activity
20192022
most citedA high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography

31 citations · 105 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2022★ 12 cited

Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations

Zhuang Zhao, Min Zhang

In this paper, we propose a well-balanced fifth-order finite difference Hermite WENO (HWENO) scheme for the shallow water equations with non-flat bottom topography in pre-balanced…

math.NA2022★ 19 cited

A fifth-order finite difference HWENO scheme combined with limiter for hyperbolic conservation laws

Min Zhang, Zhuang Zhao

In this paper, a simple fifth-order finite difference Hermite WENO (HWENO) scheme combined with limiter is proposed for one- and two- dimensional hyperbolic conservation laws. The…

math.NA2020★ 26 cited

A well-balanced positivity-preserving quasi-Lagrange moving mesh DG method for the shallow water equations

Min Zhang, Weizhang Huang, Jianxian Qiu

A high-order, well-balanced, positivity-preserving quasi-Lagrange moving mesh DG method is presented for the shallow water equations with non-flat bottom topography. The well-balan…

math.NA2020★ 31 cited

A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography

Min Zhang, Weizhang Huang, Jianxian Qiu

A rezoning-type adaptive moving mesh discontinuous Galerkin method is proposed for the numerical solution of the shallow water equations with non-flat bottom topography. The well-b…

math.NA2019★ 17 cited

High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer

Min Zhang, Weizhang Huang, Jianxian Qiu

Solution interpolation between deforming meshes is an important component for several applications in scientific computing, including indirect arbitrary-Lagrangian-Eulerian and rez…