28 citations · 29 across the 4 of their papers we have counts for
4 papers
Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In our previous work [29], we proposed a class of high-order asymptotic preserving (AP) finite difference weighted essentially non-oscillatory (WENO) schemes for solving the shallo…
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms
Guanlan Huang, Sebastiano Boscarino, Tao Xiong
In this study, we investigate the Shallow Water Equations incorporating source terms accounting for Manning friction and a non-flat bottom topology. Our primary focus is on develop…
High order asymptotic preserving well-balanced finite difference WENO schemes for all Mach full Euler equations with gravity
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, we propose a high order semi-implicit well-balanced finite difference scheme for all Mach Euler equations with a gravitational source term. To obtain the asymptotic…
High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers
Guanlan Huang, Yulong Xing, Tao Xiong
In this paper, high order semi-implicit well-balanced and asymptotic preserving finite difference WENO schemes are proposed for the shallow water equations with a non-flat bottom t…