國立清華大學 數學系

Abstract: In this talk, we construct third-order central weighted essentially nonoscillatory (WENO) schemes based on a finite volume formulation, staggered mesh, and continuous extension of Runge–Kutta methods for solving nonlinear hyperbolic conservation law. There is no third-order CWENO in literature since linear weights do not exit at the central point of the uniform grid. We develop the shifted WENO reconstruction so that the linear weights exist on the shifted grid. We also apply this scheme to Euler equations. Numerical experiments show the usefulness of the new scheme. Tea Time: 3:30PM R707