A High-Order Immersed-Boundary Method for Complex/Moving Boundaries

2014 ◽  
Author(s):  
Chi Zhu ◽  
Guibo Li ◽  
Haoxiang Luo
Keyword(s):  
Immersed Boundary Method ◽  
Numerical Approach ◽  
High Order ◽  
Moving Boundaries ◽  
Immersed Boundary ◽  
Third Order ◽  
Compact Finite Difference Scheme ◽  
Boundary Method ◽  
The One ◽  
Immersed Boundaries

In this study, we intend to develop a high-order numerical approach using the immersed-boundary method to solve problems with complex and moving boundaries such as biological locomotion (animal swimming and flying) and biomedical flow systems. The basic idea is to use the compact finite-difference scheme to resolve the flow field and a higher-order forcing scheme to treat the immersed boundaries. In this work, the one-dimensional formulation of the numerical approach is presented and is tested extensively for its convergence. Such tests are necessary before more complicated tests in 2D/3D. An overall third-order accuracy is achieved as desired. Extension to higher dimensions is ongoing.

scholarly journals A Discrete-Forcing Immersed Boundary Method for Moving Bodies in Air–Water Two-Phase Flows

2020 ◽  
Vol 8 (10) ◽  
pp. 809
Author(s):  
Haixuan Ye ◽  
Yang Chen ◽  
Kevin Maki
Keyword(s):  
Free Surface ◽  
Immersed Boundary Method ◽  
Surface Profile ◽  
Field Extension ◽  
Immersed Boundary ◽  
Two Phase Flows ◽  
Two Phase ◽  
Practical Applications ◽  
Boundary Method ◽  
Immersed Boundaries

For numerical simulations of ship and offshore hydrodynamic problems, it is challenging to model the interaction between the free surface and moving complex geometries. This paper proposes a discrete-forcing immersed boundary method (IBM) to efficiently simulate moving solid boundaries in incompressible air–water two-phase flows. In the present work, the air–water two-phase flows are modeled using the Volume-of-Fluid (VoF) method. The present IBM is suitable for unstructured meshes. It can be used combined with body-fitted wall boundaries to model the relative motions between solid walls, which makes it flexible to use in practical applications. A field extension method is used to model the interaction between the air–water interface and the immersed boundaries. The accuracy of the method is demonstrated through validation cases, including the three-dimensional dam-break problem with an obstacle, the water exit of a circular cylinder, and a ship model advancing with a rotating semi-balanced rudder. The flow field, free-surface profile and force on the immersed boundaries (IBs) are in good agreement with experimental data and other numerical results.

On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries

2012 ◽  
Vol 56 ◽  
pp. 61-76 ◽  
Author(s):  
Haoxiang Luo ◽  
Hu Dai ◽  
Paulo J.S.A. Ferreira de Sousa ◽  
Bo Yin
Keyword(s):  
Immersed Boundary Method ◽  
Moving Boundaries ◽  
Immersed Boundary ◽  
Boundary Method ◽  
Direct Forcing

scholarly journals Immersed boundary method for high-order flux reconstruction based on volume penalization

2021 ◽  
pp. 110721
Author(s):  
Jiaqing Kou ◽  
Saumitra Joshi ◽  
Aurelio Hurtado-de-Mendoza ◽  
Kunal Puri ◽  
Charles Hirsch ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
High Order ◽  
Immersed Boundary ◽  
Flux Reconstruction ◽  
Boundary Method
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