Christopher E. Kees
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View article: Poromechanical solution for one-dimensional large strain consolidation of modified cam clay soil
Poromechanical solution for one-dimensional large strain consolidation of modified cam clay soil Open
A theoretical model describing the one-dimensional large strain consolidation of the modified Cam Clay soil is presented in this paper. The model is based on the Lagrangian formulation, and is capable of featuring the variability of soil c…
View article: The Effect of Porous Media on Wave-Induced Sloshing in a Floating Tank
The Effect of Porous Media on Wave-Induced Sloshing in a Floating Tank Open
Placing porous media in a water tank can change the dynamic characteristics of the sloshing fluid. Its extra damping effect can mitigate sloshing and, thereby, protect the integrity of a liquefied natural gas tank. In addition, the out-of-…
View article: Lagrangian vs. Eulerian: An Analysis of Two Solution Methods for Free-Surface Flows and Fluid Solid Interaction Problems
Lagrangian vs. Eulerian: An Analysis of Two Solution Methods for Free-Surface Flows and Fluid Solid Interaction Problems Open
As a step towards addressing a scarcity of references on this topic, we compared the Eulerian and Lagrangian Computational Fluid Dynamics (CFD) approaches for the solution of free-surface and Fluid–Solid Interaction (FSI) problems. The Eul…
View article: Efficient steady-state solution techniques for variably saturated groundwater flow
Efficient steady-state solution techniques for variably saturated groundwater flow Open
We consider the simulation of steady-state variably saturated groundwater flow using Richards' equation (RE). The difficulties associated with solving RE numerically are well known. Most discretization approaches for RE lead to nonlinear s…
View article: An ELLAM approximation for advective–dispersive transport with nonlinear sorption
An ELLAM approximation for advective–dispersive transport with nonlinear sorption Open
We consider an Eulerian-Lagrangian localized adjoint method (ELLAM) applied to nonlinear model equations governing solute transport and sorption in porous media. Solute transport in the aqueous phase is modeled by standard advection and hy…
View article: Assessment of Numerical Methods for Plunging Breaking Wave Predictions
Assessment of Numerical Methods for Plunging Breaking Wave Predictions Open
This study evaluates the capability of Navier–Stokes solvers in predicting forward and backward plunging breaking, including assessment of the effect of grid resolution, turbulence model, and VoF, CLSVoF interface models on predictions. Fo…
View article: Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi Equations with topography
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi Equations with topography Open
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) with full topography effects introduced in Green, A.E. an…
View article: Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography.
Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography. Open
The objective of this note is to propose a relaxation technique that accounts for the topography effects in the dispersive Serre equations (also known as Serre--Green--Naghdi or fully non-linear Boussinesq equations, etc.) introduced in [t…
View article: An unstructured finite element model for incompressible two‐phase flow based on a monolithic conservative level set method
An unstructured finite element model for incompressible two‐phase flow based on a monolithic conservative level set method Open
Summary We present a robust numerical method for solving incompressible, immiscible two‐phase flows. The method extends both a monolithic phase conservative level set method with embedded redistancing and a semi‐implicit high‐order project…
View article: An unstructured finite element model for incompressible two-phase flow\n based on a monolithic conservative level set method
An unstructured finite element model for incompressible two-phase flow\n based on a monolithic conservative level set method Open
We present a robust numerical method for solving incompressible, immiscible\ntwo-phase flows. The method extends the monolithic phase conservative level set\nmethod with embedded redistancing by Quezada de Luna et al. [38] and a\nsemi-impl…
View article: erdc/proteus: Release for hpFEM paper
erdc/proteus: Release for hpFEM paper Open
*This release contains the code and numerical examples in: A partition of unity approach to adaptivity and limiting in continuous finite element methods *To run the code see README in proteus/proteus/tests/BlendedSpaces
View article: Advanced Wave Generation Systems for Numerical Modelling of Coastal Structures
Advanced Wave Generation Systems for Numerical Modelling of Coastal Structures Open
Presented at: Coastal Structures Conference 2019, Hannover, Germany, September 30th – October 2nd, 2019
View article: Preconditioners for Two-Phase Incompressible Navier--Stokes Flow
Preconditioners for Two-Phase Incompressible Navier--Stokes Flow Open
We consider iterative methods for solving the linearised Navier-Stokes\nequations arising from two-phase flow problems and the efficient\npreconditioning of such systems when using mixed finite element methods. Our\ntarget application is s…
View article: Advanced tools for modelling fluid interaction with coastal and marine structures
Advanced tools for modelling fluid interaction with coastal and marine structures Open
Due to the increasing availability of computational resources the Engineering and Research community is gradually moving towards using high fidelity Computational Fluid Dynamics (CFD) models for supporting technical design and specialized …
View article: Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions
Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions Open
The thermodynamically constrained averaging theory (TCAT) is a comprehensive theory used to formulate hierarchies of multiphase, multiscale models that are closed based upon the second law of thermodynamics. The rate of entropy production …
View article: erdc/proteus: 1.4.2
erdc/proteus: 1.4.2 Open
adds some fixes to entropy viscosity scheme for Shallow Water Equations fixes dependency checking on mprans modules
View article: CFD Modelling coupled with Floating Structures and Mooring Dynamics for Offshore Renewable Energy Devices using the Proteus Simulation Toolkit
CFD Modelling coupled with Floating Structures and Mooring Dynamics for Offshore Renewable Energy Devices using the Proteus Simulation Toolkit Open
With many countries showing a growing interest in offshore renewables, the development of floating support structures able to withstand extreme environmental loads is key to winning the race in offshore renewable energy deployment.
\nNumer…
View article: Computing locally-mass-conservative fluxes from multi-dimensional finite element flow simulations
Computing locally-mass-conservative fluxes from multi-dimensional finite element flow simulations Open
Conserving local mass in the finite volume (FV) sense, where the sum of face fluxes equal to the rate of change of storage within each element/cell, is essential in computing water flow and contaminant transport. Although the continuous Ga…
View article: Implementation of discontinuous Galerkin methods for the level set equation on unstructured meshes
Implementation of discontinuous Galerkin methods for the level set equation on unstructured meshes Open
Level set methods are often used to capture interface behavior in two-phase, incompressible flow models. While level set techniques for structured computational grids have been widely investigated, approaches for unstructured meshes are le…
View article: PROJECTION-BASED MODEL REDUCTION FOR FINITE ELEMENT APPROXIMATION OF SHALLOW WATER FLOWS
PROJECTION-BASED MODEL REDUCTION FOR FINITE ELEMENT APPROXIMATION OF SHALLOW WATER FLOWS Open
The shallow water equations (SWE) are used to model a wide range of environmental flows from dam breaks and riverine hydrodynamics to hurricane storm surge and atmospheric processes.Despite significant gains in numerical model efficiency s…