• Biography
• Research
• Teaching
• Supervising
• Publications
• Presentations
• Others

• The Second International Conference on Scientific Computing (ICSC12) Nanjing, China, May 22-25, 2012 [LINK]

• Ciriculum Vitae [PDF]
• Old Personal Webpage [LINK]
• 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. 2012 - : Associate Professor, Mathematics, SMU
• Aug. 2006 - Aug. 2012 : 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
• Reviewer for * J. Comput. Phys., * Comput. Methods Appl. Mech. Engrg., * J. Fluid Mech., * Phys. Fluids, ...

My research interests center on the development and application of computational techniques for problems in fluid mechanics, including aerodynamics of insect flight, flow control, supersonic and hypersonic turbulence, and two-fluid flows. I am also interested in the development of thermal energy and energy harvesting techniques.

The immersed interface method (IIM): [PPT] My current research focues on the development of the immersed interface method (IIM) for fluid-solid interaction and two-fluid flows. This research is supported by the NSF grant DMS #0915237.

Aerodynamics of insect flight: I am collaborating with Professor Jane Wang [LINK] to investigate aerodynamics of insect flight, including flight efficiency, stability, and control.

2008 Betty McKnight Speairs Endowed Teaching Excellence Award in Mathematics, SMU

• MATH 1337 - Calculus I (course webpage [LINK])
• MATH 3315/CSE 3365 - Scientific Computing
• MATH 2343 - Differential Equations
• MATH 3353 - Linear Algebra
• MATH 6315 - Numerical PDEs

SMU Course Blackboard: [LINK]

• Miguel Uh: Ph.D. in Math, SMU; Development of the IIM for two-fluid flows; July 2009 -
• Dale Pearson: Ph.D. in Math, SMU; Development of the multi-domain parallel IIM for fluid-solid interaction; June 2011 -

1. Acmae El Yacoubi, Sheng Xu and Z. Jane Wang, Computational study of the interaction of free moving particles at intermediate Reynolds numbers, J. Fluid Mech., invited, 2011 [PDF]
2. Sheng Xu, An iterative two-fluid pressure solver based on the immersed interface method, Commun. Comput. Phys., accepted, 2011 [PDF]
3. Sheng Xu, A boundary condition capturing immersed interface method for 3D rigid objects in a flow, J. Comput. Phys., accepted, 2011 [PDF]
4. Sheng Xu, A user-friendly formulation of the Newtonian dynamics for the coupled wing-body system in insect flight, IMA Volumn for Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding, accepted, 2011 [PDF] [MATLAB CODE 1], [ MATLAB CODE 2]
5. Sheng Xu, Singular Forces in the Immersed Interface Method for Rigid Objects in 3D, Appl. Math. Lett., 22, pp.827-833, 2009 [PDF]
6. Sheng Xu, Derivation of principal jump conditions for the immersed interface method in two-fluid flow simulation, DCDS, Supplement 2009, pp.838-845, 2009 [PDF]
7. 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]
8. 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]
9. 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]
10. 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]
11. 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]
12. 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]
13. 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]
14. 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
15. 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
16. D. Rempfer, L. Parsons, S. Xu and J. Lumley, Theoretical approaches to the effect of wall compliance on turbulent flow, The Proceedings of IUTAM Symposium on Flow in Collapsible Tubes and Past Other Highly Compliant Boundaries, edited by P. W. Carpenter and T. J. Pedley, 2003
17. 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

1. A boundary condition capturing immersed interface method, Taiwan-NTCS workshop on FSI, National Tsinghua University, Taiwan, May 26-29, 2011
2. The immersed interface method (IIM) for simulating insect flight and two-fluid flows, Math Colloquium, University of Wyoming, April 8, 2010
3. The Immersed Interface Method for Numerical Simulation of Insect Flight, Machines and Organisms Seminar, Cornell University, March 18, 2010
4. The immersed interface method for simulating insect flight, Department of Thermal Science and Energy Engineering, University of Science and Technology of China, China, June 11, 2009
5. An immersed interface method for fluid-solid interaction, Department of Mechanical Engineering, Stanford University, April 18, 2006
6. An immersed interface method for fluid-solid interaction, Department of Mathematics, Southern Methodist University, March 28, 2006
7. An immersed interface method for fluid-solid interaction, Department of Applied Mathematics, University of California at Merced, March 10, 2006
8. An immersed interface method for fluid-solid interaction, Department of Aerospace and Mechanical Engineering, Boston University, Feb. 23, 2006
9. 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
10. An immersed interface method for simulating viscous flows subject to moving deformable boundaries, Department of Mathematics, North Carolina State University, Aug. 16, 2005
11. Turbulence over a compliant surface: numerical simulation and analysis, Department of Mechanical Engineering, Tulane University, Jan. 23, 2003

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