Sheng Xu
Assistant Professor

235 Clements Hall, SMU Math, Dallas, TX 75275-0156
Voice: (214)768-2985, Fax : (214)768-2355
Email: sxu@smu.edu
SMU
MATH


BIOGRAPHY
  • Education
    • Ph.D: Cornell University, Mechanical and Aerospace Engineering, May 2002
    • M.E.: Tsinghua University (China), Thermal Energy Engineering, July 1998
    • B.S.: University of Science and Technology of China, Thermo-physics, July 1995
  • Working Experience
    • Aug. 2006 - : Assistant Professor, Mathematics, SMU
    • April 2006 - July 2006: Engineer, Steam Turbine Aerodynamics, GE Energy in Schenectady, NY
    • July 2003 - March 2006: Post-doc, Theoretical and Applied Mechanics, Cornell University
    • June 2002 - June 2003: Post-doc, Mechanical and Aerospace Engineering, Princeton University
  • Synergistic Activities
    • Member of SIAM, APS, and ASME, Associate Member of AIAA Fluid Dynamics Technical Committee (to review AIAA papers and facilitate AIAA technical events)
    • Reviewer for * J. Comput. Phys., * Comput. Methods Appl. Mech. Engrg., * J. Fluid Mech., * Phy. Fluids, ...
  • Ciriculum Vitae [PDF]


RESEARCH

My research interests center on the development and application of computational techniques for problems in fluid mechanics and aerodynamics, including aerodynamics of insect flight, flow and turbulence control, supersonic and hypersonic turbulence, and two-fluid flows. Currently I am developing the immersed interface method for fluid-solid and fluid-fluid interface problems. My current research is supported by the NSF grant DMS #0915237.



TEACHING
  • SMU Course Bb: [LINK]
  • MATH 1337 - Calculus I: Fall 2006 (course webpage [LINK]), Spring 2008
  • MATH 3315/CSE 3365 - Scientific Computing: Spring 2007, Fall 2007
  • MATH 2343 - Differential Equations: Spring 2008, Fall 2008, Fall 2009
  • MATH 3353 - Linear Algebra: Fall 2008, Spring 2009
  • MATH 6315 - Numerical PDEs: Fall 2009


DOWNLOAD
  • MATLAB test code for Newton dynamics of free insect flight: [MAIN, FUNCTION]
  • IIM codes: 2D, 2D Inv, 3D, 3D Inv.


PUBLICATIONS
  • Journal Papers
    1. Sheng Xu, Fluid Force and Torque on a Rigid Object in an Incompressible Viscous Flow, Appl. Math. Lett., submitted, 2009 [PDF]
    2. Sheng Xu, Implemental Formulation of Newton Dynamics for Free Insect Flight, Q J Mechanics Applied Math, submitted, 2009 [PDF]
    3. Sheng Xu, Singular Forces in the Immersed Interface Method for Rigid Objects in 3D, Appl. Math. Lett., 22, pp.827-833, 2009 [PDF]
    4. Sheng Xu, The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow, J. Comput. Phys., 227, pp.5045-5071, 2008 [PDF]
    5. Sheng Xu and Z. Jane Wang, A 3D Immersed Interface Method for Fluid-Solid Interaction, Comput. Methods Appl. Mech. Engrg., 197, pp. 2068-2086, 2008 [PDF]
    6. Attila J. Bergou, Sheng Xu and Z. Jane Wang, Passive wing pitch reversal in insect flight, J. Fluid Mech., vol 591, pp.321-337, 2007 [PDF]
    7. Sheng Xu and Z. Jane Wang, An Immersed Interface Method for Simulating the Interaction of a Fluid with Moving Boundaries, J. Comput. Phys., vol 216, no 2, pp.454-493, 2006 [PDF]
    8. Sheng Xu and Z. Jane Wang, Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-dimensional Flow Simulation, SIAM J. Sci. Comp., vol 27, no 6, pp.1948-1980, 2006 [PDF]
    9. Sheng Xu and M. Pino Martin, Assessment of inflow boundary conditions for compressible turbulent boundary layers, Phys. Fluids, vol 16, no 7, pp.2623-2639, 2004 [PDF]
    10. S. Xu, D. Rempfer and J. Lumley, Turbulence over a compliant surface: numerical simulation and analysis, J. Fluid Mech., vol 478, pp.11-34, 2003 [PDF]
  • Peer-reviewed Conference Papers
    1. Sheng Xu, Derivation of principal jump conditions for the immersed interface method in two-fluid flow simulation, The proceedings of the seventh AIMS international conference on dynamical systems, differential equations and applications, in press, 2009 [PDF]
    2. Sheng Xu and M. Pino Martin, Inflow boundary conditions for compressible turbulent boundary layers, AIAA paper, 03-3963, 16th AIAA Computational Fluid Dynamics Conference, Orlando, FL, June 22-26, 2003
    3. M. Pino Martin, Sheng Xu and Minwei Wu, DNS of Shock/Turbulent-boundary-layer interaction, AIAA paper, 03-3464, 33rd AIAA Fluid Dynamics Conference and Exhibit, Orlando, FL, June 22-26, 2003
  • Book Chapters
    1. D. Rempfer, L. Parsons, S. Xu and J. Lumley, Theoretical approaches to the effect of wall compliance on turbulent flow, IUTAM Symposium on Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries, the Proceedings of the symposium, edited by P. W. Carpenter and T. J. Pedley, Kluwer Academic Publishers
    2. D. Rempfer, L. Parsons, S. Xu and J. Lumley, Turbulent boundary layers over compliant walls: low-dimensional models and direct simulations, the Processings of the Symposium on Sedimentation and Sediment Transport, edited by A. Gyr and W. Kinzelbach, 2002


