An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries
Year: 2014
Author: M. Bergmann, J. Hovnanian, A. Iollo
Communications in Computational Physics, Vol. 15 (2014), Iss. 5 : pp. 1266–1290
Abstract
An accurate cartesian method is devised to simulate incompressible viscous flows past an arbitrary moving body. The Navier-Stokes equations are spatially discretized onto a fixed Cartesian mesh. The body is taken into account via the ghost-cell method and the so-called penalty method, resulting in second-order accuracy in velocity. The accuracy and the efficiency of the solver are tested through two-dimensional reference simulations. To show the versatility of this scheme we simulate a three-dimensional self propelled jellyfish prototype.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.220313.111013a
Communications in Computational Physics, Vol. 15 (2014), Iss. 5 : pp. 1266–1290
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Author Details
M. Bergmann Email
J. Hovnanian Email
A. Iollo Email
-
Congested Shallow Water Model: Trapped Air Pockets Modeling
Parisot, Martin
SIAM Journal on Scientific Computing, Vol. 45 (2023), Iss. 6 P.B828
https://doi.org/10.1137/22M1514908 [Citations: 1] -
Existence of suitable weak solutions to the Navier–Stokes equations in time varying domains
Choe, Hi Jun | Jang, Yunsoo | Yang, MinsukNonlinear Analysis, Vol. 163 (2017), Iss. P.163
https://doi.org/10.1016/j.na.2017.08.003 [Citations: 9] -
Modified diffuse interface fluid model and its consistent energy-stable computation in arbitrary domains
Yang, Junxiang | Tan, Zhijun | Wang, Jian | Kim, JunseokJournal of Computational Physics, Vol. 488 (2023), Iss. P.112216
https://doi.org/10.1016/j.jcp.2023.112216 [Citations: 19] -
Topology-free immersed boundary method for incompressible turbulence flows: An aerodynamic simulation for “dirty” CAD geometry
Onishi, Keiji | Tsubokura, MakotoComputer Methods in Applied Mechanics and Engineering, Vol. 378 (2021), Iss. P.113734
https://doi.org/10.1016/j.cma.2021.113734 [Citations: 19] -
Self-propelling, soft, and slender structures in fluids: Cosserat rods immersed in the velocity–vorticity formulation of the incompressible Navier–Stokes equations
Tekinalp, Arman | Bhosale, Yashraj | Cui, Songyuan | Chan, Fan Kiat | Gazzola, MattiaComputer Methods in Applied Mechanics and Engineering, Vol. 440 (2025), Iss. P.117910
https://doi.org/10.1016/j.cma.2025.117910 [Citations: 0] -
Phase-field modeling and consistent energy-stable simulation of binary creeping flows in contact with solid
Yang, Junxiang | Wu, Jingwen | Tan, ZhijunComputer Methods in Applied Mechanics and Engineering, Vol. 414 (2023), Iss. P.116180
https://doi.org/10.1016/j.cma.2023.116180 [Citations: 6] -
A discrete forcing method dedicated to moving bodies in two‐phase flow
Benguigui, W. | Doradoux, A. | Lavieville, J. | Mimouni, S. | Longatte, E.International Journal for Numerical Methods in Fluids, Vol. 88 (2018), Iss. 7 P.315
https://doi.org/10.1002/fld.4670 [Citations: 10] -
An efficient computational method for simulating incompressible fluid flows on a virtual cubic surface
Yang, Junxiang | Kang, Seungyoon | Kim, Sangkwon | Hwang, Youngjin | Kwak, Soobin | Ham, Seokjun | Kim, JunseokCommunications in Nonlinear Science and Numerical Simulation, Vol. 144 (2025), Iss. P.108676
https://doi.org/10.1016/j.cnsns.2025.108676 [Citations: 0] -
Enablers for high‐order level set methods in fluid mechanics
Luddens, Francky | Bergmann, Michel | Weynans, LislInternational Journal for Numerical Methods in Fluids, Vol. 79 (2015), Iss. 12 P.654
https://doi.org/10.1002/fld.4070 [Citations: 12] -
A two-way coupling CFD method to simulate the dynamics of a wave energy converter
Bergmann, Michel | Bracco, Giovanni | Gallizio, Federico | Giorcelli, Ermanno | Iollo, Angelo | Mattiazzo, Giuliana | Ponzetta, MaurizioOCEANS 2015 - Genova, (2015), P.1
https://doi.org/10.1109/OCEANS-Genova.2015.7271481 [Citations: 3] -
Numerical modeling of a self-propelled dolphin jump out of water
Bergmann, Michel
