| Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics | |
| Wu, Kailiang ; Tang, Huazhong | |
| 2014 | |
| 关键词 | Finite volume local evolution Galerkin method Evolution operator Genuinely multi-dimensional method Relativistic hydrodynamics HYPERBOLIC CONSERVATION-LAWS PIECEWISE PARABOLIC METHOD EULERIAN GRP SCHEME GAS-DYNAMICS RIEMANN SOLVER NUMERICAL SOLUTION SYSTEMS EQUATIONS CONVECTION FLOWS |
| 英文摘要 | The paper proposes a second-order accurate finite volume local evolution Galerkin (FVLEG) method for two-dimensional special relativistic hydrodynamical (RHD) equations. Instead of using the dimensional splitting method or solving one-dimensional local Riemann problem in the direction normal to cell interface, the FVLEG method couples a finite volume formulation with the (genuinely) multi-dimensional approximate local evolution operator, which is derived by evolving the solutions of corresponding locally linearized RHD equations along all bicharacteristic directions. Several numerical examples are given to demonstrate the accuracy and the performance of the proposed FVLEG method. (C) 2013 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000326596600017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 9; ARTICLE; wukl@pku.edu.cn; hztang@math.pku.edu.cn; 277-307; 256 |
| 语种 | 英语 |
| 出处 | SCI |
| 出版者 | 计算物理学杂志 |
| 内容类型 | 其他 |
| 源URL | [http://hdl.handle.net/20.500.11897/218964]  |
| 专题 | 数学科学学院 工学院 |
| 推荐引用方式 GB/T 7714 | Wu, Kailiang,Tang, Huazhong. Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics. 2014-01-01. |
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