online at https://link.springer.com, http://www.jhydrod.com/, 2018,30(5)".
      • Journal Article
        19. Rortex and comparison with eigenvalue-based vortex identification criteria
        []. "Physics of Fluids, Volume 30, 085107 (2018)".
      • Journal Article
        20. Determination of epsilon for Omega vortex identification method
        []. "International Journal of Hydrodynamics, Volume 30, Issue 4, pp541-548, August 2018".
      • Journal Article
        21. A definition of vortex vector and vortex,
        []. "Journal of Fluid Mechanics (2018), vol. 849, pp. 312-339, © Cambridge University Press 2018".
      • Journal Article
        22. Spectrum study on unsteadiness of shock wave -vortex ring interaction
        []. "hysics of Fluids 30, 056101 (2018); doi: 10.1063/1.5027299,".
      • Journal Article
        23. Rortex—A new vortex vector definition and vorticity tensor and vector decompositions Physics
        []. "Physics of Fluids 30, 035103 (2018)".
      • Journal Article
        24. Correlation analysis on volume vorticity and vortex in late boundary layer transition
        []. 30, 014105 (2018), "PHYSICS OF FLUIDS ".
      • Journal Article
        Study on vorticity structure in late flow transition
        []. "Physics of Fluids, 30, 104108 (2018) ".

      2017
      • Journal Article
        25. Simulation of natural convection in an inclined polar cavity using a finite-difference lattice Boltzmann method
        []. 31 (6), pp 3053-3065. "International Journal of Numerical Methods for Heat and Fluid Flow,".
      • Journal Article
        New Theory on Turbulence Generation and Structure
        DNS and Experiment, SCIENCE CHINA, Physics, Mechanics & Astronomy
        [Liu, Chaoqun]. DNS and Experiment, SCIENCE, CHINA, Physics, Mechanics & Astronomy, News and View. 60(8), DOI: http://dx.doi.org/10.1007/s11433- 017 -9047 -2
      • Journal Article
        Simulation of natural convection in an inclined polar cavity using a finite -difference lattice Boltzmann ethod
        International Journal of Numerical Methods for Heat and Fluid Flow
        [Liu, Chaoqun]. Int'l Jornal of Numerical Methods for Heat and Fluid Flow. 31(6), 3053-3065.
      • Journal Article
        DNS Study on Vortex and Vorticity in Late Boundary Layer Transition
        [Liu, Chaoqun]. Communication in Computational Physics. DOI: http://dx.doi.org/10.4208

      2016
      • Journal Article
        12) New Visualization Method for Vortex Structure in Turbulence, by Lambda 2 and Vortex Filaments e
        [Liu, Chaoqun]. Journal of Applied Mathematical Modelling. 40, 500-509.
      • Journal Article
        8) Physics of multiple level hairpin vortex structures in turbulence
        [Liu, Chaoqun]. Science China Physics, Mechanics & Astronomy. 59(2), 1-11.
      • Journal Article
        9) DNS Study on the Formation of Lambda Rotational Core and the Role of TS Wave in Boundary Layer Transition
        9)
        [Liu, Chaoqun]. Journal of Turbulence. 17(6), 572-601.
      • Journal Article
        ILES for mechanism of ramp -type MVG reducing shock induced flow separation
        Science China, Physics, Mechanics & Astronomy
        [Liu, Chaoqun]. Science China, Physics, Mechanics & Astronomy. 59, DOI: http://dx.doi.org/10.1007/s11433- 016- 0348 -2
      • Journal Article
        DNS study on volume vorticity increase in boundary layer transition
        [Liu, Chaoqun]. Transactions of Nanjing University of Aeronautics and Astronautics. 33(3), 252-259.
      • Journal Article
        13) Physics of multiple level hairpin vortex structures in turbulence
        [Liu, Chaoqun]. Journal Of Science China, Physics, Mechanics and& Astronomy. 59,

      2015
      • Journal Article
        DNS Study on Mechanism of Flow Chaos in Late Boundary Layer Transition
        [Liu, Chaoqun]. CMSIM International Journal of Nonlinear Science. 157-168.
      • Journal Article
        Separation Topology of Microramp Vortex Generator Controlled Flow at Mach Number 2.5
        [Liu, Chaoqun]. Journal of Aircraft Co33280. 52(6), 2095-2100. DOI: http://dx.doi.org/10.2514/1.CO33280

