Year: 2019
Communications in Computational Physics, Vol. 26 (2019), Iss. 3 : pp. 719–748
Abstract
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
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2018-0059
Communications in Computational Physics, Vol. 26 (2019), Iss. 3 : pp. 719–748
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Block-structured AMR WENO Euler equations Navier-Stokes equations large scale computation.
-
A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws
Yeganeh, Solmaz Mousavi | Farzi, JavadApplied Mathematics and Computation, Vol. 399 (2021), Iss. P.126013
https://doi.org/10.1016/j.amc.2021.126013 [Citations: 1] -
Robust treatment for the coarse/fine interface of adaptive mesh in the simulation of two-phase flow
Liu, Cheng | Hu, Yiding | Gao, Ruoqing | Hu, ChanghongJournal of Computational Physics, Vol. 520 (2025), Iss. P.113485
https://doi.org/10.1016/j.jcp.2024.113485 [Citations: 0]