An asynchronous discontinuous-Galerkin method for solving PDEs at extreme scales

Goswami, SK and Aditya, K (2022) An asynchronous discontinuous-Galerkin method for solving PDEs at extreme scales. In: AIAA AVIATION 2022 Forum, 27 June - 1 July 2022, Chicago.

PDF AIAA 2022_2022.pdf - Published Version Restricted to Registered users only Download (391kB) | Request a copy

Abstract

Massively parallel simulations based on discontinuous-Galerkin (DG) PDE solvers often show poor scalability at extreme scales. This is mainly attributed to data communication and synchronization between different processing elements (PEs). This paper presents an asynchronous DG method that relaxes communication/synchronization at a mathematical level and allows computations at PEs to proceed regardless of the communication status, thus increasing the computation-communication overlap. We show that standard DG schemes under relaxed synchronization result in a loss of conservation property and provide solutions that are at most first-order accurate. Subsequently, we describe a simple method to preserve conservation and develop new asynchrony-tolerant (AT) fluxes that provide high-order accurate solutions. Results from simulations of one-dimensional linear and nonlinear equations are presented to verify the accuracy of the asynchronous DG method.

Item Type:	Conference Paper
Publication:	AIAA AVIATION 2022 Forum
Publisher:	American Institute of Aeronautics and Astronautics Inc, AIAA
Additional Information:	The copyright for this article belongs to the American Institute of Aeronautics and Astronautics Inc, AIAA.
Keywords:	Aviation; Galerkin methods, Communication and synchronizations; Data synchronization; Data-communication; Discontinous Galerkin methods; Discontinuous galerkin; Extreme scale; Massively parallels; Parallel simulations; PDE solvers; Processing elements, Nonlinear equations
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	23 Aug 2022 05:51
Last Modified:	23 Aug 2022 05:51
URI:	https://eprints.iisc.ac.in/id/eprint/76181

Actions (login required)

View Item