      2014
      • Journal Article
        15) The Vortical Structures in the Rear Separation and Wake Produced by a Supersonic Micro - Ramp
        [Liu, Chaoqun]. J of Flow Turbulence Combust. 93, 25-36. DOI: http://dx.doi.org/10.1007/s10494-014-9531-y
      • Journal Article
        17) Physics of turbulence generation and sustenance in a boundary layer
        [Liu, Chaoqun]. Computers and Fluids. 102, 353-384.
      • Journal Article
        18) 18. Study on the ring like vortical structure in MVG controlled supersonic ramp flow with different inflow conditions
        [Liu, Chaoqun]. Aerospace Science and Technology. 35(106-115),
      • Journal Article
        22) Modified Weighted Compact Scheme for Shock Capturing
        [Liu, Chaoqun]. J. of Computers and Fluids, Computers and Fluids 96. 165-176.
      • Journal Article
        19)Numerical Investigation on Chaos in Late Boundary Layer Transition to Turbulence
        [Liu, Chaoqun]. J of Computer and Fluids. 91, 68-76.

      2013
      • Journal Article
        23) Study on Shock Wave -Vortex Ring Interaction by the Micro Vortex Generator Controlled Ramp Flow with Turbulent Inflow
        [Liu, Chaoqun]. Aerospace Science and Technology. 30, 226-231.
      • Journal Article
        28) Numerical Investigation on Mechanism of Multiple Vortex Rings Formation in Late Boundary-Layer Transition
        [Liu, Chaoqun]. J. of Computers and Fluids. 71, 156-158.
      • Journal Article
        38) Study on Multiple Ring -Like Vortex Formation and Small Vortex Generation in Late Flow Transition on a flat Plate
        [Liu, Chaoqun]. Theoretical and Numerica l Fluid Dynamics. 27(1), 41-70. DOI: http://dx.doi.org/10.1007/s00162- 0110247-5,
      • Journal Article
        39) High Order Implicit Compact Method for Ordinary Differential Equationss
        [Liu, Chaoqun]. Journal of Current Applied Mathematics. 27(1), 41-70.
      • Journal Article
        DNS Study for the Origin of the Flow Randomization in Late Boundary Layer Transition”
        [Liu, Chaoqun]. Special Issue of Global Journal of Mathematical Science.
      • Journal Article
        High -order Mixed Weighted Compact and Non- Compact Scheme for Shock and Small Length Scale Interaction, International Journal of Computer Mathematics
        [Liu, Chaoqun]. 90(2), 376-407.

      2012
      • Journal Article
        33) Micro Vortex Generators in High -Speed Flow
        [Liu, Chaoqun]. Journal of Progress in Aerospace Science. 53, 30-45.
      • Journal Article
        34)Numerical study on U -shaped vortex formation in late boundary layer transition
        [Liu, Chaoqun]. Journal of Computers and Fluid. 55, 36-47.
      • Journal Article
        35) New shock detector and improved control function for shock -boundary layer interaction
        [Liu, Chaoqun]. International Journal of Numerical Analysis and Modeling. 9, 460-478.
      • Journal Article
        36) A Modified Fourier Spectral MMethod for Non-Periodic PDE
        [Liu, Chaoqun]. International Journal of Numerical Analysis and Modeling. 9(2), 460-478.
      • Journal Article
        37) DNS Study on Mechanism of Small Length Scale Vortex Generation in Late Boundary Layer Transition
        [Liu, Chaoqun]. Physica D. 241, 11-24.
      • Journal Article
        38) Study on Multiple Ring -Like Vortex Formation and Small Vortex Generation in Late Flow Transition on a Flat Plate
        [Liu, Chaoqun]. Theoretical and Numerical Fluid Dynamics.
      • Journal Article
        New theories on boundary layer transition and turbulence formation, J. of Modeling and Simulation in Engineering
        [Liu, Chaoqun]. 2012, "Hindawi Publishing Corp. ".
      • Journal Article
        Surface Friction and Boundary Layer Thickeningin Transitional Flow
        [Liu, Chaoqun]. "InTech Publisher ".
      • Journal Article
        3 2) Numerical discovery and experimental confirmation of vortex ring generation by microramp vortex generator
        [Liu, Chaoqun]. , J. of Applied Mathematical Modeling. 36(11),
      • Journal Article
        Computational Fluid Dynamics and its Applications
        [Liu, Chaoqun, Yeoh, G, Tu, J, Timchenko, V]. "Hindawi Publishing Corp.".
      • Journal Article
        53)Numerical studies on evolution of secondary streamwise vortices in transitional
        [Liu, Chaoqun]. Applied Mathematics and Mechanics. 4, 449-458.
      • Journal Article
        Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction
        Communication in Computational Physics
        [Liu, Chaoqun]. CICP(Communication in Computational Physics). 11(3), 1022-1042.

