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A Parallel Incompressible Flow Solver Package with a Parallel Multigrid Elliptic Kernel

John Z. Lou, Robert Ferraro
1996 Journal of Computational Physics  
A parallel time-dependent incompressible flow solver and a parallel multigrid elliptic kernel are described.  ...  Both the multigrid elliptic kernel and the flow solver scale very well to a large number of processors on the Intel Paragon and the Cray T3D for computations with moderate granularity.  ...  This work was carried out at the Jet Propulsion Laboratory (JPL), California Institute of Technology (Caltech), under a contract with the National Aeronautics and Space Administration (NASA) and as a part  ... 
doi:10.1006/jcph.1996.0090 fatcat:wugxjvupcngwbkdokhnnx2rd7y

A parallel incompressible flow solver package with a parallel multigrid elliptic kernel

John Z. Lou, Robert D. Ferraro
1995 Proceedings of the 1995 ACM/IEEE conference on Supercomputing (CDROM) - Supercomputing '95  
A parallel time-dependent incompressible flow solver and a parallel multigrid elliptic kernel are described.  ...  Both the multigrid elliptic kernel and the flow solver scale very well to a large number of processors on the Intel Paragon and the Cray T3D for computations with moderate granularity.  ...  This work was carried out at the Jet Propulsion Laboratory (JPL), California Institute of Technology (Caltech), under a contract with the National Aeronautics and Space Administration (NASA) and as a part  ... 
doi:10.1145/224170.224406 dblp:conf/sc/LouF95 fatcat:ahargficdrbirmgkv4tdd46wha

Page 7050 of Mathematical Reviews Vol. , Issue 96k [page]

1996 Mathematical Reviews  
with a parallel multigrid elliptic kernel.  ...  Summary: “The development and applications of a parallel, time- dependent incompressible Navier-Stokes flow solver and a parallel multigrid elliptic kernel are described.  ... 

FEAST-realization of hardware-oriented numerics for HPC simulations with finite elements

Stefan Turek, Dominik Göddeke, Christian Becker, Sven H. M. Buijssen, Hilmar Wobker
2010 Concurrency and Computation  
FEAST (Finite Element Analysis & Solutions Tools) is a Finite Element based solver toolkit for the simulation of PDE problems on parallel HPC systems which implements the concept of 'hardware-oriented  ...  numerics', a holistic approach aiming at optimal performance for modern numerics.  ...  ACKLOWLEDGEMENTS Parts of this work are based on a joint collaboration with Robert Strzodka (Max Planck Center), and Patrick McCormick and Jamaludin Mohd-Yusof (Los Alamos National Laboratory).  ... 
doi:10.1002/cpe.1584 fatcat:6omy4woanrbn7dqigs3q4ql5hq

Fast Multipole Preconditioners for Sparse Matrices Arising from Elliptic Equations [article]

Huda Ibeid, Rio Yokota, Jennifer Pestana, David Keyes
2016 arXiv   pre-print
We demonstrate that, beyond its traditional use as a solver in problems for which explicit free-space kernel representations are available, the FMM has applicability as a preconditioner in finite domain  ...  elliptic boundary value problems, by equipping it with boundary integral capability for satisfying conditions at finite boundaries and by wrapping it in a Krylov method for extensibility to more general  ...  Acknowledgements The authors would like to acknowledge the open source software packages that made this work possible: PETSc [4, 5] , PetIGA [49] and IFISS [21, 57] .  ... 
arXiv:1308.3339v4 fatcat:skniridmdvfolbfpbwhga3wnl4

Fast multipole preconditioners for sparse matrices arising from elliptic equations

Huda Ibeid, Rio Yokota, Jennifer Pestana, David Keyes
2017 Computing and Visualization in Science  
We demonstrate that, beyond its traditional use as a solver in problems for which explicit free-space kernel representations are available, the FMM has applicability as a preconditioner in finite domain  ...  elliptic boundary value problems, by equipping it with boundary integral capability for satisfying conditions at finite boundaries and by wrapping it in a Krylov method for extensibility to more general  ...  Acknowledgements The authors would like to acknowledge the open source software packages that made this work possible: PETSc [5, 6] , PetIGA [55] and IFISS [24, 63] .  ... 
doi:10.1007/s00791-017-0287-5 fatcat:vmacwxjeu5gzpg3euyzfp2rd6a

A parallel block multi-level preconditioner for the 3D incompressible Navier–Stokes equations

Howard C Elman, Victoria E Howle, John N Shadid, Ray S Tuminaro
2003 Journal of Computational Physics  
; we focus on extending these methods to large-scale, parallel, three-dimensional, transient and steady-state simulations employing algebraic multigrid (AMG) methods.  ...  In this context, we explore a parallel preconditioner based on a block factorization of the coefficient matrix generated in an Oseen nonlinear iteration for the primitive variable formulation of the system  ...  This solver is based on an Oseen nonlinear iteration with a multigrid method for the linear subproblems.  ... 
doi:10.1016/s0021-9991(03)00121-9 fatcat:3jclab4abfg7jjdnj5qynq2zpa

Advanced Stencil-Code Engineering (Dagstuhl Seminar 15161)

Christian Lengauer, Matthias Bolten, Robert D. Falgout, Olaf Schenk, Marc Herbstritt
2015 Dagstuhl Reports  
Its aim was to lay the basis for a new interdisciplinary research community on high-performance stencil codes.  ...  The seminar was hosted by the DFG project with the same name (ExaStencils for short) in the DFG priority programme "Software for Exascale Computing" (SPPEXA).  ...  ., in compressible or incompressible flows or when dealing with parabolic or hyperbolic PDEs.  ... 
doi:10.4230/dagrep.5.4.56 dblp:journals/dagstuhl-reports/LengauerBFS15 fatcat:suk5zayvlnb63ozlamrw2vk2w4

