An adaptive high order WENO solver for conservation laws

Cheng Liu, Changhong Hu

研究成果: ジャーナルへの寄稿学術誌査読

7 被引用数 (Scopus)

抄録

This paper presents an implementation of the adaptive hybrid WENO (weighted essentially non-oscillatory) scheme based on our previous investigations for compressible multi-medium flows (Liu and Hu, J. Comput. Phys., 342 (2017), 43-65). In this study a simple and efficient method is developed for Euler equations and Navier-Stokes equations arising from the conservation laws. A class of high order weighted essentially non-oscillatory (WENO) schemes are applied to resolve the complicated flow structures and shock waves. Classical WENO schemes are computationally expensive in calculating the non-linear weight and smoothness indicators. We propose a block-structured adaptive mesh method together with a modified hybrid-WENO scheme to reduce the cost, the reconstruction is only performed at non-smooth region. Comparisons of WENO scheme with various smoothness indicators and different Lax-Friedrich flux vector splitting methods are performed on block structured adaptive mesh. Benchmark tests show present adaptive hybrid WENO method is low-dissipative and highly robust. The 2-D/3-D shock wave boundary layer interaction are simulated to verify the efficiency of present AMR (adaptive mesh refinement) solver in predicting turbulent flow.

本文言語英語
ページ(範囲)719-748
ページ数30
ジャーナルCommunications in Computational Physics
26
3
DOI
出版ステータス出版済み - 9月 2019

!!!All Science Journal Classification (ASJC) codes

  • 物理学および天文学(その他)

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