      2011
      • Journal Article
        4) Advances in Computational Fluid Dynamics and Its Applications
        [Liu, Chaoqun, Yeoh, G, Tu, J, Timchenko, V]. "Hindawi Publishing Corp.".
      • Journal Article
        42) Implicit LES for Supersonic Micro ramp Vortex Generator - New Discoveries and New Mechanisms Advances in Computational Fluid Dynamics and Its Applications
        [Liu, Chaoqun]. 2011, "Hindawi Publishing Corp.".
      • Journal Article
        43)New Findings by High Order DNS for Late Flow Transition in a Boundary Layer
        [Liu, Chaoqun]. Special Issue, of J of Modeling and Simulation in Engineering. 2011, "Hindawi Publishing Corp.".
      • Journal Article
        45)Parallel DNS for vortex structure of late stages of flow transition
        [Liu, Chaoqun]. J. of Computers and Fluids. 45, 129-137.
      • Journal Article
        46)Numerical Investigations on the Effects of the Declining Angle of the Trailling-Edge of MVG -Edge
        [Liu, Chaoqun]. AIAA Journal. 47(6), 2086-2095.
      • Journal Article
        47) Numerical Study on Mechanisms of Second Sweep and Positive Spikes in Transitional Flow on a Flat Plate
        [Liu, Chaoqun]. Journal of Computers and Fluids. 40, 28-41.
      • Journal Article
        52) Numerical simulation on evolution of secondary streamwise vortices in transition al
        [Liu, Chaoqun]. Applied Mathematics and Mechanics. 4, 449-458.
      • Journal Article
        54) New properties of streamwise streaks in transitional boundary layers
        [Liu, Chaoqun]. Acta Physica Sinica. 60(9),
      • Journal Article
        Evolution of the vortex structures and turbulent spots at the late -stage of transitional boundary layers
        [Liu, Chaoqun]. Science of China, Physics, Mechanics & Astronomy. 54(5), 986-990.
      • Journal Article
        Numerical and Theoretical Study on “Vortex Breakdown"
        [Liu, Chaoqun]. International Journal of Computer Mathematics. 88(17), 3702-3708.

      2010
      • Journal Article
        51)New Shock/Discontinuity Detector
        [Liu, Chaoqun]. International Journal of Computer Mathematics.
      • Journal Article
        55) High Order Compact Scheme for Boundary Points
        [Liu, Chaoqun]. International Journal of C omputer Mathematics. 87(8), 1795-1819.
      • Journal Article
        48) New Shock Detector for Shock Boundary Layer Interaction
        [Liu, Chaoqun]. Lecture Notes in Computer Science, High Performance Computing and Applic ations. 78-87.
      • Journal Article
        Evolution in the ring -like vortices and spike structure in transitional boundary
        [Liu, Chaoqun]. Science of China, Physics, Mechanics & Astronomy. 53(3), 514-520.
      • Journal Article
        56) Truncation Error, Dissipation and Dispersion Terms of 5th Order WENO and of WCS
        [Liu, Chaoqun]. International Journal of Computer Mathematics. 887(2), 339-352.

      2008
      • Journal Article
        58) Numerical study of passive and active flow separation control over a NACA0012 airfoil
        [Liu, Chaoqun]. Computers and Fluids. 37(8), 975-992.
      • Journal Article
        57. High Order Compact Schemes for Dirichlet Boundary
        [Liu, Chaoqun]. J. of Neural, Parallel & Scientific Computation. 16(2), 273-282.
      • Journal Article
        59) Large Eddy Simulation of Wing Tip Vortex in the Near Field
        [Liu, Chaoqun]. International Journal of CFD. 22(5), 289-330.

