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

RWTH Publications (RWTH Aachen)

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.

Authors 2

1. Jiaqing Kou Aachen Institute of Aerodynamics

   RWTH Aachen University

   Affiliation as printed

   Institute of Aerodynamics , RWTH Aachen University , Wüllnerstraße 5a , 52062 Aachen , Germany

   Institute of Aerodynamics, RWTH Aachen University, Wüllnerstraße 5a, 52062 Aachen, Germany

2. Esteban Ferrer

   Universidad Politécnica de Madrid

   Affiliation as printed

   Center for Computational Simulation , Universidad Politécnica de Madrid , Campus de Montegancedo , Boadilla del Monte , 28660 Madrid , Spain

   ETSIAE-UPM-School of Aeronautics , Universidad Politécnica de Madrid , Plaza Cardenal Cisneros 3 , E-28040 Madrid , Spain

   Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Boadilla del Monte, 28660 Madrid, Spain

   ETSIAE-UPM-School of Aeronautics, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, E-28040 Madrid, Spain