Enhancement of the accuracy of numerical field computation using an adaptive three-dimensional remeshing scheme

Houman Borouchaki; Thomas Grosges; Dominique Barchiesi

doi:10.1016/j.crme.2010.03.006

Enhancement of the accuracy of numerical field computation using an adaptive three-dimensional remeshing scheme

Presented by: Jean-Baptiste Leblond

Houman Borouchaki ¹ ; Thomas Grosges ¹; Dominique Barchiesi ¹

¹ Automatic Mesh Generation and Advanced Methods (Gamma3, UTT-INRIA), University of Technology of Troyes, 12, rue Marie Curie, BP 2060, 10010 Troyes cedex, France

Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 127-131.

Abstract (Original language)
Résumé

We present an improved adaptive remeshing strategy based on the unit remeshing concept to control the accuracy of the numerical solution of partial differential problems. Such an adaptive remeshing is applied in computing and in representing the strong variation of the physical fields in the space of solutions. We show that, the precision of the solution being controlled, this improved scheme permits to decrease drastically the computational time as well as the memory requirements by adapting the number and the position of nodes where high variations of gradients of the solution are present.

Nous présentons une méthode de remaillage adaptatif, basée sur le concept de remaillage unité, pour contrôler la précision de la solution numérique lors de la résolution d'un problème d'équations aux dérivées partielles. Une telle méthode est appliquée au calcul et à la représentation des fortes variations des champs physiques dans l'espace des solutions. Nous montrons que, avec une précision contrôlée, cette méthode de remaillage permet de diminuer fortement le temps de calcul et l'espace mémoire en adaptant le nombre et la position des nœuds de calcul là où de fortes variations des gradients de la solution sont présents.

Received: 2009-11-17
Accepted: 2010-03-17
Published online: 2010-03-01

DOI: 10.1016/j.crme.2010.03.006

Keywords: Waves, Adaptive meshing, Riemannian metric, Error estimates, Mesh optimization, Numerical approximation and analysis, Electromagnetics
Mots-clés : Ondes, Maillage adaptatif, Metrique riemannienne, Estimation d'erreur, Optimisation de maillages, Approxiamation et analyse numérique, Eléctromagnétisme

Author's affiliations:

Houman Borouchaki ¹; Thomas Grosges ¹; Dominique Barchiesi ¹

¹ Automatic Mesh Generation and Advanced Methods (Gamma3, UTT-INRIA), University of Technology of Troyes, 12, rue Marie Curie, BP 2060, 10010 Troyes cedex, France

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     author = {Houman Borouchaki and Thomas Grosges and Dominique Barchiesi},
     title = {Enhancement of the accuracy of numerical field computation using an adaptive three-dimensional remeshing scheme},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {127--131},
     publisher = {Elsevier},
     volume = {338},
     number = {3},
     year = {2010},
     doi = {10.1016/j.crme.2010.03.006},
     language = {en},
}

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Houman Borouchaki; Thomas Grosges; Dominique Barchiesi. Enhancement of the accuracy of numerical field computation using an adaptive three-dimensional remeshing scheme. Comptes Rendus. Mécanique, Volume 338 (2010) no. 3, pp. 127-131. doi : 10.1016/j.crme.2010.03.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.03.006/

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