      2007
      • Journal Article
        61)DNS for flow separation control around an airfoil by pause jets
        [Liu, Chaoqun]. J. of Computers and Fluids. 36, 1040-1060.

      2006
      • Journal Article
        64)High performance computation for DNS/LES
        [Liu, Chaoqun]. J. of Applied Mathematical Modeling. 30(10), 1143-1165.

      2005
      • Journal Article
        62) Truncation error reduction method for Poisson equation
        [Liu, Chaoqun]. Modern Physics Letters B. 19(28-29), 1555-1558.
      • Journal Article
        63)Direct numerical simulation of flow separation around a NACA 0012 airfoil
        [Liu, Chaoqun]. J. of Computers and Fluids. 34, 1096-1114.

      2004
      • Journal Article
        65) Direct Numerical Simulations of Crossflow Disturbances in Supersonic Boundary Layers
        [Liu, Chaoqun]. Journal of Mathematics and Computers in Simulation. 65, 469-487.

      2003
      • Journal Article
        66) Parallel DNS for Flow Separation and Transition around Airfoil
        [Liu, Chaoqun]. Parallel Computational Fluid Dynamics and Parallel CFD 2003 Conference. 205-212.

      2002
      • Journal Article
        s of weighted compact scheme to curvilinear coordinate system
        [Liu, Chaoqun]. Numerical Methods Applicatons. "Springer ".

      2001
      • Journal Article
        68)Weighted Compact Scheme for Shock Capturing
        [Liu, Chaoqun]. International Journal of Computational Fluid Dynamics. 15, 147-155.

      2000
      • Journal Article
        69) Numerical Investigation of Compressible Separated Flow around a NACA 0012 Airfoil at 12 Degree Angle of Attack
        [Liu, Chaoqun]. , International Journal of Computational Fluid Dynamics. 9(2), 84-92.

      1999
      • Journal Article
        70)
        [Liu, Chaoqun]. International Journal of Computational Fluid Dynamics. 13, 25-41.
      • Journal Article
        71) Direct numerical simulation of leading edge receptivity in a flat -plate boundary layer
        [Liu, Chaoqun]. International Journal of Computational Fluid Dynamics. 3, 470-480.

      1998
      • Journal Article
        74) . A contravarient velocity based implicit multilevel method for simulating the whole process of incompressible flow transition around Joukowsky airfoils
        [Liu, Chaoqun]. J. of Applied Mechanics and Engineering. 3(1), 111-161.
      • Journal Article
        75)Multigrid Methods for Steady and Time -Dependent Flow
        [Liu, Chaoqun, Hafez, Oshima ]. Computational Fluid Dynamics Review. 1, 512-535.
      • Journal Article
        78) Preconditioned multigrid methods for unsteady incompressible flows
        [Liu, Chaoqun]. J. of Computational Physics.(139), 35-37.

      1997
      • Journal Article
        77. Multigrid computation of incompressible flows using two- equation turbulent models
        [Liu, Chaoqun]. ASME Journal of Fluids Engineering. 119, 893-899.
      • Journal Article
        Multigrid, multiblock computation of incompressible flows using two- equation turbulent models Part II: Applications
        [Liu, Chaoqun]. ASME Journal of Fluids Engineering. 119, 900-905.

      1996
      • Journal Article
        79) NOx Prediction in 3- D Turbulent Diffusion Flames By Using Implicit Multigrid
        [Liu, Chaoqun, Liao, C, Liu, Z, Zheng, X]. Combust. Sci. and Tech. V.. 119, 219.

      1995
      • Journal Article
        81) Multigrid mapping and box relaxation for simulation of the whole process of flow
        [Liu, Chaoqun, Liu, Z]. J of Computational Physics. 119, 325-341.
      • Journal Article
        80) A Mass Flux Based Implicit Multigrid Method for Modeling Multi- Dimensional Combustion
        [Liu, Chaoqun, Zheng, X, Liao, C, Liu, Z]. Joint Propulsion Conference and Exhibit.

