Preconditioned implicit solvers for the Navier-Stokes equations on distributed-memory machines

Preconditioned implicit solvers for the Navier-Stokes equations on distributed-memory machines Download PDF EPUB FB2

Get this from a library. Preconditioned implicit solvers for the Navier-Stokes equations on distributed-memory machines. [Kumud Ajmani; Meng-Sing Liou; Rodger W Dyson; United States. National Aeronautics and Space Administration.].

Parallel Solution of the Navier-Stokes Equations on Distributed Memory MIMD Machines. Conference Paper January with 30 Reads How we measure 'reads'. The GMRES method is parallelized, and combined with local preconditioning to construct an implicit parallel solver to obtain steady-state solutions for the Navier-Stokes equations of fluid flow on.

SIAM Journal on Scientific ComputingAA Abstract | PDF ( KB) () A multigrid solver to the Helmholtz equation with a point source based on travel time and by: A method using multigrid and alternating direction implicit (ADI) algorithms is used to solve unsteady 3D incompressible Navier–Stokes equations in velocity-vorticity formulation.

The natural parallelization of these algorithms provides poor performances on distributed memory multiprocessor systems. A parallel preconditioned version of the Bi-CGSTAB method for parallel machines with a large, but not huge, number of processors with high computational power is presented in this chapter.

The solver is applied to the solution of linear systems generated by the discretization of incompressible Navier–Stokes. In Sec. 3 we describe the semi-implicit method used to march the equations in time.

In this section, we discuss in detail the construction of the semi-implicit operators for all five equation sets and describe how to extract the Schur complement that is necessary in order to further increase the efficiency of the semi-implicit models. The preconditioned conjugate gradient (PCG) method is an effective means for solving systems of linear equations where the coefficient matrix is symmetric and positive definite.

A Parallel Preconditioned CG Type Method for Incompressible Navier-Stokes Equations p. Parallel Implicit Navier-Stokes Solver on the Intel Paragon Supercomputer p.

Load Balancing for Parallel Computation of Fluid Dynamics Problems p. Parallelization via Domain Decomposition Techniques of Multigrid and ADI Solvers for Navier-Stokes.

AN IMPLICIT ALGORITHM OF SOLVING NAVIER—STOKES EQUATIONS TO SIMULATE FLOWS IN ANISOTROPIC POROUS MEDIA A.S. Kozelkov, S.V.

Lashkin, V.R. Efremov, K.N. Volkov, Navier ±Stokes equations with Darcy and Forchheimer laws in the right -hand side and with the distributed memory workstations, adaptive grid refinement strategies, and. () Jacobian-free Newton-Krylov method for implicit time-spectral solution of the compressible Navier-Stokes equations.

International Journal for Numerical Methods in Fluids() A choice of forcing terms in inexact Newton iterations with application to pseudo-transient continuation for incompressible fluid flow computations.

American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA Feldman Y and Gelfgat A () On pressure-velocity coupled time-integration of incompressible Navier-Stokes equations using direct inversion of Stokes operator or accelerated multigrid technique, Computers and Structures,(), Online publication date: 1-Jun Smoothers in Coupled Multigrid Methods for the Stokes and Navier-Stokes Equations Contributed November 5, Jung-Ruede Michael Jung and Ulrich Ruede 1.

Implicit Extrapolation Methods for Multilevel Finite Element Computations Theory and Applications Contributed July 1, General Sources of Mathematical Software PORT 3 Subroutine Library ``a collection of Fortran 77 routines that address many traditional areas of mathematical software, including approximation, ordinary and partial differential equations, linear algebra and eigensystems, optimization, quadrature, root finding, special functions, and Fourier transforms, but excluding statistical calculations.

The General Curvilinear Coastal Ocean Model (GCCOM) is a 3D curvilinear, structured-mesh, non-hydrostatic, large-eddy simulation model that is capable of running oceanic simulations. GCCOM is an inherently computationally expensive model: it uses an elliptic solver for the dynamic pressure; meter-scale simulations requiring memory footprints on the order of 10 12 cells and terabytes of output.

This paper presents and analyzes a parareal-in-time scheme for the incompressible non-isothermal Navier–Stokes equations with Boussinesq approximation. Standard finite element method is adopted for the spatial proposed algorithm is proved to be unconditional stability. Solvers for partial differential equations (PDEs) are one of the cornerstones of computational science.

For large problems, they involve huge amounts of data that need to be stored and transmitted on all levels of the memory hierarchy. Often, bandwidth is the limiting factor due to the relatively small arithmetic intensity, and increasingly due to the growing disparity between computing power.

Bibliography R. Abgrall, (), Numerical discretisation of boundary conditions for first order Hamilton Jacobi equations, SIAM Journal on Numerical Analysis. Google Scholar. CRPC-TRS: Automatic Data Layout for Distributed-Memory Machines in the D Programming Environment, Alan Carle, Ken Kennedy, Ulrich Kremer, John Mellor-Crummey February 7 CRPC-TRS: Automatic Data Layout for Distributed-Memory Machines (thesis proposal), Ulrich.

Included solvers include multigrid, conjugate gradient, and domain-decomposition based preconditioned conjugate gradient solvers. The FEM module allows the solution of stationary and nonstationary Poisson equations with mixed boundary conditions, and will soon (5/98) have the capability of solving the Navier-Stokes equations.You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.D.A.

Burgess and M.B. Giles `Renumbering unstructured grids to improve the performance of codes on hierarchical memory machines', Advances in Engineering Software, 28(3), M.B. Giles. `Stability analysis of a Galerkin/Runge-Kutta Navier-Stokes discretisation on .