A Characteristic Domain Decomposition Algorithm for Two-Phase Flows with Interfaces

Abstract

The mathematical model that describes the process of an immiscible displacement of oil by water in reservoir production or other two-phase fluid flows in porous media leads to a strongly coupled system of a degenerated nonlinear advection-diffusion equation for saturation and an elliptic equation for pressure and velocity. The hyperbolic nature strong coupling and nonlinearity of the system and the degeneracy of the diffusion makes numerical simulation a challenging task. Many numerical methods suffer from serious non-physical oscillations excessive numerical dispersion and/or a combination of both.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
AD1000051

Entities

People

  • Hao Wang

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Advection
  • Algorithms
  • Applied Mathematics
  • Boltzmann Equation
  • Boundaries
  • Computational Science
  • Continuity
  • Decomposition
  • Discontinuities
  • Displacement
  • Equations
  • Flow
  • Industrial Research
  • Mathematical Models
  • Mathematics
  • Method Of Characteristics
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Groundwater Contamination Remediation.