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math.NA2023
High-order Compact Gas-kinetic Scheme for Two-layer Shallow Water Equations on Unstructured Mesh
Fengxiang Zhao, Jianping Gan, Kun Xu
For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source t…
math.NA2023
Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes I: steady flows
Yaqing Yang, Liang Pan, Kun Xu
In the previous studies, the high-order gas-kinetic schemes (HGKS) have achieved successes for unsteady flows on three-dimensional unstructured meshes. In this paper, to accelerate…