Massively parallel adaptive mesh refinement and coarsening for dynamic fracture simulations

Alhadeff, Andrei; Leon, Sofie E.; Celes, Waldemar; Paulino, Gláucio H.

doi:10.1007/s00366-015-0431-0

Cited by 11 publications

(3 citation statements)

References 28 publications

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“…Zienkiewicz and Zhu 3 utilized a recovered gradient, that is, the recovery-based error estimator, to construct meshes for adaptive refinement. Since then, adaptive mesh refinement has been employed to solve various engineering problems, for example, shear bands, [4][5][6] cohesive fracture, [7][8][9][10] structural optimization, [11][12][13][14] hydrodynamics, 15 magnetohydrodynamics, 16 hemodynamics, 17 compressible flow, 18 and Lattice Boltzmann simulation. 19 The aforementioned references are not exhaustive and just represent a very small sample of the field.…”

Section: Introductionmentioning

confidence: 99%

“…20 Molinari and Ortiz 6 performed mesh coarsening with an edge-collapse operator while introducing local retriangulation tools to improve mesh quality. To avoid mesh quality issues during edge-collapse, Park et al 8 employed adaptive mesh coarsening by reversing the adaptive refinement in 4k structured meshes, and Alhadeff et al 7 parallelized the adaptive mesh refinement and coarsening process. Bassi et al 21,22 proposed mesh agglomeration of uniform quadrilateral meshes in conjunction with the mesh free concept.…”

Section: Introductionmentioning

confidence: 99%

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Computational Morphogenesis: Morphologic constructions using polygonal discretizations

Choi

Chi

Park

et al. 2020

Numerical Meth Engineering

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To consistently coarsen arbitrary unstructured meshes, a computational morphogenesis process is built in conjunction with a numerical method of choice, such as the virtual element method with adaptive meshing. The morphogenesis procedure is performed by clustering elements based on a posteriori error estimation. Additionally, an edge straightening scheme is introduced to reduce the number of nodes and improve accuracy of solutions. The adaptive morphogenesis can be recursively conducted regardless of element type and mesh generation counting. To handle mesh modification events during the morphogenesis, a topology-based data structure is employed, which provides adjacent information on unstructured meshes. Numerical results demonstrate that the adaptive mesh morphogenesis effectively handles mesh coarsening for arbitrarily shaped elements while capturing problematic regions such as those with sharp gradients or singularity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computational Morphogenesis: Morphologic constructions using polygonal discretizations

Choi

Chi

Park

et al. 2020

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…Problemas relacionados à fragmentação envolvem análises dinâmicas não lineares de propagação de múltiplas fissuras considerando fenômenos como a nucleação, coalescência e bifurcação. Tais análises são mais frequentemente abordadas na literatura utilizando elementos coesivos de interface em conjunto com programas de elementos finitos acoplados a robustos algoritmos de remalhamento com refinamentos locais adaptativos (PARK et al 2012;ALHADEFF et al 2016). Métodos sem malhas, a teoria peridinâmica e modelos de campo de fase aparecem como alternativas mais recentes para abordar esses fenômenos de fratura (RABCZUC et al 2010;HA e BOBARU, 2010;BORDEN et al, 2012).…”

Section: Estado Da Arte 121 a Mecânica Da Fratura Teórica E Computaunclassified

Contribuições às análises de fratura e fadiga de componentes tridimensionais pelo Método dos Elementos de Contorno Dual

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Dedico meus sinceros agradecimentos:A Deus, pela vida e por ter me proporcionado saúde e paz ao longo desses anos, permitindo assim que eu trilhasse meus caminhos e concluísse mais esta etapa.A toda minha família, em especial aos meus pais, Paulo e Regina (In memoriam), e tios/tias, que sempre estiveram ao meu lado. Ao meu irmão Robson, por toda a ajuda e incentivo ao longo desses últimos anos. Agradeço também à minha cunhada e aos meus sobrinhos pelos momentos de descontração.À minha esposa Beatriz e à minha filha Maria Fernanda, pelos momentos de felicidade compartilhados. Aos meus sogros, pelo constante carinho e suporte ao longo dessa jornada, me ajudando em vários momentos. À senhora Marli Pereira e novamente à minha esposa, por me ajudar a cuidar da minha querida filha, com muito amor e carinho.Ao professor Edson Leonel, por toda a atenção, paciência, humildade e disponibilidade para me atender em todos os momentos. Acredito que além da orientação, também levarei uma prospera amizade.Aos professores da pós-graduação do SET,

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On Defragmentation Algorithms for GPU-Native Octree-Based AMR Grids

Pavlukhin

Men’shov

2021

Lecture Notes in Computer Science

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Massively parallel adaptive mesh refinement and coarsening for dynamic fracture simulations

Cited by 11 publications

References 28 publications

Computational Morphogenesis: Morphologic constructions using polygonal discretizations

Computational Morphogenesis: Morphologic constructions using polygonal discretizations

Contribuições às análises de fratura e fadiga de componentes tridimensionais pelo Método dos Elementos de Contorno Dual

On Defragmentation Algorithms for GPU-Native Octree-Based AMR Grids

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