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A new direct method for the discretized Poisson equation

  • Session I Fundamental Numerical Techniques
  • Conference paper
  • First Online:
Book cover Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 8))

Abstract

An influence coefficient matrix method, called the error vector propagation or EVP method, for solving the discretized Poisson equation is described and its characteristics are investigated. This direct method is especially well suited to solving a family of problems, each of which has different non-homogenous terms and different boundary values, but which are all solved in the same mesh with the same class of linear boundary conditions. This is the case in incompressible fluid dynamics problems using the stream function-vorticity approach.

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Author information

Authors and Affiliations

  1. Numerical Fluid Dynamics Division Sandia Laboratories, Albuquerque, New Mexico, USA

    Patrick J. Roache

Authors
  1. Patrick J. Roache
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Editor information

Maurice Holt

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© 1971 Springer-Verlag

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Roache, P.J. (1971). A new direct method for the discretized Poisson equation. In: Holt, M. (eds) Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-05407-3_8

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  • DOI: https://doi.org/10.1007/3-540-05407-3_8

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05407-8

  • Online ISBN: 978-3-540-36533-4

  • eBook Packages: Springer Book Archive

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