### Abstract

Original language | Undefined |
---|---|

Title of host publication | Computational Science - ICCS 2007 |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 898-905 |

Number of pages | 10 |

ISBN (Print) | 978-3-540-72583-1 |

DOIs | |

Publication status | Published - 13 Jul 2007 |

### Publication series

Name | Lecture Notes in Computer Science |
---|---|

Publisher | Springer Verlag |

Number | 4487 |

Volume | 4487 |

### Keywords

- EWI-11814
- IR-64597
- METIS-247042

### Cite this

*Computational Science - ICCS 2007*(pp. 898-905). [10.1007/978-3-540-72584-8_118] (Lecture Notes in Computer Science; Vol. 4487, No. 4487). Berlin: Springer. https://doi.org/10.1007/978-3-540-72584-8_118

}

*Computational Science - ICCS 2007.*, 10.1007/978-3-540-72584-8_118, Lecture Notes in Computer Science, no. 4487, vol. 4487, Springer, Berlin, pp. 898-905. https://doi.org/10.1007/978-3-540-72584-8_118

**Fourier Spectral Solver for the Incompressible Navier-Stokes Equations with Volume-Penalization.** / Keetels, G.H.; Clercx, H.J.H.; van Heijst, G.J.F.

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

TY - CHAP

T1 - Fourier Spectral Solver for the Incompressible Navier-Stokes Equations with Volume-Penalization

AU - Keetels, G.H.

AU - Clercx, H.J.H.

AU - van Heijst, G.J.F.

N1 - 10.1007/978-3-540-72584-8_118

PY - 2007/7/13

Y1 - 2007/7/13

N2 - 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.

AB - 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.

KW - EWI-11814

KW - IR-64597

KW - METIS-247042

U2 - 10.1007/978-3-540-72584-8_118

DO - 10.1007/978-3-540-72584-8_118

M3 - Chapter

SN - 978-3-540-72583-1

T3 - Lecture Notes in Computer Science

SP - 898

EP - 905

BT - Computational Science - ICCS 2007

PB - Springer

CY - Berlin

ER -