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Splitting methods for high order solution of the incompressible Navier-Stokes equations in 3D
KTH, School of Engineering Sciences (SCI), Mechanics.
2005 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 47, no 10-11, 1157-1163 p.Article in journal (Refereed) Published
Abstract [en]

The incompressible Navier-Stokes equations are discretized in space by a hybrid method and integrated in time by the method of lines. The solution is determined on a staggered curvilinear grid in two space dimensions and by a Fourier expansion in the third dimension. The space derivatives are approximated by a compact finite difference scheme of fourth-order on the grid. The solution is advanced in time by a semi-implicit method. In each time step, systems of linear equations have to be solved for the velocity and the pressure. The iterations are split into one outer iteration and three inner iterations. The accuracy and efficiency of the method are demonstrated in a numerical experiment with rotated Poiseuille flow perturbed by Off-Sommerfeld modes in a channel.

Place, publisher, year, edition, pages
2005. Vol. 47, no 10-11, 1157-1163 p.
Keyword [en]
finite difference method, high order, 3D incompressible flow, iterative solution
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-42577DOI: 10.1002/fld.863ISI: 000228032300016Scopus ID: 2-s2.0-16244420737OAI: oai:DiVA.org:kth-42577DiVA: diva2:447178
Note
QC 20111011Available from: 2011-10-11 Created: 2011-10-11 Last updated: 2017-12-08Bibliographically approved

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