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An Efficient Parallel ADI Algorithm for Solving 3-D Convection Diffusion Equations with Neumann Boundary Conditions
Parallel Processing Workshops, 2002. Proceedings. International Conference on
  • Honghai Zeng, Mississippi State University
  • Jianping Zhu, Cleveland State University
Document Type
Conference Proceeding
Publication Date
1-1-2002
Disciplines
Abstract
Convection diffusion equations are widely used to model various important phenomena and processes in science and engineering. The calculation of numerical solutions for three-dimensional models is very computation intensive. The alternate direction implicit (ADI) algorithm is very efficient for this kind of equations and suitable for parallel computing. However, when Neumann boundary conditions are involved in the equations, it is difficult to maintain the original order of accuracy. We discuss a method to deal with Neumann boundary conditions when the ADI algorithm is used. The new method maintains the second order accuracy and is very scalable on multiprocessor parallel computers.
DOI
10.1109/ICPPW.2002.1039747
Citation Information
Zeng, H. and Zhu, J. (2002), An efficient parallel ADI algorithm for solving 3-D convection diffusion equations with Neumann boundary conditions, in Proceedings of the 2002 International Conference on Parallel Processing: Special Workshop on High Performance Scientific and Engineering Computing with Applications, 320 – 326, IEEE Computer Society Press, Los Alamitos, California.