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首页> 外文期刊>Journal of Computational Physics >The space-time CESE method for solving special relativistic hydrodynamic equations
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The space-time CESE method for solving special relativistic hydrodynamic equations

机译：求解相对论流体力学方程的时空CESE方法

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摘要

The special relativistic hydrodynamic equations are more complicated than the classical ones due to the nonlinear and implicit relations that exist between conservative and primitive variables. In this article, a space-time conservation element and solution element (CESE) method is proposed for solving these equations in one and two space dimensions. The CESE method has capability to capture sharp propagating wavefront of the relativistic fluids without excessive numerical diffusion or spurious oscillations. In contrast to the existing upwind finite volume schemes, the Riemann solver and reconstruction procedure are not the building blocks of the suggested method. The method differs from previous techniques because of global and local flux conservation in a space-time domain without resorting to interpolation or extrapolation. The scheme is efficient, robust, and gives results comparable to those obtained with more sophisticated algorithms, even in highly relativistic two-dimensional test problems.
机译：由于保守变量和原始变量之间存在非线性和隐式关系，因此相对论的特殊流体力学方程比经典方程更为复杂。本文提出了一种时空守恒元素和解元素（CESE）方法来求解一维和二维空间中的这些方程。 CESE方法具有捕获相对论流体的急剧传播波阵面的能力，而不会出现过多的数值扩散或杂散振荡。与现有的迎风有限体积方案相比，Riemann求解器和重构过程不是建议方法的基础。该方法与以前的技术不同，因为在时空范围内全局和局部通量守恒而不求助于内插或外推。该方案高效，稳健，即使在高度相对论的二维测试问题中，其结果也可以与使用更复杂的算法获得的结果相媲美。

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