293 citations · 1.2k across the 39 of their papers we have counts for
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Design of Provably Physical-Constraint-Preserving Methods for General Relativistic Hydrodynamics
Kailiang Wu
The paper develops high-order physical-constraint-preserving (PCP) methods for general relativistic hydrodynamic (GRHD) equations, equipped with a general equation of state. Here t…
A Newton multigrid method for steady-state shallow water equations with topography and dry areas
Kailiang Wu, Huazhong Tang
The paper develops a Newton multigrid (MG) method for one- and two-dimensional steady-state shallow water equations (SWEs) with topography and dry areas.It solves the nonlinear sys…
Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere
Yangyu Kuang, Kailiang Wu, Huazhong Tang
The paper develops high order accurate Runge-Kutta discontinuous local evolution Galerkin (RKDLEG) methods on the cubed-sphere grid for the shallow water equations (SWEs). Instead…
Physical-constraints-preserving central discontinuous Galerkin methods for special relativistic hydrodynamics with a general equation of state
Kailiang Wu, Huazhong Tang
The ideal gas equation of state (EOS) with a constant adiabatic index is a poor approximation for most relativistic astrophysical flows, although it is commonly used in relativisti…
Admissible state and physical constraints preserving schemes for relativistic magnetohydrodynamic equations
Kailiang Wu, Huazhong Tang
This paper first studies the admissible state set of relativistic magnetohydrodynamics (RMHD). It paves a way for developing physical-constraints-preserving (PCP) sche…
A stochastic Galerkin method for general system of quasilinear hyperbolic conservation laws with uncertainty
Kailiang Wu, Huazhong Tang, Dongbin Xiu
This paper is concerned with generalized polynomial chaos (gPC) approximation for a general system of quasilinear hyperbolic conservation laws with uncertainty. The one-dimensional…
A direct Eulerian GRP scheme for spherically symmetric general relativistic hydrodynamics
Kailiang Wu, Huazhong Tang
The paper proposes a second-order accurate direct Eulerian generalized Riemann problem (GRP) scheme for the spherically symmetric general relativistic hydrodynamical (RHD) equation…