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arXiv 2107.01966physics.plasm-phcs.NAmath.NA
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狭义相对论磁流体力学中等熵涡旋问题的解析解

An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

Junming Duan, Huazhong Tang

摘要:

等熵涡问题是检验数值方法精度和验证相应程序的常用方法。不幸的是,它的现有的解决方案是通过数值求解一个常微分方程的相对论磁流体力学。本文给出了二维等熵涡问题在特殊相对论流体力学和磁流体力学中的显式代数表达式的解析解,并将其推广到三维情况。

英文摘要:

The isentropic vortex problem is frequently solved to test the accuracy of numerical methods and verify corresponding code. Unfortunately, its existing solution was derived in the relativistic magnetohydrodynamics by numerically solving an ordinary differential equation. This note provides an analytical solution of the 2D isentropic vortex problem with explicit algebraic expressions in the special relativistic hydrodynamics and magnetohydrodynamics and extends it to the 3D case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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