Bioinspiration & Biomimetics, Vol. 17 (2022), Iss. 6 P.065010
https://doi.org/10.1088/1748-3190/ac8fc8 [Citations: 6] -
Local lubrication model for spherical particles within incompressible Navier-Stokes flows
Lambert, B. | Weynans, L. | Bergmann, M.Physical Review E, Vol. 97 (2018), Iss. 3
https://doi.org/10.1103/PhysRevE.97.033313 [Citations: 18] -
Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method
Mimeau, C. | Cottet, G.-H. | Mortazavi, I.Computers & Fluids, Vol. 136 (2016), Iss. P.331
https://doi.org/10.1016/j.compfluid.2016.06.020 [Citations: 23] -
Modeling zebrafish escape swim reveals maximum neuromuscular power output and efficient body movement adaptation to increased water viscosity
Ravel, Guillaume | Mercé, Théo | Bergmann, Michel | Knoll-Gellida, Anja | Bouharguane, Afaf | Al Kassir, Sara | Iollo, Angelo | Babin, Patrick J.iScience, Vol. 28 (2025), Iss. 3 P.112056
https://doi.org/10.1016/j.isci.2025.112056 [Citations: 0] -
An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes
Bergmann, Michel | Fondanèche, Antoine | Iollo, AngeloJournal of Computational Physics, Vol. 471 (2022), Iss. P.111647
https://doi.org/10.1016/j.jcp.2022.111647 [Citations: 6] -
Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
A Fully Eulerian Finite Volume Method for the Simulation of Fluid-Structure Interactions on AMR Enabled Quadtree Grids
Bergmann, Michel | Fondanèche, Antoine | Iollo, Angelo2020
https://doi.org/10.1007/978-3-030-43651-3_73 [Citations: 0] -
Cartesian CFD Methods for Complex Applications
AMR Enabled Quadtree Discretization of Incompressible Navier–Stokes Equations with Moving Boundaries
Bergmann, Michel | Fondanèche, Antoine | Iollo, Angelo2021
https://doi.org/10.1007/978-3-030-61761-5_1 [Citations: 0] -
Modified multi-phase diffuse-interface model for compound droplets in contact with solid
Yang, Junxiang | Li, Yibao | Kim, JunseokJournal of Computational Physics, Vol. 491 (2023), Iss. P.112345
https://doi.org/10.1016/j.jcp.2023.112345 [Citations: 12] -
Phase-field simulation of multiple fluid vesicles with a consistently energy-stable implicit–explicit method
Yang, Junxiang | Kim, JunseokComputer Methods in Applied Mechanics and Engineering, Vol. 417 (2023), Iss. P.116403
https://doi.org/10.1016/j.cma.2023.116403 [Citations: 7] -
Bioinspired swimming simulations
Bergmann, Michel | Iollo, AngeloJournal of Computational Physics, Vol. 323 (2016), Iss. P.310
https://doi.org/10.1016/j.jcp.2016.07.022 [Citations: 12] -
An Eulerian Finite-Volume Approach of Fluid-Structure Interaction Problems on Quadtree Meshes
Bergmann, Michel | Fondanèche, Antoine | Iollo, AngeloSSRN Electronic Journal , Vol. (2022), Iss.
https://doi.org/10.2139/ssrn.4000236 [Citations: 0] -
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition
Bergmann, Michel | Carlino, Michele Giuliano | Iollo, Angelo | Telib, HaysamJournal of Computational Physics, Vol. 467 (2022), Iss. P.111414
https://doi.org/10.1016/j.jcp.2022.111414 [Citations: 3] -
Simulation of moving boundaries interacting with compressible reacting flows using a second-order adaptive Cartesian cut-cell method
Muralidharan, Balaji | Menon, SureshJournal of Computational Physics, Vol. 357 (2018), Iss. P.230
https://doi.org/10.1016/j.jcp.2017.12.030 [Citations: 21] -
Data-driven optimal control of undulatory swimming
Maroun, Karl | Traoré, Philippe | Bergmann, MichelPhysics of Fluids, Vol. 36 (2024), Iss. 7
https://doi.org/10.1063/5.0215502 [Citations: 0] -
A zonal Galerkin-free POD model for incompressible flows
Bergmann, Michel | Ferrero, Andrea | Iollo, Angelo | Lombardi, Edoardo | Scardigli, Angela | Telib, HaysamJournal of Computational Physics, Vol. 352 (2018), Iss. P.301
https://doi.org/10.1016/j.jcp.2017.10.001 [Citations: 34] -
Arbitrary-Lagrangian-Eulerian finite volume IMEX schemes for the incompressible Navier-Stokes equations on evolving Chimera meshes
Carlino, Michele Giuliano | Boscheri, WalterJournal of Computational Physics, Vol. 501 (2024), Iss. P.112764
https://doi.org/10.1016/j.jcp.2024.112764 [Citations: 3]