      1994
      • Journal Article
        #83) Fourth order finite difference and multigrid methods for modeling instability in flat
        [Liu, Chaoqun]. J Computers and Fluids. 23(7), 995-982.
      • Journal Article
        82)Multilevel methods for temporal and spatial f low transition simulation in a rough channel
        [Liu, Chaoqun, Liu, Z, Liu, ZX, McCormick, S]. International Journal for Numerical Methods in Fluids. 18,

      1993
      • Journal Article
        84) Multilevel adaptive methods for laminar diffusion flames
        [Liu, Chaoqun, Liu, Z, McCormick, S]. J. Computers and Fluids. 23(7), 995-982.
      • Journal Article
        86) High order finite difference and multigrid methods for spatially -evolving instabi lity
        [Liu, Chaoqun, Liu, Z]. Journal of Computational Physics. 106, 92-100.

      1992
      • Journal Article
        Communications In Applied Numerical Methods
        [Liu, Chaoqun, McCormick, S, Liu, Z]. Communications In Applied Numerical Methods. 8, 621-631.
      • Journal Article
        85) Finite volume and multigrid methods for modeling instabilities in flat plate boundary layers
        J. of Wind Engineering
        [Liu, Chaoqun, Liu, Z].(52), 412-417.

      1991
      • Journal Article
        88) Multilevel adaptive methods for incompressible flow in grooved channels
        [Liu, Chaoqun, Liu, Z, McCormick, S]. J of Computational and Applied Mathematics. 38, 283-295.
      • Journal Article
        89) Multigrid methods for flow transition in a planar channel
        [Liu, Chaoqun, Liu, Z, McCormick, S]. Computer Physics Communications. 188-200.

      1987
      • Journal Article
        90) A code for solving 3- D full Navier -Stokes equations of step flows
        [Liu, Chaoqun, Ho, Tang]. Computational Physics (China).(4),
      • Journal Article
        A calculation and analysis of the simplified flow field o f exhaust pipe with two outlets on oth sides
        [Liu, Chaoqun, Ho, Tang ]. Acta Aerodynamica Sinica. 5(4),

      1984
      • Journal Article
        92)The calculation of recirculating flow behind bluff body inside a pipe
        [Liu, Chaoqun, Qioufan, Zhen, Qian, Zhou]. J. of Combustion (China). 3,
      • Journal Article
        93) An improvement on the hybrid scheme of the transport equation
        [Liu, Chaoqun]. J. NAL (china).(4),
      • Journal Article
        94) A comment on artificial viscosity of the transport equation and a rotated alternate
        [Liu, Chaoqun]. Acta Aerodynamica Sinica.(3),
      • Journal Article
        95) A discussion on the finite difference theory of vorticity transport equations
        [Liu, Chaoqun]. J. NAI (China). 3,

      1983
      • Journal Article
        96) Asymptotic analysis of the flow field of viscous gas in a closed cylinder
        [Liu, Chaoqun, Aiming , Shi, Riefeng, Fu]. Acta Aerodynamica Sinica. 3,

      Unknown
      • Journal Article
        7) Motion around Λ vortices and vortex rings in boundary layer transition
        [Liu, Chaoqun]. J of Computational Technology (1925). 15-18.
      • Journal Article
        Numerical Study on Microramp Vortex Generator for Supersonic Ramp Flow Control at Mach
        [Liu, Chaoqun]. An International Journal on Shock Waves, Detonations and Explosions (1925).

      2019
      • Conference Proceeding
        29. LES for Prediction of Pressure Fluctuation for Supersonic Flow around a Truncated Cone
        []. "AIAA 2015-0584, Kissimmee, FL, USA, January 5-9, 2015".

      2018
      • Conference Proceeding
        2. Determination of Epsilon for Omega Vortex Identification Method,
        [].
      • Conference Proceeding
        4. Frequency Investigation on Unsteadiness of Shock-Vortex Ring Interaction
        []. "56thAIAA Aerospace Sciences Meeting, AIAA2018-0034, 2018.".
      • Conference Proceeding
        6. LES Study on Structure Characteristics of Shock/Vortex Ring Interaction
        []. "56thAIAA Aerospace Sciences Meeting, AIAA2018-1530, 2018.（EI）".
      • Conference Proceeding
        DNS study on large vortex ring formation in later flow transition
        []. "56thAIAA Aerospace Sciences Meeting, AIAA2018-0841, 2018.（EI）".
      • Conference Proceeding
        Rortex – Vorticity Tensor and Vector Dcomposition
        []. "WCCM2018, New York, July 23-27, 2018 ".

