Hybrid WENO Schemes with Lax-Wendroff Type Time Discretization

Hybrid WENO Schemes with Lax-Wendroff Type Time Discretization

Year:    2017

Author:    Buyue Huang, Jianxian Qiu

Journal of Mathematical Study, Vol. 50 (2017), Iss. 3 : pp. 242–267

Abstract

In this paper, we investigate the performance of a class of the hybrid weighted essentially non-oscillatory (WENO) schemes with Lax-Wendroff time discretization procedure using different indicators for hyperbolic conservation laws. The main idea of the scheme is to use some efficient and reliable indicators to identify discontinuity of solution, then reconstruct numerical flux by WENO approximation in discontinuous regions and up-wind linear approximation in smooth regions, hence reducing computational cost but still maintaining non-oscillatory properties for problems with strong shocks. Numerical results show that the efficiency and robustness of the hybrid WENO-LW schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v50n3.17.03

Journal of Mathematical Study, Vol. 50 (2017), Iss. 3 : pp. 242–267

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords:    Time discretization methods WENO approximation troubled-cell indicator Hyperbolic conservation laws Hybrid schemes.

Author Details

Buyue Huang

Jianxian Qiu

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