Abstract
We present a method to solve the heat equation that couples mesh refinement with explicit time steps greater than the Courant condition limit. The method is implemented in parallel and executes efficiently.
This work was performed under the auspices of the U.S. Department of Energy by the Lawrence Livermore Laboratory under Contract W-7405-Eng-48.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
6. References
Berger, Marsha J. and Oliger, Joseph, Adaptive Mesh Refinement For Hyperbolic Partial Differential Equations, Journal of Computational PHysics 53, 484–512 (1984).
Bolstad, John H., An Adaptive Finite Difference Method for Hyperbolic Systems in one space dimension, Lawrence Berkeley Lab LBL-13287-rev., (1982).
Rodrigue, G., Kang, L., Lin, G., and Wu, Z., The Generalized Schwarz Alternating Principle, to be published.
Rodrigue, G., Inner/Outer Iterations and Numerical Schwarz Algorithms, Journal of Parallel Computing Vol. 2, pp 205–218, (1985).
Rodrigue, G., An Implicit Numerical Solution of the Two-Dimensional Diffusion Equation and Vectorization Experiments, Parallel Computatins, Academic Press, 101–128, (1982).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rodrigue, G., Perkins, A.L. (1988). Locating parallel numerical tasks in the solution of viscous fluid flow. In: Dierstein, R., Müller-Wichards, D., Wacker, HM. (eds) Parallel Computing in Science and Engineering. DFVLR-Seminar 1987. Lecture Notes in Computer Science, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18923-8_18
Download citation
DOI: https://doi.org/10.1007/3-540-18923-8_18
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18923-7
Online ISBN: 978-3-540-38848-7
eBook Packages: Springer Book Archive