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arXiv · 2306.00504

A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries

Jiaqing Kou·Esteban Ferrer
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Abstract

This work extends, to moving geometries, the immersed boundary method based on volume penalization and selective frequency damping approach [J. Kou, E. Ferrer, A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes, Journal of Computational Physics (2023)]. To do so, the numerical solution inside the solid is decomposed into a predefined movement and an oscillatory part (spurious waves), where the latter is damped by an SFD approach combined with volume penalization. We challenge the method with two cases. First, a new manufactured solution problem is proposed to show that the method can recover high-order accuracy. Second, we validate the methodology by simulating the laminar flow past a moving cylinder, where improved accuracy of the combined method is reported.

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Jiaqing Kou, Esteban Ferrer. 2023-06-01. A combined volume penalization / selective frequency damping approach for immersed boundary methods: application to moving geometries. https://doi.org/10.1063/5.0179779

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