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Solution of 2D Euler Equations With the Moving-Grid Rotating-Invariance Method
  • Supei Zheng,
  • Dou Jia,
  • Xia Xu
Supei Zheng
Chang'an University
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Dou Jia
Chang'an University
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Xia Xu
Chang'an University
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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.

Peer review status:IN REVISION

16 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
03 Apr 2020Assigned to Editor
03 Apr 2020Submission Checks Completed
12 Apr 2020Reviewer(s) Assigned
03 Jul 2020Review(s) Completed, Editorial Evaluation Pending
04 Jul 2020Editorial Decision: Revise Major