18 citations · 19 across the 5 of their papers we have counts for
4 papers · 1 filter
Bound-Preserving Flux-Corrected Transport Methods for Solving Richards' Equation
Arnob Barua, Christopher E. Kees, Dmitri Kuzmin
Simulating infiltration in porous media using Richards' equation remains computationally challenging due to its parabolic structure and nonlinear coefficients. While a wide range o…
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi Equations with topography
Jean-Luc Guermond, Chris Kees, Bojan Popov +1
The objective of this paper is to propose a hyperbolic relaxation technique for the dispersive Serre-Green-Naghdi equations (also known as the fully non-linear Boussinesq equations…
An unstructured finite element model for incompressible two-phase flow based on a monolithic conservative level set method
Manuel Quezada de Luna, J. Haydel Collins, Christopher E. Kees
We present a robust numerical method for solving incompressible, immiscible two-phase flows. The method extends the monolithic phase conservative level set method with embedded red…
Preconditioners for Two-Phase Incompressible Navier-Stokes Flow
Niall Bootland, Alistair Bentley, Christopher Kees +1
We consider iterative methods for solving the linearised Navier-Stokes equations arising from two-phase flow problems and the efficient preconditioning of such systems when using m…