DeepAI AI Chat
Log In Sign Up

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

by   Junqi Zhang, et al.

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.


page 19

page 31

page 33

page 35

page 38

page 40

page 41

page 42


A Yee-like finite element scheme for Maxwell's equations on hybrid grids

A novel finite element method for the approximation of Maxwell's equatio...

Distributed-memory parallelization of the aggregated unfitted finite element method

The aggregated unfitted finite element method (AgFEM) is a methodology r...

The Parallel Full Approximation Scheme in Space and Time for a Parabolic Finite Element Problem

The parallel full approximation scheme in space and time (PFASST) is a p...

Optimal FFT-accelerated Finite Element Solver for Homogenization

We propose a matrix-free finite element (FE) homogenization scheme that ...

Octo-Tiger's New Hydro Module and Performance Using HPX+CUDA on ORNL's Summit

Octo-Tiger is a code for modeling three-dimensional self-gravitating ast...