Synchronous and Concurrent Multidomain Computing Method for Cloud Computing Platforms

We present a numerical method for synchronous and concurrent solution of transient elastodynamics problem where the computational domain is divided into subdomains that may reside on separate computational platforms. Here, this work employs the variational multiscale discontinuous Galerkin (VMDG) me...

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Bibliographic Details
Published in:SIAM journal on scientific computing 2021-01, Vol.43 (5), p.S565-S591
Main Authors: Anguiano, Marcelino, Kuberry, Paul, Bochev, Pavel, Masud, Arif
Format: Article
Language:English
Subjects:
concurrent solutions
elastodynamics
explicit time integration
interface coupling
MATHEMATICS AND COMPUTING
multiple computational subdomains
variational multiscale methods
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Summary:We present a numerical method for synchronous and concurrent solution of transient elastodynamics problem where the computational domain is divided into subdomains that may reside on separate computational platforms. Here, this work employs the variational multiscale discontinuous Galerkin (VMDG) method to develop interdomain transmission conditions for transient problems. The fine-scale modeling concept leads to variationally consistent coupling terms at the common interfaces. The method admits a large class of time discretization schemes, and decoupling of the solution for each subdomain is achieved by selecting any explicit algorithm. Numerical tests with a manufactured solution problem show optimal convergence rates. The energy history in a free vibration problem is in agreement with that of the solution from a monolithic computational domain.
ISSN:1064-8275
1095-7197
DOI:10.1137/20M1349278