| A robust common-weights WENO scheme based on the flux vector splitting for Euler equations | |
Shen YQ(申义庆) ; Li SY(李诗尧); Liu, Shengping; Cui K(崔凯); Zheng GN(郑冠男)
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| Corresponding Author | Shen, Yiqing(yqshen@imech.ac.cn) ; Zheng, Guannan(zhengguannan@imech.ac.cn) |
| Source Publication | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
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| 2023-05-01 | |
| Volume | 119Pages:16 |
| ISSN | 1007-5704 |
| Abstract | This paper proposes a common-weights weighted essentially non-oscillatory (Co-WENO) scheme for solving the Euler equations of gas dynamics. Different from the usual component-wise weighting methods, common-weights means that, on one global sten-cil, a set of weights is commonly shared by the split flux vector of Euler equations in one spatial dimension. The common-weights WENO scheme has two significant advantages. First, since only one set of weights is calculated and used for the split flux vector, the method has an improved computational efficiency. Second, for a stencil (or each cell on the stencil), the Co-WENO scheme keeps the same contribution on each component numerical flux in a hyperbolic system of equations. How to calculate the weights is one of the vital issues in developing this kind of Co-WENO schemes.In this paper, based on the flux vector split method, the product of density, pressure, and the split flux of energy equation(Gamma +/- = rho pfE +/-) is proposed to calculate the common weights. This is based on the following considerations: (1) the density jumps at shocks and contact discontinuities; (2) the split energy flux contains the term of the third power of the velocity (for example, u3) and makes the resulting scheme has upwind characteristic; (3) the pressure always jumps at shocks, and it can help improve the stability in high speed flows, in which the kinetic energy is much larger than the internal energy. Numerical experiments also show that the proposed common-weights WENO scheme has good robustness and low numerical dissipation, and it can help suppress phase errors.(c) 2023 Elsevier B.V. All rights reserved. |
| Keyword | Weighted essentially non-oscillatory scheme Common-weights Computational efficiency Euler equations |
| DOI | 10.1016/j.cnsns.2023.107112 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000920910500001 |
| WOS Keyword | ESSENTIALLY NONOSCILLATORY SCHEMES ; HIGH-ORDER WENO ; EFFICIENT IMPLEMENTATION |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical |
| Funding Project | NSFC, China[11872067] ; NSFC, China[91852203] ; NSFC, China[11902326] ; NSFC, China[12172364] |
| Funding Organization | NSFC, China |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Shen, Yiqing ; Zheng, Guannan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/91508 |
| Collection | 流固耦合系统力学重点实验室 |
| Recommended Citation GB/T 7714 | Shen YQ,Li SY,Liu, Shengping,et al. A robust common-weights WENO scheme based on the flux vector splitting for Euler equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2023,119:16. |
| APA | 申义庆,李诗尧,Liu, Shengping,崔凯,&郑冠男.(2023).A robust common-weights WENO scheme based on the flux vector splitting for Euler equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,119,16. |
| MLA | 申义庆,et al."A robust common-weights WENO scheme based on the flux vector splitting for Euler equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 119(2023):16. |
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| Jp2023Fa060.pdf（1430KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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