Continuum Mechanical Approach to the Determination of Effective Porous Media PropertiesEPA Grant Number: U914990
Title: Continuum Mechanical Approach to the Determination of Effective Porous Media Properties
Investigators: Tansey, Michael K.
Institution: University of California - Davis
EPA Project Officer: Manty, Dale
Project Period: January 1, 1996 through January 1, 1999
Project Amount: $102,000
RFA: STAR Graduate Fellowships (1996) RFA Text | Recipients Lists
Research Category: Academic Fellowships , Ecological Indicators/Assessment/Restoration , Fellowship - Earth Sciences
The main objective of this research project is to develop effective porous media properties based on the principles of continuum mechanics. This is being accomplished by the application of the method of volume averaging, in conjunction with the use of the Chimera technique for numerical simulation of three-dimensional flow and transport at the pore scale.
The closure problem requires solution of the governing differential equation for the deviations of the dependent variable with respect to its volume average in a representative region containing all the geometrical features and hydrodynamic factors affecting its spatial distribution. The Chimera technique is a numerical method that is especially well suited for the solution of partial differential equations in porous media, because it permits detailed resolution of three-dimensional surfaces through the use of multiple overset meshes. Used in conjunction with hyperbolic grid generation and adaptive mesh refinement, the Chimera technique provides a means for solution of the Navier-Stokes and convection-diffusion equations with no -slip boundary conditions for velocity, and geometric boundary conditions for closure variable mapping vectors at material surfaces.