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DTSTAMP:20181221T160728Z
LOCATION:D161
DTSTART;TZID=America/Chicago:20181112T115000
DTEND;TZID=America/Chicago:20181112T121000
UID:submissions.supercomputing.org_SC18_sess158_ws_lasalss105@linklings.co
m
SUMMARY:Communication Avoiding Multigrid Preconditioned Conjugate Gradient
Method for Extreme Scale Multiphase CFD Simulations
DESCRIPTION:Workshop\nAlgorithms, Heterogeneous Systems, Resiliency, Works
hop Reg Pass\n\nCommunication Avoiding Multigrid Preconditioned Conjugate
Gradient Method for Extreme Scale Multiphase CFD Simulations\n\nIdomura, I
na, Yamashita, Onodera, Yamada...\n\nA communication avoiding (CA) multigr
id preconditioned conjugate gradient method (CAMGCG) is applied to the pr
essure Poisson equation in a multiphase CFD code JUPITER, and its computat
ional performance and convergence property are compared against CA Krylov
methods. A new geometric multigrid preconditioner is developed using a pre
conditioned Chebyshev iteration smoother, in which no global reduction com
munication is needed, halo data communication is reduced by a mixed precis
ion approach, and eigenvalues are computed using the CA Lanczos method. Th
e CAMGCG solver has robust convergence properties regardless of the proble
m size, and shows both communication reduction and convergence improvement
, leading to higher performance gain than CA Krylov solvers, which achieve
only the former. The CAMGCG solver is applied to extreme scale multiphase
CFD simulations with ~90 billion DOFs, and it is shown that compared with
a preconditioned CG solver, the number of iterations, and thus, All\_Redu
ce is reduced to ~1/800, and ~11.6x speedup is achieved with keeping excel
lent strong scaling up to 8,000 KNLs on the Oakforest-PACS.
URL:https://sc18.supercomputing.org/presentation/?id=ws_lasalss105&sess=se
ss158
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