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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

    • 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

Publications

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

      Journal Article 2016
      • 12) New Visualization Method for Vortex Structure in Turbulence, by Lambda 2 and Vortex Filaments e
        [Liu, Chaoqun]. 40, 500-509 [.]
      2016
      • 8) Physics of multiple level hairpin vortex structures in turbulence
        [Liu, Chaoqun]. 59(2), 1-11 [.]
      2016
      • 9) DNS Study on the Formation of Lambda Rotational Core and the Role of TS Wave in Boundary Layer Transition
        [Liu, Chaoqun]. 17(6), 572-601 [.]
      2016 2016 2016
      • DNS study on volume vorticity increase in boundary layer transition
        [Liu, Chaoqun]. 33(3), 252-259 [.]
      2016
      • 13) Physics of multiple level hairpin vortex structures in turbulence
        [Liu, Chaoqun]. 59,

      Journal Article 2015
      • DNS Study on Mechanism of Flow Chaos in Late Boundary Layer Transition
        [Liu, Chaoqun]. 157-168 [.]
      2015

      Book Review 2014
      Journal Article 2014 2014
      • 17) Physics of turbulence generation and sustenance in a boundary layer
        [Liu, Chaoqun]. 102, 353-384 [.]
      2014
      • 18) 18. Study on the ring like vortical structure in MVG controlled supersonic ramp flow with different inflow conditions
        [Liu, Chaoqun]. 35(106-115),
      2014 2014
      • 22) Modified Weighted Compact Scheme for Shock Capturing
        [Liu, Chaoqun]. 165-176 [.]
      2014 2014
      • 19)Numerical Investigation on Chaos in Late Boundary Layer Transition to Turbulence
        [Liu, Chaoqun]. 91, 68-76 [.]

      Journal Article 2013
      • 23) Study on Shock Wave -Vortex Ring Interaction by the Micro Vortex Generator Controlled Ramp Flow with Turbulent Inflow
        [Liu, Chaoqun]. 30, 226-231 [.]
      2013 2013 2013
      • 28) Numerical Investigation on Mechanism of Multiple Vortex Rings Formation in Late Boundary-Layer Transition
        [Liu, Chaoqun]. 71, 156-158 [.]
      2013 2013
      • 39) High Order Implicit Compact Method for Ordinary Differential Equationss
        [Liu, Chaoqun]. 27(1), 41-70 [.]
      2013
      • DNS Study for the Origin of the Flow Randomization in Late Boundary Layer Transition”
        [Liu, Chaoqun].
      2013
      • 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 [.]

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

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

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

      Journal Article 2010
      • 51)New Shock/Discontinuity Detector
        [Liu, Chaoqun].
      2010
      • 55) High Order Compact Scheme for Boundary Points
        [Liu, Chaoqun]. 87(8), 1795-1819 [.]
      2010
      • 48) New Shock Detector for Shock Boundary Layer Interaction
        [Liu, Chaoqun]. 78-87 [.]
      2010
      • Evolution in the ring -like vortices and spike structure in transitional boundary
        [Liu, Chaoqun]. 53(3), 514-520 [.]
      2010
      • 56) Truncation Error, Dissipation and Dispersion Terms of 5th Order WENO and of WCS
        [Liu, Chaoqun]. 887(2), 339-352 [.]

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

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

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

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

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

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

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

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

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

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

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

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

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

      Other 1998
      • 73) Turbulent transition simulation using the k- omega model
        [Liu, Chaoqun]. 42, 907-926 [.]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 Feb 2021 Next Generation Advances in Ionosphere Thermosphere Coupling at Multiple Scales for Environmental Specification and Prediction sponsored by  - $5391982.02
      (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  - $34999.30078125
      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  - $74996.5
      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)