      In Process
      • Conference Proceeding
        Riblet-Controlled Turbulent Boundary Layer
        []. "WCCM2018, New York, July 23-27, 2018,". Published.

      2017
      • Conference Proceeding
        10. Line Box Relaxation Method and Multigrid Acceleration for Simulation of 2-D Jet Flow in a channel,
        []. "AIAA2017-0754, https://doi.org/10.2514/6.2017-0754, 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX".
      • Conference Proceeding
        11. Observation of the development of -vortex to hairpin vortex packet
        []. "AIAA2017-1458, https://doi.org/10.2514/6.2017-1458 , 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX".
      • Conference Proceeding
        12. Numerical Investigation on the Oblique Shock and High-speed Vortex Rings Interaction
        []. "AIAA2017-0490, https://doi.org/10.2514/6.2017-0490, 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX".
      • Conference Proceeding
        17. Large-Eddy Simulation of MVG Controlled Oblique Shockwave/Boundary Layer Interaction,
        []. "AIAA2017-1883, https://doi.org/10.2514/6.2017-1883 , 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX,".
      • Conference Proceeding
        7. STUDY ON THE GROWTH OF RING-LIKE VORTICAL STRUCTURES IN BOUNDARY LAYER
        []. " Mississippi Academy of Science 81st Annual Meeting, Hattiesburg, MS, February 23-24, 2017".
      • Conference Proceeding
        8. STUDY ON SWBLI IN MVG CONTROLLED RAMP FLOW WITH DIFFERENT INFLOW CONDITIONS
        []. "Mississippi Academy of Science 81st Annual Meeting, Hattiesburg, MS, February 23-24, 2017".
      • Conference Proceeding
        9. DNS study for the chaotic behavior of the late flow transition and turbulence
        []. "Chaos 2017 International Conference, Barcelona, Spain, May 30-June2, 2017".
      • Conference Proceeding
        DNS Study on Three Vortex Identification Methods,
        []. "AIAA2017-0490, https://doi.org/10.2514/6.2017-0137, 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX".
      • Conference Proceeding
        LES Study on Unsteadiness of Shock Boundary Layer Interaction
        []. "AIAA2017, 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX,".
      • Conference Proceeding
        Spectrum analysis of SWBLI under ramp-type MVG control
        []. "AIAA2017-0946, https://doi.org/10.2514/6.2017-0946 , 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX".
      • Conference Proceeding
        Weighted Upwinding Compact Scheme for shock capturing
        []. "AIAA2017-0308, https://doi.org/10.2514/6.2017-0308, 55th AIAA Aerospace Science Meeting, January 8-13, 2017, Grapevine, TX,".

      2016
      • Conference Proceeding
        18. Chebyshev spectral analysis on linear stability of incompressible flow
        []. "BAIL2016 Conference, Beijing, China, August 14-21, 2016 ".
      • Conference Proceeding
        22. DNS Study on Motion around a Vortex Ring in Transitional Boundary Layers
        []. "AIAA 2016-0327, 54th AIAA Aerospace Sciences Meeting, January 4-8, 2016, San Diego, California".
      • Conference Proceeding
        24. New Vorticity Identification Method and Vortex Ring Development Analysis in Boundary Layer Transition,
        []. "AIAA 2016-2068, 54th AIAA Aerospace Sciences Meeting, January 4-8, 2016, San Diego, California".
      • Conference Proceeding
        Analysis on Λ-vortex development in a transitional boundary layer
        []. "AIAA 2016-0326, 54th AIAA Aerospace Sciences Meeting, January 4-8, 2016, San Diego, California".
      • Conference Proceeding
        Construction Methodology of Weighted Upwind Compact Scheme
        []. "54th AIAA Aerospace Sciences Meeting, AIAA 2016-2061, January 4-8, 2016, San Diego, California".
      • Conference Proceeding
        LES Analysis on Shock-Vortex Ring Interaction,
        []. "AIAA 2016-0571, 54th AIAA Aerospace Sciences Meeting, January 4-8, 2016, San Diego, California,".
      • Conference Proceeding
        Some Self-Contradictions in Current Turbulence Theory
        []. "AIAA 2016-2064, 54th AIAA Aerospace Sciences Meeting, January 4-8, 2016, San Diego, California. ".