A scalable consistent second-order SPH solver for unsteady low Reynolds number flows

Nathaniel Trask, Martin Maxey, Kyungjoo Kim, Mauro Perego, Michael L. Parks, Kai Yang, Jinchao Xu
2015 Computer Methods in Applied Mechanics and Engineering  
We demonstrate that when fast algebraic multigrid preconditioners are used to solve the resulting linear systems, the scheme results in a consistent approximation that is scalable and amenable to parallelization  ...  When used to study unsteady low Reynolds number flow with large dissipation, conservation alone cannot ensure quality of approximation and the traditional approach is inconsistent.  ...  solvers in Trilinos, and Wenxiao Pan at Pacific Northwest National Laboratory for helpful discussions regarding SPH.  ... 
doi:10.1016/j.cma.2014.12.027 fatcat:7fmvdin7v5dtphperqxensnw6y

An extreme-scale implicit solver for complex PDEs

Johann Rudi, Omar Ghattas, A. Cristiano I. Malossi, Tobin Isaac, Georg Stadler, Michael Gurnis, Peter W. J. Staar, Yves Ineichen, Costas Bekas, Alessandro Curioni
2015 Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '15  
The mantle is modeled as a viscous, incompressible, non-Newtonian fluid.  ...  Here we present a new implicit solver that exhibits optimal algorithmic performance and is capable of extreme scaling for hard PDE problems, such as mantle convection.  ...  This result demonstrates a key component of a highly scalable, parallel multigrid implementation.  ... 
doi:10.1145/2807591.2807675 dblp:conf/sc/RudiMISGSIBCG15 fatcat:vqy3ko3x35g4rbxsdbaxrkzine

AMG based on compatible weighted matching for GPUs [article]

Massimo Bernaschi and Pasqua D'Ambra and Dario Pasquini
2018 arXiv   pre-print
We exploit inherent parallelism of modern GPUs in all the kernels involving sparse matrix computations both for the setup of the preconditioner and for its application in a Krylov solver, outperforming  ...  proposed by one of the authors and already available in the open-source package BootCMatch: Bootstrap algebraic multigrid based on Compatible weighted Matching for standard CPU.  ...  More specifically, we focus on main issues and design principles driving a parallel implementation of all the functionalities of the package BootCMatch: Bootstrap algebraic multigrid based on Compatible  ... 
arXiv:1810.04221v1 fatcat:teia7yodgffhbge7ths5pnohxm

A quantitative performance analysis for Stokes solvers at the extreme scale [article]

Björn Gmeiner and Markus Huber and Lorenz John and Ulrich Rüde and Barbara Wohlmuth
2015 arXiv   pre-print
The efficiency of the method is demonstrated for simulating incompressible fluid flow in a pipe filled with spherical obstacles.  ...  A recent extension of this paradigm to "parallel textbook multigrid efficiency" makes it possible to assess also the efficiency of parallel iterative solvers for a given hardware architecture in absolute  ...  As an example we will consider the incompressible fluid flow in a pipe filled with spherical obstacles, similar to a packed bed, see, e.g., [9, 37, 39] .  ... 
arXiv:1511.02134v1 fatcat:ilorgjuqqjg3ddruso7shcvjnu

PETSc4FOAM: a library to plug-in PETSc into the OpenFOAM framework

Simone Bna, Ivan Spisso, Mark Olesen, Giacomo Rossi
2020 Zenodo  
One of the main bottlenecks for a full enabling of OpenFOAM for massively parallel cluster is the limit in its MPIparallelism paradigm, embodied in the Pstream library, which limits the scalability up  ...  OpenFOAM acts as a major player in the Open Source CFD arena, due to its flexibility, but its complexity also makes it more difficult to correctly define performance figure and scaling.  ...  Duran et. al [39] studied bio-medical fluid flow simulation by embedding the incompressible, laminar solver icoFoam with other direct solvers (kernel class) such as SuperLU DIST 3.3 and SuperLU MCDT  ... 
doi:10.5281/zenodo.3923779 fatcat:y3oprbj72vcenorlw7cwyy2wau

Algebraic multigrid methods for constrained linear systems with applications to contact problems in solid mechanics

Mark F. Adams
2004 Numerical Linear Algebra with Applications  
This paper develops a general framework for applying algebraic multigrid techniques to constrained systems of linear algebraic equations that arise in applications with discretized PDEs.  ...  We discuss constraint coarsening strategies for constructing multigrid coarse grid spaces and several classes of multigrid smoothers for these systems.  ...  The solver algorithms are implemented in the linear solver package Prometheus [19] , which is built on the parallel numerical package PETSc [7] .  ... 
doi:10.1002/nla.374 fatcat:korhfe34ibdblkchoikb5h7t2e

A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

Maurice S. Fabien
2020 Communications in Computational Physics  
A standard roofline model demonstrates that our method is utilizing computational resources efficiently, and as such, significant speed ups over a serial implementation are obtained.  ...  TAS is a new performance measure which takes into account the accuracy of the solution.  ...  A. Tapia for directing the XSEDE Scholars Program (2011-2017), as well as A. Weeden and Dr. R. Panoff for fruitful discussions that inspired this manuscript.  ... 
doi:10.4208/cicp.oa-2018-0235 fatcat:3tovcggsxvbp5dy5qfmvjtz5fi
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