Interpolation with restrictions -- role of the boundary conditions and individual restrictions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00582254" target="_blank" >RIV/67985840:_____/23:00582254 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/23:00366337

Výsledek na webu

<a href="http://dx.doi.org/10.21136/panm.2022.26" target="_blank" >http://dx.doi.org/10.21136/panm.2022.26</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/panm.2022.26" target="_blank" >10.21136/panm.2022.26</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Interpolation with restrictions -- role of the boundary conditions and individual restrictions

Popis výsledku v původním jazyce

The contribution deals with the remeshing procedure between two computational finite element meshes. The remeshing represented by the interpolation of an approximate solution onto a new mesh is needed in many applications like e.g. in aeroacoustics, here we are particularly interested in the numerical flow simulation of a gradual channel collapse connected with a~severe deterioration of the computational mesh quality. Since the classical Lagrangian projection from one mesh to another is a dissipative method not respecting conservation laws, a conservative interpolation method introducing constraints is described. The constraints have form of Lagrange multipliers enforcing conservation of desired flow quantities, like e.g. total fluid mass, flow kinetic energy or flow potential energy. Then the interpolation problem turns into an error minimization problem, such that the resulting quantities of proposed interpolation satisfy these physical properties while staying as close as possible to the results of Lagrangian interpolation in the L2 norm. The proposed interpolation scheme does not impose any restrictions on mesh generation process and it has a relatively low computational cost. The implementation details are discussed and test cases are shown.

Název v anglickém jazyce

Interpolation with restrictions -- role of the boundary conditions and individual restrictions

Popis výsledku anglicky

The contribution deals with the remeshing procedure between two computational finite element meshes. The remeshing represented by the interpolation of an approximate solution onto a new mesh is needed in many applications like e.g. in aeroacoustics, here we are particularly interested in the numerical flow simulation of a gradual channel collapse connected with a~severe deterioration of the computational mesh quality. Since the classical Lagrangian projection from one mesh to another is a dissipative method not respecting conservation laws, a conservative interpolation method introducing constraints is described. The constraints have form of Lagrange multipliers enforcing conservation of desired flow quantities, like e.g. total fluid mass, flow kinetic energy or flow potential energy. Then the interpolation problem turns into an error minimization problem, such that the resulting quantities of proposed interpolation satisfy these physical properties while staying as close as possible to the results of Lagrangian interpolation in the L2 norm. The proposed interpolation scheme does not impose any restrictions on mesh generation process and it has a relatively low computational cost. The implementation details are discussed and test cases are shown.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Programs and Algorithms of Numerical Mathematics 21

ISBN

978-80-85823-73-8

ISSN

—

e-ISSN

—

Počet stran výsledku

12

Strana od-do

281-292

Název nakladatele

Institute of Mathematics CAS

Místo vydání

Prague

Místo konání akce

Jablonec nad Nisou

Datum konání akce

19. 6. 2022

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

—