A dual element based geometric element transformation method for all-hexahedral mesh smoothing

Vartziotis, Dimitris; Wipper, Joachim

doi:10.1016/j.cma.2010.09.012

Cited by 25 publications

(15 citation statements)

References 26 publications

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“…Now in the case of heptahedron, the criterion of q(H) is not same as in [15,16]. In that case, if H is regular then q(H) ∈ [0, 1], where very small values indicate nearly degenerated elements and large values element good quality.…”

Section: Characterization Of Mean Ratio Quality Of a Heptahedronmentioning

confidence: 99%

“…That is det(A) > 0 with A := (h 2 − h 1 , h 3 − h 1 , h 4 − h 1 ) representing the (3 × 3) Jacobian matrix of the difference vectors, which span the tetrahedron. In [4,7,[14][15][16], authors have discussed how to get mean ratio quality of a tetrahedron and using this procedure we define the mean ratio quality for heptahedron,…”

Section: Characterization Of Mean Ratio Quality Of a Heptahedronmentioning

confidence: 99%

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Regularization of heptahedra using geometric element transformation method

Pal

Dey

Bhattacharyya

2018

Eur. J. Pure Appl. Math.

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Abstract. By Geometric element transformation method (GETMe) always we get a new element. In this paper, we investigate the regularization of heptahedra using GETMe. Energy function is a cost function for heptahedra which is also applicable for octahedra, decahedra, hexahedra etc. is defined by a particular process, which we call base diagonal apex method (BDAMe). We also try to find the characterization of different cost function using BDAMe when we transform a heptahedra by GETMe.2010 Mathematics Subject Classifications: 65M50, 51M04.

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Section: Characterization Of Mean Ratio Quality Of a Heptahedronmentioning

confidence: 99%

Section: Characterization Of Mean Ratio Quality Of a Heptahedronmentioning

confidence: 99%

Regularization of heptahedra using geometric element transformation method

Pal

Dey

Bhattacharyya

2018

Eur. J. Pure Appl. Math.

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“…The sequential as well as the simultaneous GETMe approach has been extended to 3D meshes, i.e. tetrahedral meshes [34] and to hexahedral meshes [35].…”

Section: Introductionmentioning

confidence: 99%

DARSS: a hybrid mesh smoother for all hexahedral meshes

Jani

Chawla

Mukherjee

et al. 2011

Engineering with Computers

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“…This approach has been presented for tetrahedron in Vartziotis et al (2009), then for hexahedrons in Vartziotis and Wipper (2011) and for mixed elements mesh (tetrahedron, pyramids, prisms and hexahedrons) in Vartziotis and Wipper (2012). This method is called the Geometric Element Transformation Method (GETMe).…”

Section: Improving Robustness By Smoothingmentioning

confidence: 99%

Robust moving-mesh algorithms for hybrid stretched meshes: Application to moving boundaries problems

Landry

Soulaïmani

Luke

et al. 2016

54th AIAA Aerospace Sciences Meeting

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ACKNOWLEDGEMENTSI would like to express my gratitude:• To my thesis supervisor Azzeddine Soulaïmani Ph.D., Eng. Professor Soulaïmani has given me the chance to explore a complex subject with freedom and trust. I have also gained a lot from his mentoring, reputation, experience and our long discussions for which I am truly grateful;• To Amine Ben Haj Ali Ph.D. for his help on defining the test cases and his experiences in meshing generation;• To Professor Edward Luke Ph.D. who shared with us his mesh-mover algorithm which was crucial to generate great results and study deeper the subject of moving boundaries problems;• To Aziz Madrane Ph.D. for his recommendation on the use of the ADT search algorithm.Also, a special thanks to the École de technologie supérieure for entrusting me the excellence scholarship which allowed me to dedicate my energy completely to this research with the support of this growing institution.I dedicated this work to my dear fiancée Alicia who allowed me to push myself every day and to produce proudly this thesis thanks to her love and her motivation; à ma mère Colette, mon père Georges, mon frère Nicholas et ma soeur Maude pour leur soutien inconditionnel; to all my friends who have help me grow; and to Botas and Rizpita whom entertain me during my redaction. MÉTHODES ROBUSTES DE MOUVEMENT DE MAILLAGES HYBRIDES: APPLICATION AUX PROBLÈMES DE FRONTIÈRES MOBILESJonathan LANDRY RÉSUMÉ L'objectif principal de ce mémoire est de développer un Algorithme de Mouvement de Maillage (AMM) suffisament robuste qui sera capable d'adapter les maillages de la majorité des problèmes de frontières mobiles. Ainsi, une nouvelle méthodologie est implémentée à partir de la meilleure combinaison provenant d'algorithmes connus dans le but de mieux préserver la qualité des maillages initiaux.Dans la majorité des simulations, les AMMs standards sont capables de déplacer le maillage en conservant une bonne qualité de maillage, toutefois quand le mouvement est complexe et/ou qu'il y a une interaction multi-corps ils génèrent des maillages invalides. Alors, la nouvelle approche est constituée de trois algorithmes: la fonction pondérée de la distance inverse (PDI) pour produire le champ de déplacements, les algorithmes de lissages de la Méthode de Transformation Géométrique d'Élément (MéTGÉ) pour améliorer la qualité du maillage résultant et un nouvel algorithme basé sur la MéTGÉ qui est capable de réparer les maillages invalides. Il a été prouvé qu'avec cette méthodologie des problèmes de frontières mobiles très difficiles peuvent être résolus.L'approche proposée a été démontrée efficace pour adapter les maillages de différentes situations aéroélastiques réalistes: une aile symétrique a subi une grande flexion et une grande torsion induites au bout de l'aile; et les dispositifs hypersustentateurs de deux ailes (une rectangulaire et une avec une flèche) ont été déplacés vers différentes positions de vol.Finalement, il a été prouvé qu'avec la méthode proposée, la majorité des maillages pour les problèmes d'IFS peuvent ê...

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A dual element based geometric element transformation method for all-hexahedral mesh smoothing

Cited by 25 publications

References 26 publications

Regularization of heptahedra using geometric element transformation method

Regularization of heptahedra using geometric element transformation method

DARSS: a hybrid mesh smoother for all hexahedral meshes

Robust moving-mesh algorithms for hybrid stretched meshes: Application to moving boundaries problems

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