The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by
novel theories in mathematical physics, advances in computational methods, insights from …

This book is a revised edition of my earlier book of the same title. The cur rent edition adopts
the structure of the earlier version but is much changed. The introduction now contains …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

In this paper we present some results about the coupling of Navier–Stokes and Shallow
Water equations for surface flows and Darcy's equation for groundwater flows. We discuss …

This paper is an overview of known and new results about the coupling of Navier-Stokes
and Darcy equations to model the filtration of incompressible fluids through porous media …

We study numerical methods for solving a non-stationary mixed Stokes-Darcy problem that
models coupled fluid flow and porous media flow. A decoupling approach based on …

The purpose of this thesis is to investigate, from both the mathematical and numerical
viewpoint, the coupling of surface and porous media flows, with particular concern on …

The most effective simulations of the multiphysics coupling of groundwater to surface water
must involve employing the best groundwater codes and the best surface water codes …

This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a
porous medium saturated with the same fluid. A three-layer configuration is adopted …