PRESENTATIONS
  • Invited Talks
    1. An immersed interface method for fluid-solid interaction, Department of Mechanical Engineering, Stanford University, April 18, 2006
    2. An immersed interface method for fluid-solid interaction, Department of Mathematics, Southern Methodist University, March 28, 2006
    3. An immersed interface method for fluid-solid interaction, Department of Applied Mathematics, University of California at Merced, March 10, 2006
    4. An immersed interface method for fluid-solid interaction, Department of Aerospace and Mechanical Engineering, Boston University, Feb. 23, 2006
    5. An immersed interface method for simulating the interaction of a fluid with moving deformable boundaries, Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei, China, Dec. 14, 2005
    6. An immersed interface method for simulating viscous flows subject to moving deformable boundaries, Department of Mathematics, North Carolina State University, Aug. 16, 2005
    7. Turbulence over a compliant surface: numerical simulation and analysis, Department of Mechanical Engineering, Tulane University, Jan. 23, 2003
  • Contributed Talks and Posters
    1. The immersed interface method for insect flight simulation, 61st Annual APS-DFD meeting, San Antonio, TX, Nov. 23-25, 2008
    2. The immersed interface method for simulating prescribed motion of rigid objects in a flow, 2008 SIAM Anuual Meeting, San Diego, CA, July 7-11, 2008
    3. The immersed interface method for the interaction of a fluid with rigid solids, 7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, University of Texas at Arlington, TX, May 18-21, 2008
    4. Singular forces in the Navier-Stokes equations to enforce the prescribed motion of rigid boundaries, 2007 SAMSI Random Media Workshop, Research Triangle Park, NC, Sep. 23-26, 2007
    5. Singular forces in the Navier-Stokes equations to enforce the prescribed motion of rigid boundaries, Fluid DTU Summer School - Complex Motion in Fluids, Krogerup, Denmark, Aug. 19-25, 2007
    6. An Immersed Interface Method for Fluid-Solid Interaction, 59th Annual APS-DFD meeting, Tampa Bay, FL, Nov. 19-21, 2006 [PPT]
    7. An Immersed Interface Method for Simulation of 3D Incompressible Viscous Flow with Moving Objects, 7th World Congress on Computational Mechanics, Los Angeles, CA, July 16-22, 2006
    8. A 3D Immersed interface method, 58th Annual APS-DFD meeting, Chicago, IL, Nov. 20-22, 2005
    9. An Immersed Interface Method for Simulating the Interaction of a Fluid with Moving Boundaries, 2005 SIAM Annual Meeting, New Orleans, LA, July 11-14, 2005
    10. An Immersed interface method for flow with multiple moving deformable objects, 57th Annual APS-DFD meeting, Seattle, WA, Nov. 21-23, 2004
    11. An Immersed Interface Method for Simulating the Interaction between a Fluid and Moving Boundaries, Fluid Dynamics Seminar (FDS), Cornell University, Nov. 2, 2004
    12. Inflow boundary conditions for compressible turbulent boundary layers, 16th AIAA CFD Conference, Orlando, FL, June 22-26, 2003
    13. Turbulence over a Compliant Surface: Numerical Simulation and Analysis, The 55th Annual Meeting of the APS-DFD, Dallas, TX, Nov. 23-26, 2002
    14. Inflow Boundary Conditions for Hypersonic Turbulent Boundary Layers, The 55th Annual Meeting of the APS-DFD, Dallas, TX, Nov. 23-26, 2002
    15. Turbulence over a Compliant Wall: Numerical Simulation and Analysis, Stability, Transition, Turbulence Seminar (STTS), Cornell University, May 7, 2002
    16. DNS of the Interaction of Near-wall Turbulence with a Compliant Wall, The 54th Annual Meeting of APS-DFD, San Diego, CA, Nov. 21-24, 2001
    17. Wall Compliance Leading to Transition Delay and Turbulent Skin Friction Reduction, Stability, Transition, Turbulence Seminar (STTS), Cornell University, April 3, 2001
    18. Direct Numerical Simulation of the Interaction of Near-wall Turbulence with a Compliant Wall, IUTAM Symposium on FLow in Collapsible Tubes and Past Other Highly Compliant Boundaries, University of Warwick, England, March 26-30, 2001
    19. Direct Numerical Simulation of the Interaction of Near-Wall Turbulence with a Compliant Boundary, The 53rd Annual Meeting of APS-DFD, Washington D.C., Nov. 19-21, 2000
    20. Direct Numerical Simulation of the Interaction of Near-Wall Turbulence with a Compliant Surface, The 52nd Annual Meeting of APS-DFD, New Orleans, LA, Nov. 21-23, 1999


OTHERS
  • Links
    1. My old personal webpage [LINK]
    2. Professor Z. Jane Wang's research group [LINK]




Last revised: 04/07/09