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A stable fluid-structure-interaction solver for low-density rigid bodies using the immersed boundary projection method
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-3094-0848
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-8209-1449
2016 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 305, 300-318 p.Article in journal (Refereed) PublishedText
Abstract [en]

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations of motion are often sufficient to solve for the motion of cylindrical particles with low density ratios, for more complex particles - such as a body with a protrusion - they become unstable. We present an implicit formulation of the coupling between rigid body dynamics and fluid dynamics within the framework of the immersed boundary projection method. Similarly to previous work on this method, the resulting matrix equation in the present approach is solved using a block-LU decomposition. Each step of the block-LU decomposition is modified to incorporate the rigid body dynamics. We show that our method achieves second-order accuracy in space and first-order in time (third-order for practical settings), only with a small additional computational cost to the original method. Our implicit coupling yields stable solution for density ratios as low as 10(-4). We also consider the influence of fictitious fluid located inside the rigid bodies on the accuracy and stability of our method.

Place, publisher, year, edition, pages
Academic Press, 2016. Vol. 305, 300-318 p.
Keyword [en]
Immersed boundary method, Fictitious fluid, Newton's equations of motion, Implicit coupling, Low density ratios, Complex particles
National Category
Physical Sciences Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-180478DOI: 10.1016/j.jcp.2015.10.041ISI: 000366156600016ScopusID: 2-s2.0-84946595242OAI: oai:DiVA.org:kth-180478DiVA: diva2:895249
Note

QC 20160118

Available from: 2016-01-18 Created: 2016-01-14 Last updated: 2016-01-18Bibliographically approved

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Lacis, UgisBagheri, Shervin
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