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Numerical simulation and optimal shape for viscous flow by a fictitious domain method (1995)

Glowinski, Roland ; Pan, Tsorng-Whay ; Kearsley, Anthony J. ; [weitere]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 20 (1995), S. 695-711

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ISSN: 0271-2091

Schlagwort(e): fictitious domain methods ; Lagrange multipliers ; Navier-Stokes equations ; optimal shape problems ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: In this article we discuss the fictitious domain solution of the Navier-Stokes equations modelling unsteady incompressible viscous flow. The method is based on a Lagrange multiplier treatment of the boundary conditions to be satisfied and is particularly well suited to the treatment of no-slip boundary conditions. This approach allows the use of structured meshes and fast specialized solvers for problems on complicated geometries. Another interesting feature of the fictitious domain approach is that it allows the solution of optimal shape problems without regriding. The resulting methodology is applied to the solution of flow problems including external incompressible viscous flow modelled by the Navier-Stokes equations and then to an optimal shape problem for Stokes and Navier-Stokes flow.

Zusätzliches Material: 8 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650200803

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Digitale Medien

MODELLING AND NUMERICAL SIMULATION OF LOW-MACH-NUMBER COMPRESSIBLE FLOWS (1996)

LI, CHIN-HSIEN ; GLOWINSKI, ROLAND

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 23 (1996), S. 77-103

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ISSN: 0271-2091

Schlagwort(e): operator splitting ; low-Mach-number flows ; natural convection ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: Based upon the operator-splitting method designed by the authors to solve the Navier-Stokes equations with variable density and viscosity, a segregated time-marching solution scheme is proposed for solving the low-Mach-number flow model with the acoustic waves being filtered out. This solution scheme does not rely on the correction for global mass conservation to maintain solution accuracy. With this advantage the scheme can be directly applied to general low-Mach-number flow problems with confidence.The scheme is validated by comparing the results for a number of test cases with known limiting exact solutions and published numerical solutions by other authors.

Zusätzliches Material: 14 Ill.

Materialart: Digitale Medien

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Domain decomposition methods in sciences and engineering: 8th international conference, Beijing, China, May 1995 (1997)

Glowinski, Roland [[Hrsg.]] ; Periaux, Jacques [[Hrsg.]] ; Shi, Z. C. [[Hrsg.]] ; [weitere]

Chichester u.a. :Wiley,

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Titel: Domain decomposition methods in sciences and engineering: 8th international conference, Beijing, China, May 1995

Beteiligte Person(en): Glowinski, Roland , Periaux, Jacques , Shi, Z. C. , Widlund, Olof B.

Verlag: Chichester u.a. :Wiley,

Erscheinungsjahr: 1997

Seiten: 512 S.

Materialart: Buch

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