2 papers
math.NA2022
A numerical model preserving nontrivial steady-state solutions for predicting waves run-up on coastal areas
H. Karjoun, A. Beljadid
In this study, a numerical model preserving a class of nontrivial steady-state solutions is proposed to predict waves propagation and waves run-up on coastal zones. The numerical m…
math.NA2020
A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport
Hasan Karjoun, Abdelaziz Beljadid, Philippe G. LeFloch
We develop a new finite volume method using unstructured mesh-vertex grids for coupled systems modeling shallow water flows and solute transport over complex bottom topography. Nov…