轴对称可压缩流的统一坐标系

Unified Coordinate System for Axisymmetric Compressible Flow

将Hui等人提出的统一坐标系推广到轴对称欧拉方程,讨论统一坐标系下的轴对称欧拉方程的解法,并通过数值算例证明轴对称统一坐标系的优越性.

We extend the unified coordinate system proposed by Hui et al.to axisymmetric Euler equations.The form and hyperbolicity of axisymmetric Euler equations are discussed.Solution of 1-D Riemann problem solved by axisymmetric Euler equations after dimensional splitting is shown.Axisymmetric Euler equations are numerically solved using Godunov scheme with MUSCL update.Numerical results show advantages of unified coordinates.