Efficient Time-Stepping Methods for Miscible Displacement Problems with Nonlinear Boundary Conditions.

Abstract

Efficient procedures for time-stepping Galerkin methods are considered for approximating the solution of a coupled nonlinear system with nonlinear Neumann boundary conditions. Possible model systems are shown for describing the miscible displacement of one incompressible fluid by another in a porous medium when flow conditions are prescribed on the boundary. The procedures involve the use of a preconditioned iterative method for approximately solving the different linear systems of equations arising at each time step in a discrete-time Galerkin method.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA070211

Entities

People

  • Richard E. Ewing

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Displacement
  • Equations
  • Errors
  • Flow
  • Fluid Flow
  • Galerkin Method
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Numerical Analysis
  • Partial Differential Equations
  • Plastic Explosives
  • United States

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Fluid Dynamics (CFD)
  • Linear Algebra