A modified equation analysis for immersed boundary methods based on volume penalization: Applications to linear advection–diffusion equations and high-order discontinuous Galerkin schemes

Llorente, Víctor J.; Kou, Jiaqing; Valero, Eusebio; Ferrer, Esteban

doi:10.1016/j.compfluid.2023.105869

Computers & Fluids

2023

DOI: 10.1016/j.compfluid.2023.105869

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A modified equation analysis for immersed boundary methods based on volume penalization: Applications to linear advection–diffusion equations and high-order discontinuous Galerkin schemes

Víctor J. Llorente

Jiaqing Kou

Eusebio Valero

et al.

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2024

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Theoretical considerations of the volume penalization immersed boundary method for turbulent flows

Llorente

2024

Physics of Fluids

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This Letter explores the volume penalization immersed boundary method for turbulent flows from a more physical perspective. The volume penalization approach consists of introducing a penalty source into the governing equations, resulting in a flow akin to a porous medium with low permeability. Although penalizing the turbulent equations conventionally involves adding a similar penalty source as in the original equations, this work reveals an alternative formulation that includes an additional term with physical meaning. The novelty of this Letter is to consider the penalized flow with an additional property, the fluid resistance, establishing a cross correlation with fluctuating velocity for further modeling.

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Theoretical considerations of the volume penalization immersed boundary method for turbulent flows

Llorente

2024

Physics of Fluids

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A modified equation analysis for immersed boundary methods based on volume penalization: Applications to linear advection–diffusion equations and high-order discontinuous Galerkin schemes

Cited by 1 publication

References 55 publications

Theoretical considerations of the volume penalization immersed boundary method for turbulent flows

Theoretical considerations of the volume penalization immersed boundary method for turbulent flows

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