@inbook{0f3c2007b0c04c149563a4dcfe2dcdc5,

title = "Fourier Spectral Solver for the Incompressible Navier-Stokes Equations with Volume-Penalization",

abstract = "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.",

keywords = "EWI-11814, IR-64597, METIS-247042",

author = "G.H. Keetels and H.J.H. Clercx and {van Heijst}, G.J.F.",

note = "10.1007/978-3-540-72584-8_118 ",

year = "2007",

month = jul,

day = "13",

doi = "10.1007/978-3-540-72584-8_118",

language = "Undefined",

isbn = "978-3-540-72583-1",

series = "Lecture Notes in Computer Science",

publisher = "Springer",

number = "4487",

pages = "898--905",

booktitle = "Computational Science - ICCS 2007",

address = "Netherlands",

}