کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519270 | 867652 | 2011 | 24 صفحه PDF | دانلود رایگان |

The paper proposes a direct Eulerian generalized Riemann problem (GRP) scheme for one-dimensional relativistic hydrodynamics. It is an extension of the Eulerian GRP scheme for compressible non-relativistic hydrodynamics proposed in [M. Ben-Artzi, J.Q. Li, G. Warnecke, A direct Eulerian GRP scheme for compressible fluid flows, J. Comput. Phys. 218 (2006) 19–43]. Two main ingredients, the Riemann invariant and the Rankine–Hugoniot jump condition, are directly used to resolve the local GRP in the Eulerian formulation, and thus the crucial and delicate Lagrangian treatment in the original GRP scheme [3] can be avoided. Several numerical examples are given to demonstrate the accuracy and effectiveness of the proposed GRP scheme.
► We develop a direct Eulerian GRP scheme for 1D relativistic hydrodynamics.
► The local GRP is directly resolved and does not require the delicate Lagrangian treatment.
► The effectiveness of the GRP scheme has been demonstrated by numerical examples.
Journal: Journal of Computational Physics - Volume 230, Issue 22, 10 September 2011, Pages 7964–7987