Solution of 2D Euler Equations With the Moving-Grid Rotating-Invariance
Method
- Supei Zheng,
- Dou Jia,
- Xia Xu
Abstract
A new rotating flux method based on moving grid is introduced to solve
the two-dimensional Euler. We employ the adaptive moving grid method,
which is based on the variational principle and uses the second-order
accuracy of conservative-interpolation for physical quantities at the
new grids, for the new grid distribution according to the solution
property. Physically, the new rotating entropy stable numerical flux,
which is obtained by Rotating Invariance and satisfies the second law of
thermodynamics, is utilized as the numerical flux function at the new
irregular quadrilaterial cell. The numerical results provides the
remarkable evidence in stability and high-resolution.