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On a Modification of the Rusanov Solver for the Equations of Special Relativistic Magnetic Hydrodynamics
Journal of Applied and Industrial Mathematics Pub Date : 2020-10-16 , DOI: 10.1134/s1990478920030114 I. M. Kulikov
中文翻译:
关于特殊相对论性磁流体动力学方程的Rusanov解算器的修改
更新日期:2020-10-30
Journal of Applied and Industrial Mathematics Pub Date : 2020-10-16 , DOI: 10.1134/s1990478920030114 I. M. Kulikov
Abstract
We describe the implementation of a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics. The particularity of the relativistic hydrodynamics equations, including a magnetic field, is a natural constraint on the admissible wave propagation velocity, which allows us to construct a fairly simple modification of the Rusanov solver using the maximum wave propagation velocity equal to the speed of light.
中文翻译:
关于特殊相对论性磁流体动力学方程的Rusanov解算器的修改
摘要
我们描述了Rusanov解算器对特殊相对论性磁流体动力学方程的修改的实现。相对论流体力学方程(包括磁场)的特殊性是对允许波传播速度的自然限制,这使我们能够使用等于光速的最大波传播速度来构造Rusanov解算器的相当简单的修改。