Numerical scheme for solving a porous Saint-Venant type model for water flow on vegetated hillslopes

S Ion, D Marinescu, SG Cruceanu - Applied Numerical Mathematics, 2022 - Elsevier
Hillslope hydrology is a very important part of research based on watershed hydrology. In
this study, we focus on water flow over a soil surface with vegetation in a hydrographic …

Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations

J Jung, JH Hwang - Journal of Computational Physics, 2023 - Elsevier
The present study constructed a path-conservative high-order positivity-preserving well-
balanced finite volume Riemann solver for the one-dimensional porous shallow water …

[HTML][HTML] 多孔浅水方程的高阶平衡保正有限差分AWENO 格式

刘仁迪, 钱守国, 李刚 - Advances in Applied Mathematics, 2024 - hanspub.org
本文提出了求解具有不连续孔隙度和底部地形的一维多孔浅水方程的高阶平衡保正有限差分
AWENO 格式, 所提出的格式保持了静水稳态的良好平衡特性. 在这个数值框架中 …

[PDF][PDF] Constructive Approach of the Solution of Riemann Problem for Shallow Water Equations with Topography and Vegetation

S Ion, SG Cruceanu, D Marinescu - Analele ştiinţifice ale Universităţii" …, 2020 - sciendo.com
Abstract We investigate the Riemann Problem for a shallow water model with porosity and
terrain data. Based on recent results on the local existence, we build the solution in the large …

[PDF][PDF] FLUID FLOW ON VEGETATED HILLSLOPE: A MATHEMATICAL MODEL

S Ion, D Marinescu, S Gicu-Cruceanu - ROMAI Journal, 2023 - rj.romai.ro
In this paper, we present a deduction of swallow water equations in the presence of
vegetation based on spatial averaging techniques starting from the general principles of …

A shallow water model for water flow on vegetated hillslope

S Ion, D Marinescu, SG Cruceanu - arXiv preprint arXiv:1908.00339, 2019 - arxiv.org
The hillslope hydrological processes are very important in watershed hydrology research. In
this paper we focus on the water flow over the soil surface with vegetation in a hydrographic …