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Volume 13, Issue 2
A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

B. Harikrishnan, Zhen Chen & Chang Shu

Adv. Appl. Math. Mech., 13 (2021), pp. 261-284.

Published online: 2020-12

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  • Abstract

A new Explicit Immersed Boundary method (IBM) is presented in this work by analyzing and simplifying the system of equations developed from the implicit boundary condition-enforced immersed boundary method. By this way, the requirement to solve the matrix system has been bypassed. It makes the solver be computationally less expensive, especially when large number of Lagrangian points are used to represent the solid boundary. The lattice Boltzmann Flux solver (LBFS) was chosen as the flow solver in this paper as it combines the advantages of both Lattice Boltzmann (LB) solver and Navier-Stokes solver. However, it should be indicated that the new IBM can be incorporated into any flow solver. Comprehensive validations demonstrate that the new explicit scheme bears comparable numerical accuracy as the previous implicit IBM when having a geometry with curvature. The new method is computationally much more efficient than the previous method, especially for moving boundary problems.

  • Keywords

Lattice Boltzmann flux solver, immersed boundary method, explicit, moving boundary, arbitrary Eulerian Lagrangian.

  • AMS Subject Headings

35Q30, 76D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-13-261, author = {B. and Harikrishnan and and 9877 and and B. Harikrishnan and Zhen and Chen and and 9878 and and Zhen Chen and Chang and Shu and and 9879 and and Chang Shu}, title = {A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {13}, number = {2}, pages = {261--284}, abstract = {

A new Explicit Immersed Boundary method (IBM) is presented in this work by analyzing and simplifying the system of equations developed from the implicit boundary condition-enforced immersed boundary method. By this way, the requirement to solve the matrix system has been bypassed. It makes the solver be computationally less expensive, especially when large number of Lagrangian points are used to represent the solid boundary. The lattice Boltzmann Flux solver (LBFS) was chosen as the flow solver in this paper as it combines the advantages of both Lattice Boltzmann (LB) solver and Navier-Stokes solver. However, it should be indicated that the new IBM can be incorporated into any flow solver. Comprehensive validations demonstrate that the new explicit scheme bears comparable numerical accuracy as the previous implicit IBM when having a geometry with curvature. The new method is computationally much more efficient than the previous method, especially for moving boundary problems.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2020-0106}, url = {http://global-sci.org/intro/article_detail/aamm/18483.html} }
TY - JOUR T1 - A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions AU - Harikrishnan , B. AU - Chen , Zhen AU - Shu , Chang JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 261 EP - 284 PY - 2020 DA - 2020/12 SN - 13 DO - http://doi.org/10.4208/aamm.OA-2020-0106 UR - https://global-sci.org/intro/article_detail/aamm/18483.html KW - Lattice Boltzmann flux solver, immersed boundary method, explicit, moving boundary, arbitrary Eulerian Lagrangian. AB -

A new Explicit Immersed Boundary method (IBM) is presented in this work by analyzing and simplifying the system of equations developed from the implicit boundary condition-enforced immersed boundary method. By this way, the requirement to solve the matrix system has been bypassed. It makes the solver be computationally less expensive, especially when large number of Lagrangian points are used to represent the solid boundary. The lattice Boltzmann Flux solver (LBFS) was chosen as the flow solver in this paper as it combines the advantages of both Lattice Boltzmann (LB) solver and Navier-Stokes solver. However, it should be indicated that the new IBM can be incorporated into any flow solver. Comprehensive validations demonstrate that the new explicit scheme bears comparable numerical accuracy as the previous implicit IBM when having a geometry with curvature. The new method is computationally much more efficient than the previous method, especially for moving boundary problems.

B. Harikrishnan, Zhen Chen & Chang Shu. (1970). A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions. Advances in Applied Mathematics and Mechanics. 13 (2). 261-284. doi:10.4208/aamm.OA-2020-0106
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