Parallelized method for multiphase diffusion-convection equation
by
Pieska Jali
University of Oulu, \\ Department of Mathematical Sciences, \\ Linnanmaa \\90410 Oulu, \\Finland
Coauthors: Erkki Laitinen

Our aim is to use domain decomposition method (DDM) to calculate numerical example for multiphase diffusion-convection equation in two-dimensional domain. The main idea has been to show that domain decomposition method in multiprocessor computer is much faster than nondecomposited method in single processor computer.

The numerical example includes same kind of initial and boundary conditions as real problem considering continuos casting of steel. For the numerical example diffusion-convection equation is discretized by using finite difference method in spatial variables and implicit euler method for time variable. The solution is calculated both in parallel and non-parallel way. The numerical results consider the time these different calculation methods need to get accurate solution.

Problem is non-linear in the mushy region but in the solid and liquid phase problem is linear and thus fast linear solvers can be used to calculate the solution. That will give us more advance in the numerical calculation comparing to the currently existing methods.

Date received: February 27, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caco-16.