Thermodynamically Constrained Averaging Theory: Principles, Model Hierarchies, and Deviation Kinetic Energy Extensions

A Pedagogical Approach to the Thermodynamically Constrained Averaging Theory

(2017) Cass T. Miller et al.   TRANSPORT IN POROUS MEDIA

Modeling two-fluid-phase flow and species transport in porous media

(2015) I.V. Rybak et al.   JOURNAL OF HYDROLOGY

On the dynamics and kinematics of two-fluid-phase flow in porous media

(2015) W. G. Gray et al.   WATER RESOURCES RESEARCH

On Conservation Equation Combinations and Closure Relations

(2014) William Gray et al.   Entropy

A generalization of averaging theorems for porous medium analysis

(2013) William G. Gray et al.   ADVANCES IN WATER RESOURCES

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 9. Transition region models

(2012) A.S. Jackson et al.   ADVANCES IN WATER RESOURCES

Averaging theory for description of environmental problems: What have we learned?

(2011) William G. Gray et al.   ADVANCES IN WATER RESOURCES

Mechanics and thermodynamics of diffusion

(2011) Stephen Whitaker   CHEMICAL ENGINEERING SCIENCE

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 8. Interface and common curve dynamics

(2010) William G. Gray et al.   ADVANCES IN WATER RESOURCES

Entropy viscosity method for nonlinear conservation laws

(2010) Jean-Luc Guermond et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 5. Single-fluid-phase transport

(2008) William G. Gray et al.   ADVANCES IN WATER RESOURCES

Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 6. Two-fluid-phase flow

(2008) Amber S. Jackson et al.   ADVANCES IN WATER RESOURCES

Entropy-based nonlinear viscosity for Fourier approximations of conservation laws

(2008) Jean-Luc Guermond et al.   COMPTES RENDUS MATHEMATIQUE