IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

An Eulerian-Lagrangian substructuring domain decomposition method for unsteady-state advection-diffusion equations


A 2001 Preprint by M. Al-Lawatia and H. Wang

  • 2001:11
  • We develop an Eulerian-Lagrangian substructuring domain decomposition method for the solution of unsteady-state advection-diffusion transport equations. This method reduces to an Eulerian-Lagrangian scheme within each subdomain and to a type of Dirichlet-Neumann algorithm at subdomain interfaces. The method generates accurate and stable solutions that are free of artifacts even if large time steps are used in the simulation. Numerical experiments are presented to show the strong potential of the method.

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