      2015
      • Conference Proceeding
        31. LES Study on Mechanism of reduction of Shock Induced Separation by MVG
        []. "AIAA 2015-1240, Kissimmee, FL, USA, January 5-9, 2015".
      • Conference Proceeding
        32. Optimization of MVG Position for Control of Shock Boundary Interaction,
        []. "AIAA 2015-1487, Kissimmee, FL, USA, January 5-9, 2015".
      • Conference Proceeding
        34. DNS Study on the Evolution of Vortical Packets and Their Interactions in Boundary Laye
        []. "AIAA 2015-1971, Kissimmee, FL, USA, January 5-9, 2015,".
      • Conference Proceeding
        35. High Order LES for Supersonic Backward-facing Step Flow with Turbulent Inflow
        []. "AIAA 2015-1980, Kissimmee, FL, USA, January 5-9, 2015, ".
      • Conference Proceeding
        DNS Study on Hairpin Vortex Structure in Turbulence
        []. "AIAA 2015-1524, Kissimmee, FL, USA, January 5-9, 2015,".
      • Conference Proceeding
        DNS Study on Role of Linearly Unstable Modes in Flow Transition,
        []. "AIAA 2015-0585, Kissimmee, FL, USA, January 5-9, 2015".

      1999
      • Other
        72)Study of flow transition in a supersonic flat -plate boundary layer: Large eddy simulation and validation
        [Liu, Chaoqun]. International Journal of Computational Fluid Dynamics. 8, 208-219.

      1998
      • Other
        73) Turbulent transition simulation using the k- omega model
        [Liu, Chaoqun]. International Journal for Numeric Methods in Engineering. 42, 907-926.

Presentations

    • July  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Nanjing University of Sci & Tech, Nanjing, China . (July , 2019).
    • July  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Nanjing University of Aero & Astro, Nanjing, China. (July , 2019).
    • July  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Fudan University, Shanghai, China. (July , 2019).
    • July  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex, ", Unive of Shanghai for Sci & Tech, Shanghai, China. (July , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Northern China Univ of Electrical Power, Beijing, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Research Institute of Mechanics, Beijing, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Beihang University, Beijing, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Beijing Institute of Technology, Beijing, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, " Liutex and Third Generations of Vortex", Tsinghua University, Beijing, China . (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex". (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Xiamen, University, Xiamen, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex", Fujian Univ. of Sci & Tech, Fuzhou, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex Identification Methods", USST. (June , 2019).
    • June  2019
      Liu, Chaoqun, "Liutex and Third Generations of Vortex,", Chinese University of Petroleum, Beijing, China. (June , 2019).
    • June  2019
      Liu, Chaoqun, " Liutex Core Identification", Wuhan University, Wuhan, China. (June , 2019).
    • April  2019
      Liu, Chaoqun, "Third generation of vortex definition and identification". (April , 2019).
    • March  2019
      Liu, Chaoqun, "Third generation of vortex definition and identification". (March , 2019).
    • December  2018
      Liu, Chaoqun, " New Vortex Identification", Fudan University, Shanghai, China. (December , 2018).
    •  2018
      Liu, Chaoqun, "New Vortex Identification", University of Shanghai for Sci & Tech, Shanghai, China. ( , 2018).
    •  2018
      Liu, Chaoqun, "New Vortex Identification", Northern China Univ. of Electrical Power, Keynote Speaker. ( , 2018).

