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Article Dans Une Revue Journal of Theoretical and Computational Acoustics Année : 2023

A High-Order Immersed Moving Boundary Method using Ghost Points and Characteristics for Acoustics

Résumé

Realistic acoustic problems often involve interactions between arbitrary-shaped moving objects at the interface with a fluid domain. The present work aims at developing numerical methods to take into account moving boundaries for acoustic problems, with a high order of convergence. The reference problem considered in this work is the solution of the non-linear Euler equations by a finite-difference time-domain method, describing the formation of one-dimensional waves created by a moving piston. The most suitable class of methods to solve this type of problem in the case of complex moving boundaries is the ghost-point method for sharp interface with 4th order reconstruction. 1 In order to accurately formulate the immersed boundaries with ghost points, the boundary conditions are formulated in terms of characteristic waves of the non-linear equations. The proposed approach is also extended to represent moving boundaries with a prescribed acoustic impedance. This is achieved by coupling a time-domain acoustic impedance model to the immersed boundary technique. The method is also applied to a two-dimensional example, where an acoustic pulse is reflected by a moving wall.
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Dates et versions

hal-04369565 , version 1 (02-01-2024)

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Constance Bocquet, Cyril Desjouy, Gwénaël Gabard. A High-Order Immersed Moving Boundary Method using Ghost Points and Characteristics for Acoustics. Journal of Theoretical and Computational Acoustics, 2023, ⟨10.1142/S2591728523300015⟩. ⟨hal-04369565⟩
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