An improved-Rhie-Chow interpolation scheme for the smoothed-interface immersed boundary method

Wei Yi, Daniel Corbett, Xue-Feng Yuan

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Abstract

Rhie-Chow interpolation is a commonly used method in CFD calculations on a co-located mesh in order to suppress non-physical pressure oscillations arising from chequer-board effects. A fully parallelised smoothed-interface immersed boundary method on a co-located grid is described in this paper. We discuss the necessity of modifications proposed by Choi [1] to the original Rhie-Chow interpolation in order to deal with a locally refined mesh. Numerical simulation with the modified scheme of Choi shows numerical dissipation due to Rhie-Chow interpolation introduces significant errors at the immersed boundary. To address this issue we develop an improved-Rhie-Chow interpolation scheme which is shown to increase the accuracy in resolving the flow near the immersed boundary. We compare our improved scheme with the modified scheme of Choi by parallel simulations of two benchmark flows i/ flow past a stationary cylinder and ii/ flow past an oscillating cylinder, both for Reynolds numbers in the range 10 - 200. Our improved scheme is significantly more accurate and compares favourably with a staggered grid algorithm. We also develop a scheme for calculating the boundary force for the direct-forcing immersed boundary method in a computationally efficient way.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Fluids
Early online date10 May 2016
DOIs
Publication statusPublished - 7 Nov 2016

Keywords

  • Rhie-Chow interpolation
  • immersed boundary method
  • OpenFOAM
  • finite volume method

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