An improved implicit direct-forcing immersed boundary method (DF-IBM) around arbitrarily moving rigid structures

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dc.contributor.authorFarah, Elias
dc.contributor.authorOuahsine, A.
dc.contributor.authorVerdin, Patrick G.
dc.date.accessioned2024-10-17T15:01:43Z
dc.date.available2024-10-17T15:01:43Z
dc.date.freetoread2024-10-17
dc.date.issued2024-10-01
dc.date.pubOnline2024-10-16
dc.description.abstractAn improved implicit direct-forcing immersed boundary method (DF-IBM) is presented for simulating incompressible flows around complex rigid structures undergoing arbitrary motion. The current approach harnesses the pressure implicit with splitting of operators algorithm to handle the fluid–solid system's dual constraints in a segregated manner. As a result, the divergence-free condition is preserved throughout the Eulerian domain, and the no-slip velocity boundary condition is exactly enforced on the immersed boundary. A new pressure Poisson equation (PPE) is derived, incorporating the boundary force where the no-slip condition is already met, enabling the use of fast iterative PPE solvers without modifications. The improvement involves integrating Lagrangian weight methods having better reciprocity over the IBM-related linear operators with the implicit formulation. An additional force initialization scheme is introduced to further boost the algorithm's performance. The method's accuracy, efficiency, and capability are verified through various stationary and moving immersed boundary cases. The results are validated against experimental and numerical data from the literature. The proposed improvements seamlessly integrate into existing incompressible fluid solvers with minimal adjustments to the original system equations, highlighting their ease of implementation.
dc.description.journalNamePhysics of Fluids
dc.description.sponsorshipThis research was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) (Grant No. EP/T518104/1, Project Reference No. 2676291).
dc.identifier.citationFarah E, Ouahsine A, Verdin PG. (2024) An improved implicit direct-forcing immersed boundary method (DF-IBM) around arbitrarily moving rigid structures. Physics of Fluids, Volume 36, Issue 10, September 2024, Article number 103618en_UK
dc.identifier.eissn1089-7666
dc.identifier.elementsID554970
dc.identifier.issn1070-6631
dc.identifier.issueNo10
dc.identifier.paperNo103618
dc.identifier.urihttps://doi.org/10.1063/5.0231218
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/23059
dc.identifier.volumeNo36
dc.languageEnglish
dc.language.isoen
dc.publisherAIP Publishingen_UK
dc.publisher.urihttps://pubs.aip.org/aip/pof/article/36/10/103618/3317146/An-improved-implicit-direct-forcing-immersed
dc.relation.isreferencedbyhttps://doi.org/10.57996/cran.ceres-2582
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFluids & Plasmasen_UK
dc.subject40 Engineeringen_UK
dc.subject49 Mathematical sciencesen_UK
dc.subject51 Physical sciencesen_UK
dc.titleAn improved implicit direct-forcing immersed boundary method (DF-IBM) around arbitrarily moving rigid structuresen_UK
dc.typeArticle
dcterms.dateAccepted2024-09-28

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