NEW LU FACTORED METHOD FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS.

Shigeru Obayashi, Kunio Kuwahara, Yoshimasa Yoshizawa

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

Abstract

The development of efficient methods for the compressible Navier-Stokes equations is desired. Numerical simulations by the popular Beam-Warming-Steger method is bounded both by the CPU time and by the temporary storage to invert block-tridiagonal matrices. Various factorization of the implicit procedure can be applied to improve convergence rates for steady-state problems. In this paper, a new LU factored method is developed by splitting the implicit procedure into inversions of the lower and upper bidiagonal matrices. This approximate LU factorization is derived from the concepts of the flux vector splitting technique and the implicit MacCormack method.

Original languageEnglish
Title of host publicationLecture Notes in Physics
PublisherSpringer-Verlag
Pages432-436
Number of pages5
ISBN (Print)3540139176
Publication statusPublished - 1985 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Obayashi, S., Kuwahara, K., & Yoshizawa, Y. (1985). NEW LU FACTORED METHOD FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS. In Lecture Notes in Physics (pp. 432-436). Springer-Verlag.