| The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws | |
| Sun, Yutao ; Ren, Yu-Xin | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | Multi-dimensional upwind scheme Finite volume scheme Euler equations The finite volume local evolution Galerkin method DIFFERENCE-SCHEMES EULER EQUATIONS GAS-DYNAMICS SYSTEMS Computer Science, Interdisciplinary Applications Physics, Mathematical |
| 中文摘要 | This paper presents a finite volume local evolution Galerkin (FVLEG) scheme for solving the hyperbolic conservation laws. The FVLEG scheme is the simplification of the finite volume evolution Galerkin method (FVEG). In FVEG, a necessary step is to compute the dependent variables at cell interfaces at t(n) + tau (0 < tau <= Delta t). The FVLEG scheme is constructed by taking tau -> 0 in the evolution operators of FVEG. The FVLEG scheme greatly simplifies the evaluation of the numerical fluxes. It is also well suited with the semi-discrete finite volume method, making the flux evaluation being decoupled with the reconstruction procedure while maintaining the genuine multi-dimensional nature of the FVEG methods. The derivation of the FVLEG scheme is presented in detail. The performance of the proposed scheme is studied by solving several test cases. It is shown that FVLEG scheme can obtain very satisfactory numerical results in terms of accuracy and resolution. (c) 2009 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/79051]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Sun, Yutao,Ren, Yu-Xin. The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws[J],2010, 2010. |
| APA | Sun, Yutao,&Ren, Yu-Xin.(2010).The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws.. |
| MLA | Sun, Yutao,et al."The finite volume local evolution Galerkin method for solving the hyperbolic conservation laws".(2010). |
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