A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems

The main idea of the Chimera method is to generate independent meshes for the objects present in a computational domain and to couple them by a coupling strategy in order to obtain a unique solution of the system. The method has appealing characteristics that are convenient for applications like sim...

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Detalles Bibliográficos
Autores principales: Storti, Bruno A., Garelli, Luciano, Storti, Mario A., D'Elía, Jorge
Formato: Objeto de conferencia Resumen
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/104891
https://cimec.org.ar/ojs/index.php/mc/article/view/5381
Aporte de:
id I19-R120-10915-104891
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
chimera method
overlapping grids
coupling scheme
domain decomposition
parallel optimization
pyOpt
spellingShingle Ingeniería
chimera method
overlapping grids
coupling scheme
domain decomposition
parallel optimization
pyOpt
Storti, Bruno A.
Garelli, Luciano
Storti, Mario A.
D'Elía, Jorge
A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
topic_facet Ingeniería
chimera method
overlapping grids
coupling scheme
domain decomposition
parallel optimization
pyOpt
description The main idea of the Chimera method is to generate independent meshes for the objects present in a computational domain and to couple them by a coupling strategy in order to obtain a unique solution of the system. The method has appealing characteristics that are convenient for applications like simplified mesh generation, moving components, local refinement and optimization. The optimization process is a straightforward application where several objects, each one with its respective mesh, can be moved around without the need to remesh the whole computational domain. Then, different optimization techniques can be used to find the optimum configuration of the system in terms of an objective function. In a previous work (B. Storti et al., “A chimera method based on Dirichlet-Dirichlet coupling and pasting penalization operators”, Mecánica Computacional, vol. XXXIV, 2016), we have presented and validated a Chimera scheme in the finite element context for structured meshes, and we have proven that it has a good convergence rate solving the system iteratively with BiCGStab (BiConjugate Gradient Stabilized method). In the present work, we improve the Chimera method to solve thermal conduction problems on overlapping unstructured meshes and then we test it in several optimization cases. A Dirichlet-Dirichlet coupling imposes the continuity of the unknown on overlapping subdomains and to transfer these values between the multiples domains, a third order interpolation method is used in conjunction with a "pasting" penalization operator. Several numerical examples are also shown in order to validate the proposed interpolation method. Finally a variety of optimization problems are solved under the pyOpt framework, either using gradient-free or gradient based optimizers, running in the CIMEC cluster Seshat (http://www.cimec.org.ar/c3/seshat/equipos.php), where every evaluation test of the objective function is compute on each core. Seshat is a 69 nodes cluster, which has an Infiniband network and a computing power of almost 7 TFLOPS.
format Objeto de conferencia
Resumen
author Storti, Bruno A.
Garelli, Luciano
Storti, Mario A.
D'Elía, Jorge
author_facet Storti, Bruno A.
Garelli, Luciano
Storti, Mario A.
D'Elía, Jorge
author_sort Storti, Bruno A.
title A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
title_short A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
title_full A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
title_fullStr A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
title_full_unstemmed A Coupling Strategy for a Chimera Method Applied to Thermal Conduction Optimization Problems
title_sort coupling strategy for a chimera method applied to thermal conduction optimization problems
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/104891
https://cimec.org.ar/ojs/index.php/mc/article/view/5381
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