Applied Mathematics Seminar

Date/Time/Room: Friday (10/12/2001) at 2:00 pm in 487 Pickard Hall

Speaker: Li Jiang, Department of Mathematics, University of Texas at Arlington

``Weighted Compact Scheme for Shock Capturing''

Abstract: In this talk a new class of finite difference schemes - the weighted compact schemes will be introduced. According to the idea of the WENO schemes, the Weighted Compact Scheme is constructed by a combination of the approximations of derivatives on candidate stencils with properly assigned weights so that the non-oscillatory property is achieved when discontinuities appear. The primitive function reconstruction method of END schemes is applied to obtain the conservative form of the Weighted Compact Scheme. This new scheme not only preserves the characteristics of standard compact schemes and achieve high order accuracy and high resolution using a compact stencil, but also can accurately capture shock waves and discontinuities without oscillations. Numerical examples will be given.