MATHEMATICS
Sheng Xu
Assistant Professor 

  235 Clements Hall        Voice: (214)768-2985

  SMU, Math Department     Fax  : (214)768-2355

Dallas, TX 75275-0156    Email: sxu@smu.edu


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., Comm. Comput. Phys., Phy. Fluids, Comput. Methods Appl. Mech. Engrg., Int. J. Comput. Fluid Dynam., J. Fluids Eng.
  • Ciriculum Vitae [PDF]


RESEARCH

My research interests center on the development and application of computational techniques for problems in fluid mechanics and aerodynamics, including insect flight aerodynamics, physiological flow with compliant walls, flow and turbulence control, supersonic and hypersonic turbulence, and two-fluid flow. Currently I am developing numerical methods to study the 3D and flexibility effects of insect wings on insect flight. The methods are based on the immersed interface method, which solves the Navier-Stokes equations subject to singular forces by incorporating singularity-induced jump conditions into numerical schemes.



TEACHING
  • Fall 2007: MATH 1337 - Calculus I and MATH 1338 - Calculus II, electronic Blackboard (Bb) [LINK]
  • Spring 2007: MATH 3315/CSE 3365 - Introduction to Scientific Computing, electronic Blackboard (Bb) [LINK]
  • Fall 2006: MATH 1337 - Calculus I, course webpage [LINK] and electronic Blackboard (Bb) [LINK]


PUBLICATIONS
  • Journal Papers
    1. Sheng Xu, An Inverse Immersed Interface Method to Enforce the Prescribed Motion of Rigid Boundaries in Incompressible Viscous Flow, J. Comput. Phys., submitted, 2007 [PDF]
    2. Sheng Xu and Z. Jane Wang, A 3D Immersed Interface Method for Fluid-Solid Interaction, Comput. Methods Appl. Mech. Engrg., accepted, 2007 [PDF]
    3. Attila J. Bergou, Sheng Xu and Z. Jane Wang, Passive wing pitch reversal in insect flight, J. Fluid Mech., accepted, 2007 [PDF]
    4. 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]
    5. 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]
    6. 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]
    7. 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]
  • Conference Papers
    1. 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
    2. 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, published by Kluwer Academic Publishers, Dordrecht, The Netherlands, 2003, ISBN 1-4020-1161-X


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. An Immersed Interface Method for Fluid-Solid Interaction, 59th Annual APS-DFD meeting, Tampa Bay, FL, Nov. 19-21, 2006 [PPT]
    2. 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
    3. A 3D Immersed interface method, 58th Annual APS-DFD meeting, Chicago, IL, Nov. 20-22, 2005
    4. 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
    5. An Immersed interface method for flow with multiple moving deformable objects, 57th Annual APS-DFD meeting, Seattle, WA, Nov. 21-23, 2004
    6. An Immersed Interface Method for Simulating the Interaction between a Fluid and Moving Boundaries, Fluid Dynamics Seminar (FDS), Cornell University, Nov. 2, 2004
    7. Inflow boundary conditions for compressible turbulent boundary layers, 16th AIAA CFD Conference, Orlando, FL, June 22-26, 2003
    8. Turbulence over a Compliant Surface: Numerical Simulation and Analysis, The 55th Annual Meeting of the APS-DFD, Dallas, TX, Nov. 23-26, 2002
    9. Inflow Boundary Conditions for Hypersonic Turbulent Boundary Layers, The 55th Annual Meeting of the APS-DFD, Dallas, TX, Nov. 23-26, 2002
    10. Turbulence over a Compliant Wall: Numerical Simulation and Analysis, Stability, Transition, Turbulence Seminar (STTS), Cornell University, May 7, 2002
    11. 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
    12. Wall Compliance Leading to Transition Delay and Turbulent Skin Friction Reduction, Stability, Transition, Turbulence Seminar (STTS), Cornell University, April 3, 2001
    13. 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
    14. 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
    15. 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 (Please fill out the form to access the webpage.)
      Login Area
      My wife's first name:
      My wife's last name:
    2. Figures and movies
    3. Temporary files for download

Last revised: 07/24/07