Prof. Wai Sun Don, PhD

曾維新教授

 

Visiting Professor (Research)

 

Division of Applied Mathematics

Brown University

Scientific Computing Group

Box F, 182 George Street

Providence, Rhode Island 02912, USA

 

Office  : Room 18, 180 George Street           

Tel       : 401-863-2250

Fax      : 401-863-1355

Email   :>: wsdon at dam.brown.edu

 

Google Earth Coordination

 

Permanent

:

(41 49’32.81 N       71 23’54.19 W)

Current

:

(41 49’32.81 N       71 23’54.19 W)

Last

:

(22 55’10.80 S       43 10’44.04 W)

(22 25’50.28 N     114 05’14.21 E)

 

 

 

 

 

 

Research Interests

 

*      Numerical analysis.

*      Computational fluid dynamics and shocked flow.

*      Numerical solution for partial differential equations.

*      High performance scientific computing.

 

*      High order shock capturing schemes for the discontinuous solution of nonlinear hyperbolic conservation laws:

*      Spectral methods; and

*      High order conservative finite difference WENO-Z scheme.

*      Hybridization of the spectral methods, high order WENO methods and high order central difference schemes along with the high order Multi-resolution algorithm under a single- and multi- domain framework.

               This is a joint work with Prof. David Gottlieb (Brown University) and Prof. Bruno Costa (UFRJ).

 

*      Supersonic combustion for recessed cavity in a scramjet engine.

               This is a joint work with Prof. Jae-Hun Jung (U. Mass at Dartmouth).

*      Shock-Particle-Laden-Flow.

        This is a joint work with Prof. Gustaaf Jacobs (San Diego State University).

         Preliminary simulations: Mach 3 shock with 40K bronze particle clouds: Vorticity and Density.
                                                 A snap shot of density, vorticity and particle trajectory can be viewed here.

*      Large scale numerical simulations of single-mode/multi-modes multi-dimensional Richtmyer-Meskov Instability (RMI) and Rayleigh-Taylor Instability (RTI) via spectral methods and/or high order conservative WENO finite difference schemes.

          This is a joint work with Prof. David Gottlieb (Brown University) and Dr. Oleg Schilling (LLNL).

 

*      Software development of the PseudoPack library which

*      Perform optimized and efficient pseudospectral differentiation for the

Fourier, Chebyshev and Legendre collocation methods along with other algorithmic enchancements;

*      High Order WENO Flux Reconstruction with enhancement are available for the Scalar and Euler system;

*      Parallelization based on the MPI and the OpenMP is enabled; and

*      Many other useful utility routines.

          

              This is a joint work with Dr. Alex Solomonoff and Prof. Bruno Costa.

 

 

Last revised: Saturday, May 17, 2008