Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured meshes

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dc.contributor.authorShashkov, Mikhail
dc.contributor.authorKnupp, Patrick
dc.date.accessioned2016-12-08T08:04:39Z
dc.date.available2016-12-08T08:04:39Z
dc.date.issued2002
dc.description.abstractThe objective of the Arbitrary Lagrangian-Eulerian (ALE) methodology for solving multidimensional fluid flow problems is to move the computational mesh, using the flow as a guide, to improve the robustness, accuracy and efficiency of the simulation. A principal element is the rezone phase in which the computational ("rezoned") mesh is created that is adapted to the fluid motion. Here we describe a general rezone strategy that ensures the geometric quality of the computational mesh, while keeping it as close as possible to the Lagrangian mesh. In terminology of mesh generation community our method can be classified as a two-stage smoothing algorithm. We provide numerical examples to demonstrate the robustness and the effectiveness of our methodology.en_US
dc.identifier.citationShashkov, M., Knupp, P. (2002). Optimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured meshes. Selcuk Journal of Applied Mathematics, 3 (1), 81-99.en_US
dc.identifier.endpage99
dc.identifier.issn1302-7980en_US
dc.identifier.startpage81
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3451
dc.identifier.volume3
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectCondition numberen_US
dc.subjectReference Jacobianen_US
dc.subjectOptimizationen_US
dc.subjectRezoningen_US
dc.subjectŞart numarasıen_US
dc.subjectReferans Jacobianen_US
dc.subjectOptimizasyonen_US
dc.subjectYeniden bölmeen_US
dc.titleOptimization-based reference-matrix rezone strategies for arbitrary Lagrangian-Eulerian methods on unstructured meshesen_US
dc.typeArticleen_US

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