Lattice-gas simulations of two-phase flow in porous media

Manfred Krafczyk, Manuel Schulz, Ernst Rank

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Nearly all CFD methods can be considered as discretization methods for partial differential equations, such as finite difference, finite volume, finite element, spectral or boundary integral element method. Virtually unrecognized by the scientific mainstream in computational fluid dynamics (CFD) during the last decade, a completely different approach to flow simulation has been developed in computational physics. The basic idea of lattice-gas solvers (LGS) goes bck to the cellular automation concept of John von Neumann. LGS use objects ('cells'), being extremely simple compared to finite boxes or finite elements. The state of a cell is usually described by only a few bits therefore often two orders of magnitude more cells are used for simulation with LGS than 'elements' in a finite element computation. LGS are explicit time-stepping procedures; no equation systems have to be solved. Thus every time-step is extremely cheap in terms of CPU power compared to standard procedures, yet again much short time-steps have to be usd. LGS are inherently parallel and are suitable to coarse-grain as well as to fine-grain parallization. The paper will discuss some advantages and disadvantages of lattice-gas solvers and present LG simulation results of two-phase flow with moving boundaries on a microscope scale for a two-dimensional test geometry of randomly distributed equally sized disks where the effect of surface tension on the steady-state saturation will be demonstrated.

Original languageEnglish
Pages (from-to)709-717
Number of pages9
JournalCommunications in Numerical Methods in Engineering
Volume14
Issue number8
DOIs
StatePublished - Aug 1998

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