… Modeling of unsteady shallow water flow on porous media has many engineering applications,
including the investigation of overland flow, infiltration, surface irrigation, and seepage …

… In this study, we have presented a class of finite volume methods for solving shallow water
flows in porous media on unstructured triangular grids. The method consists of two stages …

Simulation of the water movement in a hydrologic basin by use of mathematical models is
important in solving many environmental and agricultural engineering problems. At present, …

… Since we intend to investigate the modelling of water flow in a possibly unsaturated porous
medium close to the surface whose pores contain air beside water, it stands to reason to …

… of flow past a porous medium, it isnecessary to give a description of the porous medium.
In … Conventionally, a shallow-water wave is onewith a parameter of ω 2 h/g 1, and a deep-…

… case of a heterogeneous porous medium, and areal porosity can also vary … porous medium,
then the pore space represents the gaps between the solid features, the volumetric porosity …

… the porous medium on a scale of porous size, water becomes discontinuous. On the other
hand, when we observe a shallow … , the water becomes approximately continuous. That means …

… flow in porous media with some degree of accuracy, the entire flow system must be considered,
whether it includes the flow … range of pore sizes as indicated by the extremely low value …

… That is, differential flow equations are derived by shrinking a control volume to a … porous
medium could correspond to either a pore or the solid matrix and at this scale the assumed flow …

… in groundwater flow modeling—see the low-velocity non-Darcy flow model in … in flows
through unsaturated porous media (vadose zone); and even the relationship between soil water …