3 papers
physics.comp-ph2026
A well-balanced weakly compressible SPH formulation for free-surface flows and its GPU implementation
Jiawang Zhang, Fengxiang Zhao, Jianping Gan +1
This study proposes a well-balanced formulation of weakly compressible smoothed particle hydrodynamics (WCSPH) for free-surface flows, which preserves hydrostatic equilibrium exact…
math.NA2025
A Well-Balanced Space-Time ALE Compact Gas-Kinetic Scheme for the Shallow Water Equations on Unstructured Meshes
Fengxiang Zhao, Jianping Gan, Kun XU
This study presents a high-order, space-time coupled arbitrary Lagrangian Eulerian (ALE) compact gas-kinetic scheme (GKS) for the shallow water equations on moving unstructured mes…
math.NA2025
A well-balanced gas-kinetic scheme with adaptive mesh refinement for shallow water equations
Gaocheng Liu, Fengxiang Zhao, Jianping Gan +1
This paper presents the development of a well-balanced gas-kinetic scheme (GKS) with space-time adaptive mesh refinement (STAMR) for the shallow water equations (SWE). While well-b…