Abstract
A new numerical method for kinetic equations in several dimensions has been recently presented by Motta and Wick (1991). The method has been then applied to simple models to test its applicability to realistic physical situations. In the present paper we discuss the parallel performance of the method on a distributed memory platform based on a cluster of IBM RS/6000 superscalar workstations.
Similar content being viewed by others
References
Baranger, H. U., and Wilkins, J. W. (1984).Phys. Rev. B 30, 7349.
Baranger, H. U. (1985).Physica B 134, 470.
Baranger, H. U. (1986). Thesis Cornell University.
Barone, C. (1993). Homogeneous Relaxation model in 3 dimensions, University of Catania (Preprint).
Burkhard, R., Motta, S., and Wick, J. (1992). The CRF-method in general coordinates, University of Kaiserslautern (Preprint). Submitted toJ. Comp. Phys.
Collett, G. H., and Raviart, P. A. (1984).J. Num Anal. SIAM 21, 52.
Decyk, V., Tsung, F., Liewer, P., Lyster, P., and Ferraro, R. (1992). Inst. of Plasma and Fusion Research Report PPG-1446, University of California, Los Angeles.
Degond, P., and Guyot-Delaurens, F. (1990). Particle simulation of the semiconductor Boltzmann equation for the one-dimensional inhomogeneous structures.J. Comp. Phys. 90, 65–97.
Degond, P., Guyot-Delaurens, F., Mustieles, F. J., and Nier, F. (1988). Semiconductor modelling via the Boltzmann equation,Lecture Notes in Math. 1460, 87–106.
Degond, P., and Niclot, B. (1989). Numerical Analysis of the weighted particle method applied to the semiconductor Boltzmann equation,Numer. Math. 55, 599–618.
Fox, G., Johnson, M., Lyzenga, G., Otto, S., Salmon, J., and Walker, D. (1988).Solving Problems on Concurrent Processors, Vol. 1, Prentice-Hall, Englewood Cliffs, NJ.
Motta, S., and Wick, J. (1991). A new numerical method for kinetic equations in several dimensions,Computing 46, 223–232.
Niclot, B., Degond, P., and Poupaud, F. (1988). Deterministic particle simulation of the Boltzmann transport equation of semiconductors.J. Comp. Phys. 78, 313–349.
PVMe User's Guide SH23-0019-00, (1993). Available through IBM branch offices.
Stanton, C. J., Baranger, H. U., and Wilkins, J. W. (1986).Appl. Phys. Lett. 49, 176.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Falsaperla, P., Motta, S. & Succi, S. Parallel efficiency of the C.R.F. method on an IBM RS/6000 cluster platform. J Sci Comput 9, 293–309 (1994). https://doi.org/10.1007/BF01575034
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01575034