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Multidomain collocation techniques for a viscous compressible flow
1991 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 13, no 5, p. 643-653Article in journal (Refereed) Published
Abstract [en]

This paper presents a viscous compressible flow problem to which an equilibrium solution, in terms of density and velocity, can be given implicitly by elementary functions. The corresponding initial boundary value problem is solved by time discretization by the Crank-Nicolson method, Newton linearization and space discretization using multidomain Chebyshev collocation techniques. The physical interval is covered by subintervals of equal length. Each subinterval utilizes the same number of collocation points and each interface consists of one or two points. Six ways of patching are tested. All of them yield solutions with spectral accuracy for a few time steps, but only three are stable in the long run. Details of the density evolution are illustrated

Place, publisher, year, edition, pages
1991. Vol. 13, no 5, p. 643-653
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:ltu:diva-3940DOI: 10.1002/fld.1650130507ISI: A1991GE98600006Scopus ID: 2-s2.0-0026417174Local ID: 1c9c1fc0-065a-11dd-97e0-000ea68e967bOAI: oai:DiVA.org:ltu-3940DiVA, id: diva2:976802
Note
Godkänd; 1991; 20080409 (cira)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Kjellmert, Bo

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