A polytree based coupling method for non-matching meshes in 3D

Zhang, Junqi; Song, Chongmin

doi:10.1016/j.cma.2019.02.038

Cited by 35 publications

(13 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mass matrix M is computed step by step through implementing the Eqs. ( 27)- (31). At the end of the first increment of an analysis, the stiffness and mass matrices are stored in the array SVARS of the UEL for later use.…”

Section: Integration Of E Ementioning

confidence: 99%

“…Hence, we require transition elements allowing adjacent polytope elements with different sizes, effectively reducing the number of elements and also the computational resources required. Finally, owing to the higher degree of flexibility of polytope elements, the initially non-matching interface meshes can be straightforwardly converted to matching ones by splitting interface edges (2D) or surfaces (3D) [31]. The matching discretization on the interface benefits the analyses involving multiple domains by facilitating the application of interface constraints.…”

Section: Introductionmentioning

confidence: 99%

“…The matching discretization on the interface benefits the analyses involving multiple domains by facilitating the application of interface constraints. Common areas of application include domain decomposition [31], contact [13,14], and acoustic-structure interaction [32] problems.…”

Section: Introductionmentioning

confidence: 99%

“…In addition to a more flexible meshing paradigm provided by the SBFEM, the performance of ABAQUS can be enhanced for further specific applications. ABAQUS models containing nonmatching interface meshes, e.g., fail to pass the patch test both in domain decomposition [31] and contact [13,14] problems, especially when the interfaces are curved. Using polytope elements, the theoretical results are recovered again, as we can easily generate matching surfaces for a wide variety of cases.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

Eisenträger

Song

et al. 2021

Computer Methods in Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

Section: Integration Of E Ementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

Eisenträger

Song

et al. 2021

Computer Methods in Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

“…Based on this methodology, arbitrary element types can be coupled [27]. In recent years, researchers have endeavored to apply this method to address image-based analysis [24,28,29], acoustics [30,31], contact [32,33], domain decomposition [34], wave propagation [35][36][37] and many other problems [38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes

Zhang,

Ankit,

Gravenkamp

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Typical areas of application of explicit dynamics are impact, crash test, and most importantly, wave propagation simulations. Due to the numerically highly demanding nature of these problems, efficient automatic mesh generators and transient solvers are required. To this end, a parallel explicit solver exploiting the advantages of balanced octree meshes is introduced. To avoid the hanging nodes problem encountered in standard finite element analysis (FEA), the scaled boundary finite element method (SBFEM) is deployed as a spatial discretization scheme. Consequently, arbitrarily shaped star-convex polyhedral elements are straightforwardly generated. Considering the scaling and transformation of octree cells, the stiffness and mass matrices of a limited number of unique cell patterns are pre-computed. A recently proposed mass lumping technique is extended to 3D yielding a well-conditioned diagonal mass matrix. This enables us to leverage the advantages of explicit time integrator, i.e., it is possible to efficiently compute the nodal displacements without the need for solving a system of linear equations. We implement the proposed scheme together with a central difference method (CDM) in a distributed computing environment. The performance of our parallel explicit solver is evaluated by means of several numerical benchmark examples, including complex geometries and various practical applications. A significant speedup is observed for these examples with up to one billion of degrees of freedom and running on up to 16,384 computing cores.

show abstract

Numerical Simulation of Spatial Crack Growth and the Local Failure Process of Rock Using the SMDSM Empowered by Structured 3-D Hierarchical Meshes

Wang,

Tang,

et al. 2024

Rock Mech Rock Eng

View full text Add to dashboard Cite

A polytree based coupling method for non-matching meshes in 3D

Cited by 35 publications

References 67 publications

An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes

Numerical Simulation of Spatial Crack Growth and the Local Failure Process of Rock Using the SMDSM Empowered by Structured 3-D Hierarchical Meshes

Contact Info

Product

Resources

About