Tianyuan Mathematical Center
in Southwest China

A simple and efficient finite volume WENO method for hyperbolic conservation laws

[Math. Dept.]

November 30, 2018  15:00-16:00

W303  School of Mathematics

SPEAKER

邱建贤（厦门大学）

ABSTRACT

In this presentation, we present a simple high order weighted essentially non- oscillatory (WENO) schemes to solve hyperbolic conservation laws. The main advantages of these schemes presented in the paper are their compactness, robustness and could maintain good convergence property for solving steady state problems. Comparing with the classical WENO schemes by {G.-S. Jiang and C.-W. Shu, J. Comput. Phys., 126 (1996), 202-228}, there are two major advantages of the new WENO schemes. The first, the associated optimal linear weights are independent on topological structure of meshes, can be any positive numbers with only requirement that their summation equals to one, and the second is that the new scheme is more compact and efficient than the scheme by Jiang and Shu. Extensive numerical results are provided to illustrate the good performance of these new WENO schemes.

SUPPORTED BY

School of Mathematics, Sichuan University

LECTURE NOTES

TMCSC181130_Jianxian Qiu_A simple and efficient finite volume WENO method for hyperbolic conservation laws

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