A characteristic method for porous medium flow

Mohamed Al-Lawatia, Kaixin Wang, Aleksey S. Telyakovskiy, Hong Wang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present an efficient and accurate characteristic method for the solution of the unsteady-state advection-diffusion transport equations, which arise in the mathematical models for flow and transport processes in porous media. The advantages of this method include symmetrising the governing transport equation, treating boundary conditions naturally in the formulation, and conserving mass. Moreover, because of the Lagrangian nature of the algorithm used, the method generates accurate numerical solutions even when large time steps and coarse spatial grids are used in the simulation. Numerical experiments are presented to illustrate the performance of the method.

Original languageEnglish
Pages (from-to)467-479
Number of pages13
JournalInternational Journal of Computing Science and Mathematics
Volume1
Issue number2-4
Publication statusPublished - 2007

Fingerprint

Porous Media Flow
Characteristics Method
Advection
Porous materials
Boundary conditions
Mathematical models
Transport Equation
Advection-diffusion Equation
Transport Processes
Experiments
Porous Media
Governing equation
Numerical Experiment
Numerical Solution
Mathematical Model
Grid
Formulation
Simulation

Keywords

  • characteristic methods
  • compositional flow models
  • ELM
  • Eulerian-Lagrangian methods
  • porous medium flow

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Computational Mathematics
  • Theoretical Computer Science

Cite this

A characteristic method for porous medium flow. / Al-Lawatia, Mohamed; Wang, Kaixin; Telyakovskiy, Aleksey S.; Wang, Hong.

In: International Journal of Computing Science and Mathematics, Vol. 1, No. 2-4, 2007, p. 467-479.

Research output: Contribution to journalArticle

Al-Lawatia, M, Wang, K, Telyakovskiy, AS & Wang, H 2007, 'A characteristic method for porous medium flow', International Journal of Computing Science and Mathematics, vol. 1, no. 2-4, pp. 467-479.
Al-Lawatia, Mohamed ; Wang, Kaixin ; Telyakovskiy, Aleksey S. ; Wang, Hong. / A characteristic method for porous medium flow. In: International Journal of Computing Science and Mathematics. 2007 ; Vol. 1, No. 2-4. pp. 467-479.
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