A terrain-following grid transform and preconditioner for parallel, large-scale, integrated hydrologic modeling
RM Maxwell - Advances in Water Resources, 2013 - Elsevier
A terrain-following grid formulation (TFG) is presented for simulation of coupled variably-
saturated subsurface and surface water flow. The TFG is introduced into the integrated …
saturated subsurface and surface water flow. The TFG is introduced into the integrated …
An efficient discontinuous Galerkin-mixed finite element model for variable density flow in fractured porous media
Modeling variable density flow (VDF) in fractured porous media is computationally
challenging. The challenges are mainly related to:(i) the high permeability contrast between …
challenging. The challenges are mainly related to:(i) the high permeability contrast between …
A spatially and temporally adaptive solution of Richards' equation
Efficient, robust simulation of groundwater flow in the unsaturated zone remains
computationally expensive, especially for problems characterized by sharp fronts in both …
computationally expensive, especially for problems characterized by sharp fronts in both …
Modeling variable-density flow in saturated-unsaturated porous media: An advanced numerical model
Modeling variable-density flow in unconfined aquifers is a challenging task because of the
nonlinear coupling between variably saturated flow and contaminant transport. This results …
nonlinear coupling between variably saturated flow and contaminant transport. This results …
A robust fully mixed finite element model for flow and transport in unsaturated fractured porous media
A fully mixed finite element (MFE) model is developed for nonlinear flow and transport in
unsaturated fractured porous media with matrix-fracture and fracture-fracture fluid and mass …
unsaturated fractured porous media with matrix-fracture and fracture-fracture fluid and mass …
Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity
In this paper, global sensitivity analysis (GSA) and uncertainty quantification (UQ) have been
applied to the problem of natural convection (NC) in a porous square cavity. This problem is …
applied to the problem of natural convection (NC) in a porous square cavity. This problem is …
Mixed finite element methods and higher order temporal approximations for variably saturated groundwater flow
Richards' equation (RE) is commonly used to model flow in variably saturated porous media.
However, its solution continues to be difficult for many conditions of practical interest. Among …
However, its solution continues to be difficult for many conditions of practical interest. Among …
An easy and efficient combination of the Mixed Finite Element Method and the Method of Lines for the resolution of Richards' Equation
In this work, the Mixed Hybrid Finite Element (MHFE) method is combined with the Method
Of Lines (MOL) for an accurate resolution of the Richard's Equation (RE). The combination of …
Of Lines (MOL) for an accurate resolution of the Richard's Equation (RE). The combination of …
A reference benchmark solution for free convection in a square cavity filled with a heterogeneous porous medium
The Fourier-Galerkin (FG) method is used to produce a highly accurate solution for free
convection in a square cavity filled with heterogeneous porous medium. To this end, the …
convection in a square cavity filled with heterogeneous porous medium. To this end, the …
Solving density driven flow problems with efficient spatial discretizations and higher-order time integration methods
Modelling density driven flow problems requires an excessive computational time and/or
heavy equipments due to the non-linear coupling between flow and transport equations. In …
heavy equipments due to the non-linear coupling between flow and transport equations. In …