The paper develops high-order accurate physical-constraints-preserving finite difference
WENO schemes for special relativistic hydrodynamical (RHD) equations, built on the local …

This paper presents a highly robust third-order accurate finite volume weighted essentially
non-oscillatory (WENO) method for special relativistic hydrodynamics on unstructured …

This work presents a novel bound-preserving and positivity-preserving direct arbitrary
Lagrangian–Eulerian discontinuous Galerkin (ALE-DG) method for compressible …

We consider the numerical approximation of the Shallow Water Equations (SWEs) in
spherical geometry for oceanographic applications. To provide enhanced resolution of …

This paper extends the adaptive moving mesh method developed by Tang and Tang [36] to
two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of …

A fifth order finite difference alternative weighted essentially non-oscillatory scheme is
studied for a five-equation model, which plays an important role in the modelling of …

We investigate the potential of the so-called “relocation” mesh adaptation in terms of
resolution and efficiency for the simulation of free surface flows in the near shore region. Our …

This article presents entropy stable discontinuous Galerkin numerical schemes for equations
of special relativistic hydrodynamics with the ideal equation of state. The numerical schemes …

A new geometrical conservative interpolation on unstructured meshes is developed for
preserving still water equilibrium and positivity of water depth at each iteration of mesh …

In this paper, a direct arbitrary Lagrangian-Eulerian (ALE) discontinuous Galerkin (DG)
scheme is proposed for simulating compressible multi-material flows on the adaptive …