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DTSTART;TZID=America/Denver:20191121T083000
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UID:submissions.supercomputing.org_SC19_sess348_rpost230@linklings.com
SUMMARY:Poster 149: Solving Phase-Field Equations in Space-Time: Adaptive
Space-Time Meshes and Stabilized Variational Formulations
DESCRIPTION:Posters, Research Posters\n\nPoster 149: Solving Phase-Field E
quations in Space-Time: Adaptive Space-Time Meshes and Stabilized Variatio
nal Formulations\n\nSaurabh, Khara, Fernando, Ishii, Sundar...\n\nWe seek
to efficiently solve a generalized class of partial differential equations
called the phase-field equations. These non-linear PDE’s model phase tran
sition (solidification, melting, phase-separation) phenomena which exhibit
spatially and temporally localized regions of steep gradients. We conside
r time as an additional dimension and simultaneously solve for the unknown
in large blocks of time (i.e. in space-time), instead of the standard app
roach of sequential time-stepping. We use variational multiscale (VMS) ba
sed finite element approach to solve the ensuing space-time equations. Thi
s allows us to (a) exploit parallelism not only in space but also in time,
(b) gain high order accuracy in time, and (c) exploit adaptive refinement
approaches to locally refine region of interest in both space and time. W
e illustrate this approach with several canonical problems including melti
ng and solidification of complex snow flake structures.\n\nRegistration Ca
tegory: Tech Program Reg Pass, Exhibits Reg Pass, Exhibits - Exhibit Hall
Only Reg Pass
URL:https://sc19.supercomputing.org/presentation/?id=rpost230&sess=sess348
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