Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10360273" target="_blank" >RIV/00216208:11320/17:10360273 - isvavai.cz</a>

Výsledek na webu

<a href="https://arc.aiaa.org/doi/abs/10.2514/6.2017-3100" target="_blank" >https://arc.aiaa.org/doi/abs/10.2514/6.2017-3100</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2514/6.2017-3100" target="_blank" >10.2514/6.2017-3100</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model

Popis výsledku v původním jazyce

In this paper we propose an adjoint-based mesh optimization method for conservation laws, which may be used with any numerical method based on piecewise polynomials. The method uses a continuous mesh framework, where a global optimization scheme was formulated with respect to the error in the numerical solution, measured in any $L^q$ norm. The novelty of the present work is the extension to more general optimization targets. Here, any solution-dependent functional, which is compatible with an adjoint equation, may be the target of the continuous-mesh optimization. We present the rationale behind the formulation of the optimization problem, with particular emphasis on the continuous mesh model, and the relevant adjoint-based error estimate. We also present numerical results, demonstrating the viability of the scheme.

Název v anglickém jazyce

Adjoint-based anisotropic mesh adaptation for Discontinuous Galerkin Methods Using a Continuous Mesh Model

Popis výsledku anglicky

In this paper we propose an adjoint-based mesh optimization method for conservation laws, which may be used with any numerical method based on piecewise polynomials. The method uses a continuous mesh framework, where a global optimization scheme was formulated with respect to the error in the numerical solution, measured in any $L^q$ norm. The novelty of the present work is the extension to more general optimization targets. Here, any solution-dependent functional, which is compatible with an adjoint equation, may be the target of the continuous-mesh optimization. We present the rationale behind the formulation of the optimization problem, with particular emphasis on the continuous mesh model, and the relevant adjoint-based error estimate. We also present numerical results, demonstrating the viability of the scheme.

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

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

23rd AIAA Computational Fluid Dynamics Conference

ISBN

978-1-62410-506-7

ISSN

—

e-ISSN

neuvedeno

Počet stran výsledku

19

Strana od-do

1-19

Název nakladatele

American Institute of Aeronautics and Astronautics Inc, AIAA

Místo vydání

Denver,USA

Místo konání akce

Denver

Datum konání akce

5. 6. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—