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.

翻译：同位素旋涡问题经常被解决,以检验数字方法的准确性并核实相应的代码,但不幸的是,其现有解决办法是从相对论磁流体动力学中得出,方法是用数字方法解决一个普通的差分方程,本说明为2D同位素旋涡问题提供了一个分析解决办法,在特别相对论流体动力学和磁流体动力学中,以明确的代数表达法,将它延伸到3D体。