The Harmonic Polynomial Cell Method for Moving Bodies Immersed in a Cartesian Background Grid

Finn-Christian W. Hanssen, Marilena Greco, Yanlin Shao

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

In numerical simulations with moving bodies, and often with complex geometries, generation of high-quality body-fitted grids is a cumbersome and time-consuming task. An alternativeis to use a fixed (Cartesian) background grid, and allow the body to move freely over this. The challenge in such methods is to transfer the body-boundary conditions of the moving body to fixed grid nodes in a rational manner. In this paper, an Immersed Boundary Method (IBM) is proposed to simulate potential flow about a moving body on a Cartesian background grid. The recently developed Harmonic Polynomial Method, proven both accurate and computationally efficient, is used to represent the velocity potential in the fluid. The body-boundary conditions are interpolated by using ghost nodes inside the body with mirror interpolation points in the fluid.The method is first tested for a fixed cylinder in oscillatory flow to determine the accuracy of the proposed IBM, before considering the equivalent case of an oscillating cylinder in stillfluid. Finally, a steadily-advancing cylinder is studied, which is considered as the most challenging case with respect to spurious pressure oscillations. These are known to be a challenge in many IBMs, and special attention is therefore devoted to this aspect.
Original languageEnglish
Title of host publicationProceedings of the ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering
Number of pages10
Publication date2015
Article numberOMAE2015-41282
ISBN (Electronic)978-0-7918-5659-8
DOIs
Publication statusPublished - 2015
Externally publishedYes
EventASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering - St John’s, Newfoundland, Canada
Duration: 31 May 20155 Jun 2015
Conference number: 34

Conference

ConferenceASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering
Number34
CountryCanada
CitySt John’s, Newfoundland
Period31/05/201505/06/2015

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