2 papers
math.NA2026
A well-balanced positivity-preserving discontinuous Galerkin method for shallow water models with variable density
Jun She, Haiyun Dong, Maojun Li +1
In this paper, we present a numerical scheme designed for coupled systems of variable-topography shallow water flow and solute transport. By integrating a variable-density system w…
math.NA2026
Mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density
Fan Yang, Haiyun Dong, Maojun Li +1
In this paper, we consider a mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density. Utilizing the squa…