Semi-lagrangian integration schemes for viscous incompressible flows
Abstract: A new second-order accurate scheme for the computation of unsteady viscous incompressible flows is proposed. The scheme is based on the vorticity-stream function formulation along the characteristics and consists of combining the modified method of characteristics with an explicit scheme with an extended real stability interval. A comparison of the new method with the semi-Lagrangian Cranck-Nicolson and classical semi-Lagrangian Runge-Kutta schemes is presented. Numerical results are carried out on Navier-Stokes equations and this efficient second-order scheme has also made it possible to compute the driven cavity ow at a high Reynolds number on a refined grid at a reasonable cost. The procedure can be generalized to more than two dimensions.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Semi-lagrangian integration schemes for viscous incompressible flows ; volume:2 ; number:4 ; year:2002 ; pages:392-409
Computational methods in applied mathematics ; 2, Heft 4 (2002), 392-409
- Creator
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Seaïd, Mohammed
- DOI
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10.2478/cmam-2002-0022
- URN
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urn:nbn:de:101:1-2410261611204.954486200807
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:38 AM CEST
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Associated
- Seaïd, Mohammed
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