On Comparison of Suitable interpolations for Finite Element Meshes Respecting Physical Laws

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00361647" target="_blank" >RIV/68407700:21220/22:00361647 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On Comparison of Suitable interpolations for Finite Element Meshes Respecting Physical Laws
Original language description
This paper is devoted to the interpolation between two computational finite element meshes. Such interpolation of FE solution onto a new mesh is needed in many applications like material cutting, casting, welding, etc., or in the numerical simulation of fluid-structure interaction with large displacements, where a computational flow mesh quality can significantly deteriorate. In this talk we are interested in the interpolation with restrictions as introduced by authors Pont & Codina, 2017. They proposed to combine a computationally cheap interpolation method together with constraints in the form of Lagrange multipliers which enforce conservation of de- sired quantities, like e.g. total mass, kinetic energy or potential energy. This approach respects physical laws and it is efficient, on the other hand its disadvantage is only a global conserva- tion of physical quantities not the local one. The numerical results consist of comparison of the Lagrange interpolation and the natural neighbour as representatives of cheap interpolation methods on a few test cases.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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