A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion

Simple item page
dc.citation.firstpage413en_US
dc.citation.journalTitleComputational Mechanicsen_US
dc.citation.lastpage434en_US
dc.citation.volumeNumber67en_US
dc.contributor.authorTonon, Patríciaen_US
dc.contributor.authorSanches, Rodolfo André Kucheen_US
dc.contributor.authorTakizawa, Kenjien_US
dc.contributor.authorTezduyar, Tayfun E.en_US
dc.date.accessioned2021-03-12T21:00:00Zen_US
dc.date.available2021-03-12T21:00:00Zen_US
dc.date.issued2021en_US
dc.description.abstractGood mesh moving methods are always part of what makes moving-mesh methods good in computation of flow problems with moving boundaries and interfaces, including fluid–structure interaction. Moving-mesh methods, such as the space–time (ST) and arbitrary Lagrangian–Eulerian (ALE) methods, enable mesh-resolution control near solid surfaces and thus high-resolution representation of the boundary layers. Mesh moving based on linear elasticity and mesh-Jacobian-based stiffening (MJBS) has been in use with the ST and ALE methods since 1992. In the MJBS, the objective is to stiffen the smaller elements, which are typically placed near solid surfaces, more than the larger ones, and this is accomplished by altering the way we account for the Jacobian of the transformation from the element domain to the physical domain. In computing the mesh motion between time levels tn and tn+1 with the linear-elasticity equations, the most common option is to compute the displacement from the configuration at tn. While this option works well for most problems, because the method is path-dependent, it involves cycle-to-cycle accumulated mesh distortion. The back-cycle-based mesh moving (BCBMM) method, introduced recently with two versions, can remedy that. In the BCBMM, there is no cycle-to-cycle accumulated distortion. In this article, for the first time, we present mesh moving test computations with the BCBMM. We also introduce a version we call “half-cycle-based mesh moving” (HCBMM) method, and that is for computations where the boundary or interface motion in the second half of the cycle consists of just reversing the steps in the first half and we want the mesh to behave the same way. We present detailed 2D and 3D test computations with finite element meshes, using as the test case the mesh motion associated with wing pitching. The computations show that all versions of the BCBMM perform well, with no cycle-to-cycle accumulated distortion, and with the HCBMM, as the wing in the second half of the cycle just reverses its motion steps in the first half, the mesh behaves the same way.en_US
dc.identifier.citationTonon, Patrícia, Sanches, Rodolfo André Kuche, Takizawa, Kenji, et al.. "A linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortion." <i>Computational Mechanics,</i> 67, (2021) Springer Nature: 413-434. https://doi.org/10.1007/s00466-020-01941-y.en_US
dc.identifier.digitalTonon2021_Article_ALinear-elasticity-basedMeshMoen_US
dc.identifier.doihttps://doi.org/10.1007/s00466-020-01941-yen_US
dc.identifier.urihttps://hdl.handle.net/1911/110167en_US
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.titleA linear-elasticity-based mesh moving method with no cycle-to-cycle accumulated distortionen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Tonon2021_Article_ALinear-elasticity-basedMeshMo.pdf
Size:
4.69 MB
Format:
Adobe Portable Document Format
Download
Collections
Faculty Publications
Mechanical Engineering Publications