Students Supervised

    • Present
      Dissertation Committee Chair
      Pushpa Shrestha,
    • Present
      Dissertation Committee Chair
      Vishwa Patel , (Mathematics)
    • Present
      Dissertation Committee Chair
      Yu Yu,
    • Present
      Dissertation Committee Chair
      Xuan Truong,
    • Present
      Dissertation Committee Chair
      Charles Nottage,
    • 2019
      Dissertation Committee Member
      Dezhi Dai,
    • 2019
      Graduate Supervised Research
      Wenqian Xu,
    • 2019
      Master's Thesis Committee Chair
      Jonathan Whitson,
    • 2019
      Other
      Jianming Liu,
      Visiting Scholar
    • 2019
      Graduate Supervised Research
      Xiangrui Dong,
    • 2019
      Postdoctoral Research Supervision
      Yisheng Gao,
    • 2019
      Dissertation Committee Chair
      Sita Charkrit ,
    • 2018
      Graduate Supervised Research
      Panpan Yan,
    • 2018
      Other
      Xiaoping Chen,
      Visiting Scholar
    • 2018
      Postdoctoral Research Supervision
      Shuling Tian,
    • 2017
      Graduate Supervised Research
      Guang Yang,
    • 2016
      Graduate Supervised Research
      Yiqian Wang,

Courses

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        (Topic: High Order Scheme for SBLI | Course Id: 108486)
        Spring - Regular Academic Session - 2011
      • MATH 6399-004 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2010
      • MATH 6999-001 DISSERTATION
        (Course Id: 110861)
        Fall - Regular Academic Session - 2010
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2010
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Lg Eddy Sim for High Spd Flow | Course Id: 108486)
        Fall - Regular Academic Session - 2010
      • MATH 6399-002 DISSERTATION
        (Course Id: 110859)
        Summer - Eleven Week - 2010
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: High Order Subgrid Models | Course Id: 108486)
        Summer - Five Week - Second - 2010
      • MATH 5391-002 SPECIAL TOPICS IN MATH
        (Topic: LES for Shock-Boundary Layer | Course Id: 108486)
        Summer - Five Week - Second - 2010
      • MATH 6399-003 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2010
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2010
      • MATH 4391-005 SPECIAL TOPICS IN MATH
        (Topic: Numerical Analysis II | Course Id: 108404)
        Spring - Regular Academic Session - 2010
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: DNS for Flow Transition | Course Id: 108486)
        Spring - Regular Academic Session - 2010
      • MATH 6399-003 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2009
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2009
      • MATH 4391-008 SPECIAL TOPICS IN MATH
        (Topic: Numerical Analysis I | Course Id: 108404)
        Fall - Regular Academic Session - 2009
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Topic: Numerical Methods Viscous Flow | Course Id: 108486)
        Fall - Regular Academic Session - 2009

Service to the University

    • 2017 to  2020 Chairperson
      Graduate Affair Committee

Service to the Profession

    • 2018 to  Present
      Reviewer, Journal Article
      10. International J of Hydrodynamics
    • 2018 to  Present
      Reviewer, Journal Article
      11. ANUCENE (Nuclear Engineering)
    • 2018 to  Present
      Reviewer, Journal Article
      14. Physics of Fluids
    • 2018 to  Present
      Reviewer, Journal Article
      15. Physics of Fluids
    • 2018 to  Present
      Reviewer, Journal Article
      16. Journal of Aerospace Engineering
    • 2018 to  Present
      Reviewer, Journal Article
      2. Computers and Fluids,
    • 2018 to  Present
      Reviewer, Journal Article
      3. Computers and Fluids
    • 2018 to  Present
      Reviewer, Journal Article
      6. International J of Fluid Mechanics Research
    • 2018 to  Present
      Reviewer, Journal Article
      7. J of Modern Physics
    • 2018 to  Present
      Reviewer, Journal Article
      8. J of NUAA
    • 2018 to  Present
      Board of Directors
      ACTA Acedeniica Journal
    • 2018 to  Present
      Reviewer, Journal Article
      Applied Mathematical Modling,
    • 2018 to  Present
      Reviewer, Grant Proposal
      AUSTRALIAN RESEARCH COUNCIL Discovery Projects
    • 2018 to  Present
      Reviewer, Journal Article
      Computers and Mathematics with Applications
    • 2018 to  Present
      Reviewer, Journal Article
      J of Fluid Mechanics
    • 2018 to  Present
      Reviewer, Ad Hoc Reviewer
      Missouri University of Sci & Tech
    • 2018 to  Present
      Reviewer, Grant Proposal
      NSF of Russia
    • 2018 to  Present
      Reviewer, Journal Article
      Ocean Engineering,
    • 2018 to  Present
      Reviewer, Journal Article
      Physics of Fluids
    • 2017 to  Present
      Board of Directors
      NUAA Journal