Year: 2022
Author: Gyuha Lim, Yajun Zhu, Kun Xu
Communications in Computational Physics, Vol. 32 (2022), Iss. 4 : pp. 951–979
Abstract
In this paper, we present a high-order unified gas-kinetic scheme (UGKS) using the weighted essentially non-oscillatory with adaptive-order (WENO-AO) method for spatial reconstruction and the two-stage fourth-order scheme for time evolution. Since the UGKS updates both the macroscopic flow variables and microscopic distribution function, and provides an adaptive flux function by combining the equilibrium and non-equilibrium parts, it is possible to take separate treatment of the equilibrium and non-equilibrium calculation in the UGKS for the development of high-order scheme. Considering the fact that high-order techniques are commonly applied in the continuum flow simulation with complex structures, and that the rarefied flow structure is usually smooth in the physical space, we apply the high-order techniques in the equilibrium part of the UGKS for the capturing of macroscopic flow evolution, and retain the calculation of distribution function as a second-order method, so that a balance of computational cost and numerical accuracy could be well achieved. The HUGKS has been validated by several numerical test cases, including sine-wave accuracy test, Sod-shock tube, Couette, oscillating Couette, lid-driven cavity and oscillating cavity flow. It is shown that the current method preserves the multiscale property of the original UGKS and obtains accurate solutions in the near continuum regimes.
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-2022-0113
Communications in Computational Physics, Vol. 32 (2022), Iss. 4 : pp. 951–979
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: High-order reconstruction two-stage fourth-order scheme WENO-AO micro flow.
Author Details
-
Application of Gas-Kinetic Scheme for Continuum and Near-Continuum Flow on Unstructured Mesh
Zhao, Guang
Zhong, Chengwen
Liu, Sha
Wang, Yong
Zhuo, Congshan
International Journal of Computational Fluid Dynamics, Vol. 36 (2022), Iss. 9 P.753
https://doi.org/10.1080/10618562.2023.2189704 [Citations: 3]