Communication-efficient algorithms for solving pressure Poisson equation for multiphase flows using parallel computers.

Autor: Soumyadip Ghosh, Jiacai Lu, Vijay Gupta, Gretar Tryggvason
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: PLoS ONE, Vol 17, Iss 11, p e0277940 (2022)
Druh dokumentu: article
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0277940
Popis: Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of time and energy. In this paper, we propose communication-efficient parallel algorithms for solving partial differential equations that alleviate this overhead. First, we describe an asynchronous algorithm that removes the requirement of synchronization and checks for termination in a distributed fashion while maintaining the provision to restart iterations if necessary. Then, we build on the asynchronous algorithm to propose an event-triggered communication algorithm that communicates the boundary values to neighboring processors only at certain iterations, thereby reducing the number of messages while maintaining similar accuracy of solution. We demonstrate our algorithms on a successive over-relaxation solver for the pressure Poisson equation arising from variable density incompressible multiphase flows in 3-D and show that our algorithms improve time and energy efficiency.
Databáze: Directory of Open Access Journals
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