Application of krylov exponential propagation to fluid dynamics equations

Y. Saad, B. D. Semeraro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper we present an application of matrix exponentiation via Krylov subspace projection, to the solution of fluid dynamics problems. The main idea is to approximate the operation exp(A)v by means of a projection-like process onto a Krylov subspace. This results in a computation of an exponential matrix vector product similar to the one above but of a much smaller size. Time integration schemes can then be devised to exploit this basic computational kernel. The motivation of this approach is to provide timeintegration schemes that are essentially of an explicit nature but which have good stability properties.

Original languageEnglish (US)
Title of host publication10th Computational Fluid Dynamics Conference, 1991
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - Jan 1 1991
Event10th Computational Fluid Dynamics Conference, 1991 - Honolulu, United States
Duration: Jun 24 1991Jun 26 1991

Other

Other10th Computational Fluid Dynamics Conference, 1991
Country/TerritoryUnited States
CityHonolulu
Period6/24/916/26/91

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