Efficient and Robust Numerical Modeling of Variably Saturated Flow in Layered Porous Media

Abstract

We extend our recent work on higher-order time integration of Richards equation to layered heterogeneous porous media, using a differential-algebraic-equation-based method of lines (DAE/MOL) approach. We show that the DAE/MOL approach is robust and efficient compared to standard low-order time integration methods for heterogeneous media. We also show the advantage of using an integral representation of permeability compared to a standard arithmetic mean for the test problems considered herein.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA453442

Entities

People

  • C. T. Miller
  • G. A. Williams

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Ecology
  • Environmental Health
  • Equations
  • Information Operations
  • Military Research
  • North Carolina
  • Standards

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)