Fourier spectral solver for the incompressible Navier-Stokes equations with volume-penalization

G.H. Keetels, H.J.H. Clercx, G.J.F. Heijst, van

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

3 Citaten (Scopus)
1 Downloads (Pure)


In this study we use a fast Fourier spectral technique to simulate the Navier-Stokes equations with no-slip boundary conditions. This is enforced by an immersed boundary technique called volume-penalization. The approach has been justified by analytical proofs of the convergence with respect to the penalization parameter. However, the solution of the penalized Navier-Stokes equations is not smooth on the surface of the penalized volume. Therefore, it is not a priori known whether it is possible to actually perform accurate fast Fourier spectral computations. Convergence checks are reported using a recently revived, and unexpectedly difficult dipole-wall collision as a test case. It is found that Gibbs oscillations have a negligible effect on the flow evolution. This allows higher-order recovery of the accuracy on a Fourier basis by means of a post-processing procedure.
Originele taal-2Engels
TitelProceedings of the 7th Intrenational Conference Computational Science (ICCS 2007) 27-30 May 2007, Beijing, China
RedacteurenYong Shi, G.D. Albada, van, J. Dongarra, P.M.A. Sloot
Plaats van productieBerlin / Heidelberg
ISBN van geprinte versie978-3-540-72583-1
StatusGepubliceerd - 2007
Evenement7th International Conference on Computational Science (ICCS 2007) - Jiuhua Spa & Resort, Beijing, China
Duur: 27 mei 200730 mei 2007
Congresnummer: 7

Publicatie series

NaamLecture Notes in Computer Science
ISSN van geprinte versie0302-9743


Congres7th International Conference on Computational Science (ICCS 2007)
Verkorte titelICCS 2007
AnderICCS 2007, Beijing, China
Internet adres


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