A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384600" target="_blank" >RIV/00216208:11320/18:10384600 - isvavai.cz</a>

Výsledek na webu

<a href="https://arc.aiaa.org/doi/10.2514/6.2018-3246" target="_blank" >https://arc.aiaa.org/doi/10.2514/6.2018-3246</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2514/6.2018-3246" target="_blank" >10.2514/6.2018-3246</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids

Popis výsledku v původním jazyce

Building on previous research we present a three-dimensional formulation of a metricbased mesh optimization scheme. The intended application area is higher order (discontinuous) Galerkin schemes for convection-diffusion problems. Ultimately, as in our previous two-dimensional formulation, the aim is to use the method for compressible flow simulation. Similar to the two-dimensional formulation, we combine a local (analytical) optimization of the anisotropy with an ensuing global optimization of the mesh density distribution. In particular the local optimization of the mesh anisotropy is a non-trivial extension of the two-dimensional case. Both optimization steps are built on a suitable continuous-mesh error estimate. The scheme is parameter-free, using only the total integrated mesh density as a constraint. We present the derivation of the method, as well as numerical experiments using model problems.

Název v anglickém jazyce

A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids

Popis výsledku anglicky

Building on previous research we present a three-dimensional formulation of a metricbased mesh optimization scheme. The intended application area is higher order (discontinuous) Galerkin schemes for convection-diffusion problems. Ultimately, as in our previous two-dimensional formulation, the aim is to use the method for compressible flow simulation. Similar to the two-dimensional formulation, we combine a local (analytical) optimization of the anisotropy with an ensuing global optimization of the mesh density distribution. In particular the local optimization of the mesh anisotropy is a non-trivial extension of the two-dimensional case. Both optimization steps are built on a suitable continuous-mesh error estimate. The scheme is parameter-free, using only the total integrated mesh density as a constraint. We present the derivation of the method, as well as numerical experiments using model problems.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název statě ve sborníku

48th AIAA Fluid Dynamics Conference 2018

ISBN

978-1-5108-6886-1

ISSN

—

e-ISSN

neuvedeno

Počet stran výsledku

24

Strana od-do

1352-1375

Název nakladatele

American Institute for Aeronautics and Astronautics ( AIAA )

Místo vydání

Neuveden

Místo konání akce

Atlanta,USA

Datum konání akce

25. 6. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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