Shared-memory block-based fast marching method for hierarchical meshes

• Published in: Journal of computational and applied mathematics Vol. 392; p. 113488
• Main Authors: Quell, Michael, Diamantopoulos, Georgios, Hössinger, Andreas, Weinbub, Josef
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15-08-2021
• Subjects: Eikonal equation; Fast marching method; Hierarchical meshes; Level-set method; Re-distancing; Shared-memory parallelization; Eikonal equation; Fast marching method; Level-set method; Hierarchical meshes; Re-distancing; Shared-memory parallelization
• ISSN: 0377-0427; 1879-1778
• DOI: 10.1016/j.cam.2021.113488

The fast marching method is commonly used in expanding front simulations in various fields, such as, fluid dynamics, computer graphics, and in microelectronics, to restore the signed-distance field property of the level-set function, also known as re-distancing. To improve the performance of the re-distancing step, parallel algorithms for the fast marching method as well as support for hierarchical meshes have been developed; the latter to locally support higher resolutions of the simulation domain whilst limiting the impact on the overall computational demand. In this work, the previously developed multi-mesh fast marching method is extended by a so-called block-based decomposition step to improve serial and parallel performance on hierarchical meshes. OpenMP tasks are used for the underlying coarse-grained parallelization on a per mesh basis. The developed approach offers improved load balancing as the algorithm employs a high mesh partitioning degree, enabling to balance mesh partitions with varying mesh sizes. Various benchmarks and parameter studies are performed on representative geometries with varying complexities. The serial performance is increased by up to 21% whereas parallel speedups ranging from 7.4 to 19.1 for various test cases on a 24-core Intel Skylake computing platform have been achieved, effectively doubling the parallel efficiency of the previous approach.