A compact scheme for the streamfunction formulation of Navier-Stokes equations

D. Fishelov; M. Ben-Artzi; J. P. Croisille

doi:10.1007/3-540-44839-x_85

A compact scheme for the streamfunction formulation of Navier-Stokes equations

D. Fishelov^*, M. Ben-Artzi, J. P. Croisille

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

14 Scopus citations

Abstract

We introduce a pure-streamfunction formulation for the incompressible Navier-Stokes equations. The idea is to replace the vorticity in the vorticity- streamfunction evolution equation by the Laplacianof the streamfunction. The resulting formulation includes the streamfunction only, thus no inter-function relations need to invoked. A compact numerical scheme, which interpolates streamfunction values as well as its first order derivatives, is presented and analyzed.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Editors	Vipin Kumar, Marina L. Gavrilova, Chih Jeng Kenneth Tan, Pierre L’Ecuyer, Chih Jeng Kenneth Tan
Publisher	Springer Verlag
Pages	809-817
Number of pages	9
ISBN (Print)	3540401555, 9783540448396
DOIs	https://doi.org/10.1007/3-540-44839-x_85
State	Published - 2003

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2667
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/3-540-44839-x_85

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Fishelov, D., Ben-Artzi, M., & Croisille, J. P. (2003). A compact scheme for the streamfunction formulation of Navier-Stokes equations. In V. Kumar, M. L. Gavrilova, C. J. K. Tan, P. L’Ecuyer, & C. J. K. Tan (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 809-817). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2667). Springer Verlag. https://doi.org/10.1007/3-540-44839-x_85

Fishelov, D. ; Ben-Artzi, M. ; Croisille, J. P. / A compact scheme for the streamfunction formulation of Navier-Stokes equations. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). editor / Vipin Kumar ; Marina L. Gavrilova ; Chih Jeng Kenneth Tan ; Pierre L’Ecuyer ; Chih Jeng Kenneth Tan. Springer Verlag, 2003. pp. 809-817 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Fishelov, D, Ben-Artzi, M & Croisille, JP 2003, A compact scheme for the streamfunction formulation of Navier-Stokes equations. in V Kumar, ML Gavrilova, CJK Tan, P L’Ecuyer & CJK Tan (eds), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2667, Springer Verlag, pp. 809-817. https://doi.org/10.1007/3-540-44839-x_85

A compact scheme for the streamfunction formulation of Navier-Stokes equations. / Fishelov, D.; Ben-Artzi, M.; Croisille, J. P.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). ed. / Vipin Kumar; Marina L. Gavrilova; Chih Jeng Kenneth Tan; Pierre L’Ecuyer; Chih Jeng Kenneth Tan. Springer Verlag, 2003. p. 809-817 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2667).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Fishelov D, Ben-Artzi M, Croisille JP. A compact scheme for the streamfunction formulation of Navier-Stokes equations. In Kumar V, Gavrilova ML, Tan CJK, L’Ecuyer P, Tan CJK, editors, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag. 2003. p. 809-817. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-44839-x_85

A compact scheme for the streamfunction formulation of Navier-Stokes equations

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