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Large-scale PDE simulations using high-order finite-element methods on unstructured meshes are an indispensable tool in science and engineering. The widely used open-source PETSc library offers an efficient representation of generic unstructured meshes within its DMPlex module. This paper details our recent implementation of parallel mesh reading and topological interpolation (computation of edges and faces from a cell-vertex mesh) into DMPlex. We apply these developments to seismic wave propagation scenarios on Mars as an example application. The principal motivation is to overcome single-node memory limits and reach mesh sizes which were impossible before. Moreover, we demonstrate that scalability of I/O and topological interpolation goes beyond 12'000 cores, and memory-imposed limits on mesh size vanish.
23 pages, 11 figures
FOS: Computer and information sciences, Parallel I/O, DMPlex, Unstructured mesh; Directed acyclic graph; Partitioning; Topological interpolation; Parallel I/O; PETSc; DMPlex; Seismic waveform modeling; Spectral-element method, Spectral-element method, Unstructured mesh, Numerical Analysis (math.NA), 65-04, 65Y05, 65M50, 05C90, 35L05, Seismic waveform modeling, Directed acyclic graph, Topological interpolation, PETSc, FOS: Mathematics, Computer Science - Mathematical Software, Mathematics - Numerical Analysis, Mathematical Software (cs.MS), Partitioning
FOS: Computer and information sciences, Parallel I/O, DMPlex, Unstructured mesh; Directed acyclic graph; Partitioning; Topological interpolation; Parallel I/O; PETSc; DMPlex; Seismic waveform modeling; Spectral-element method, Spectral-element method, Unstructured mesh, Numerical Analysis (math.NA), 65-04, 65Y05, 65M50, 05C90, 35L05, Seismic waveform modeling, Directed acyclic graph, Topological interpolation, PETSc, FOS: Mathematics, Computer Science - Mathematical Software, Mathematics - Numerical Analysis, Mathematical Software (cs.MS), Partitioning
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 10 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |