Domain decomposition with characteristic finite difference method for two-phase displacement problems

  • Authors:

  • Changfeng Li;Yirang Yuan

  • Affiliations:

  • School of Economics, Shandong University, Jinan 250100, China;Institute of Mathematics, Shandong University, Jinan 250100, China

  • Venue:
  • Applied Numerical Mathematics
  • Year:
  • 2008

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Abstract

Domain decomposition difference schemes modified with characteristic method are presented for two-phase displacement. The pressure equation is discretized by a five-point difference procedure. To compute in parallel, the saturation equation is treated by domain decomposition difference schemes with characteristic approximation, which rely on implicit procedures in subdomains and one-dimensional calculation on the inter-domain boundaries. Error analysis in discrete l^2-norm is discussed. Finally, numerical examples illustrating the theoretical accuracy ant parallelism are shown.