A Rotated Mixed Scheme for Solving 2D Shallow Water Equations

ZHENG Supei; LI Xiao; ZHAO Qingyu; FENG Jianhu

doi:10.21656/1000-0887.420063

Volume 43 Issue 2

Feb. 2022

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ZHENG Supei, LI Xiao, ZHAO Qingyu, FENG Jianhu. A Rotated Mixed Scheme for Solving 2D Shallow Water Equations[J]. Applied Mathematics and Mechanics, 2022, 43(2): 176-186. doi: 10.21656/1000-0887.420063

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A Rotated Mixed Scheme for Solving 2D Shallow Water Equations

doi: 10.21656/1000-0887.420063

School of Sciences, Chang’an University, Xi’an 710064, P.R.China

Received Date: 2021-03-08
Rev Recd Date: 2021-09-27

Available Online: 2022-01-07

Publish Date: 2022-02-01

Abstract

Abstract

A rotated flux mixed scheme was proposed for solving 2D shallow water equations. Spatially, the algorithm uses the rotation invariance of the shallow water equations. In the normal direction and tangent direction of the element interface, both the HLL, which can eliminate the carbuncle, and the entropy stable weighted hybrid numerical flux function satisfying the 2nd law of thermodynamics, were applied to give fine numerical results. Temporally, the 3rd-order strongly stable Runge-Kutta method was used. The numerical results show that, the new scheme has high resolution for solving 2D shallow water equations.
- rotation invariance,
- entropy stable scheme,
- HLL scheme,
- finite-volume method,
- Runge-Kutta method

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References(24)

References

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