Courses

      • MATH 6699-007 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2019
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2019
      • MATH 5399-007 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2019
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2019
      • MATH 5999-005 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Fall - Regular Academic Session - 2019
      • MATH 6699-005 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2019
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2019
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2019
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402 | Xlist Coursepre: Math | Xlist Coursenum: 5339)
        Spring - Regular Academic Session - 2019 Download Syllabus
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453 | Xlist Coursepre: Math | Xlist Coursenum: 4345)
        Spring - Regular Academic Session - 2019 Download Syllabus
      • MATH 5699-001 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2019
      • MATH 5395-004 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2019
      • MATH 6699-001 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2018
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2018 Download Syllabus
      • MATH 5399-004 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2018
      • MATH 5399-006 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2018
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2018
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2018
      • MATH 5391-020 SPECIAL TOPICS IN MATH
        (Topic: Computational fluid dynamics | Course Id: 108486)
        Fall - Regular Academic Session - 2018
      • MATH 5399-004 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Five Week - Second - 2018
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2018
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402 | Xlist Coursepre: Math | Xlist Coursenum: 5339)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453 | Xlist Coursepre: Math | Xlist Coursenum: 4345)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2018
      • MATH 5999-005 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2018
      • MATH 5391-114 SPECIAL TOPICS IN MATH
        (Topic: High Order DNS for Turbulence | Course Id: 108486)
        Spring - Regular Academic Session - 2018
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2017
      • MATH 5399-002 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2017
      • MATH 5999-005 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Fall - Regular Academic Session - 2017
      • MATH 5391-009 SPECIAL TOPICS IN MATH
        (Topic: computational fluid dynamics | Course Id: 108486)
        Fall - Regular Academic Session - 2017
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Five Week - First - 2017
      • MATH 7399-003 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2017
      • MATH 6399-002 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2017
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2017
      • MATH 7399-003 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Spring - Regular Academic Session - 2017
      • MATH 5399-003 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2017
      • MATH 5395-002 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2017
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: Inverse Problems | Course Id: 108486)
        Spring - Regular Academic Session - 2017
      • MATH 6699-010 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2016
      • MATH 3345-001 NUMERICAL ANALYSIS & COMP APPS
        (Course Id: 108378)
        Fall - Regular Academic Session - 2016
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2016
      • MATH 5699-005 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2016
      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Summer - Five Week - First - 2016
      • MATH 6399-002 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2016
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2016
      • MATH 5399-003 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2016
      • MATH 5399-006 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2016
      • MATH 5699-004 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Spring - Regular Academic Session - 2016
      • MATH 5392-004 SELECTED TOPICS IN MATH
        (Topic: High Order DNS for Turbulance | Course Id: 108487)
        Spring - Regular Academic Session - 2016
      • MATH 5395-003 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2016
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2015
      • MATH 5399-007 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Fall - Regular Academic Session - 2015
      • MATH 5699-007 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2015
      • MATH 5392-004 SELECTED TOPICS IN MATH
        (Topic: High Order Num Simulation | Course Id: 108487)
        Fall - Regular Academic Session - 2015
      • MATH 5699-006 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2015
      • MATH 6999-006 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2015
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402)
        Spring - Regular Academic Session - 2015
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2015
      • MATH 5395-003 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2015
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Direct Num. Sim. for Turbulanc | Course Id: 108486)
        Spring - Regular Academic Session - 2015
      • MATH 7399-002 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Fall - Regular Academic Session - 2014
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2014
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Introduction of High Order CFD | Course Id: 108486)
        Fall - Regular Academic Session - 2014
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Topic: Introduction to CFD | Course Id: 108486)
        Summer - Eleven Week - 2014
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402)
        Spring - Regular Academic Session - 2014
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2014
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2014
      • MATH 5391-004 SPECIAL TOPICS IN MATH
        (Topic: Computational Fluid Dynamics | Course Id: 108486)
        Spring - Regular Academic Session - 2014
      • MATH 7399-001 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Fall - Regular Academic Session - 2013
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2013
      • MATH 5395-003 SPECIAL PROJECT
        (Topic: Data Proc of DNS Flow Trans | Course Id: 108489)
        Fall - Regular Academic Session - 2013
      • MATH 5395-007 SPECIAL PROJECT
        (Course Id: 108489)
        Fall - Regular Academic Session - 2013
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2013
      • MATH 5391-002 SPECIAL TOPICS IN MATH
        (Topic: Intro Computational Fluid Dyn | Course Id: 108486)
        Summer - Five Week - Second - 2013
      • MATH 6699-007 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2013
      • MATH 4345-001 NUM ANLYS & CMPTR APPS II
        (Course Id: 108402)
        Spring - Regular Academic Session - 2013
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2013
      • MATH 5391-010 SPECIAL TOPICS IN MATH
        (Topic: Math & Stats Analy/Ship Data | Course Id: 108486)
        Spring - Regular Academic Session - 2013
      • MATH 6999-009 DISSERTATION
        (Course Id: 110861)
        Fall - Regular Academic Session - 2012
      • MATH 5338-001 NUMERICAL ANALYSIS I
        (Course Id: 108452)
        Fall - Regular Academic Session - 2012
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: Math & Stat Analysis for Ship | Course Id: 108486)
        Fall - Regular Academic Session - 2012
      • MATH 6699-002 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2012
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: CPT | Course Id: 108486)
        Summer - Eleven Week - 2012
      • MATH 6399-001 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2012
      • MATH 6699-010 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2012
      • MATH 6999-001 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2012
      • MATH 5392-002 SELECTED TOPICS IN MATH
        (Topic: High Order CFD/High Speed Flow | Course Id: 108487)
        Spring - Regular Academic Session - 2012
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Computational Hydrodynamics | Course Id: 108486)
        Spring - Regular Academic Session - 2012
      • MATH 6399-002 DISSERTATION
        (Course Id: 110859)
        Fall - Regular Academic Session - 2011
      • MATH 5392-004 SELECTED TOPICS IN MATH
        (Topic: Higher Order CFD | Course Id: 108487)
        Fall - Regular Academic Session - 2011
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: CFD Analysis Based/Marine Tech | Course Id: 108486)
        Fall - Regular Academic Session - 2011
      • MATH 6699-002 DISSERTATION
        (Course Id: 110860)
        Summer - Five Week - Second - 2011
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: High Order CFD/Supersonic Flow | Course Id: 108486)
        Summer - Five Week - Second - 2011
      • MATH 5391-006 SPECIAL TOPICS IN MATH
        (Topic: High Order LES/ Supersonic MVG | Course Id: 108486)
        Summer - Eleven Week - 2011
      • MATH 5391-008 SPECIAL TOPICS IN MATH
        (Topic: DNS for Transition | Course Id: 108486)
        Summer - Eleven Week - 2011
      • MATH 6999-007 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2011
      • MATH 5339-001 NUMERICAL ANALYSIS II
        (Course Id: 108453)
        Spring - Regular Academic Session - 2011
      • MATH 5395-006 SPECIAL PROJECT
        (Topic: High Order Scheme for SBLI | Course Id: 108489)
        Spring - Regular Academic Session - 2011
      • MATH 5391-013 SPECIAL TOPICS IN MATH
        (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