15 citations · 24 across the 3 of their papers we have counts for
3 papers
math.NA2024
High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity
Zhihao Zhang, Huazhong Tang, Kailiang Wu
This paper develops high-order accurate, well-balanced (WB), and positivity-preserving (PP) finite volume schemes for shallow water equations on adaptive moving structured meshes.…
math.NA2023★ 9 cited
High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
Zhihao Zhang, Huazhong Tang, Junming Duan
This paper develops high-order well-balanced (WB) energy stable (ES) finite difference schemes for multi-layer (the number of layers ) shallow water equations (SWEs)…
math.NA2023★ 15 cited
High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography
Zhihao Zhang, Junming Duan, Huazhong Tang
This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive moving mesh finite difference schemes for the shallow water equations (SWEs) with non-flat bo…