Download or read book A Parallel Algorithm for Solving Multidimensional Navier Stokes Equations written by Katsuji Usui and published by . This book was released on 1994 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Design and Implementation of a Multi block Parallel Algorithm for Solving Navier Stokes Equations on Structured Grids written by Nirmal Tatavalli Mittadar and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A coarse-grain parallel multi-block algorithm was designed for CHEQNS - a multi-block solver for solving chemically reacting flows in local chemical equilibrium and has been implemented using the Message Passing Interface (MPI). The parallel implementation confirms to the Single Program Multiple Data (SPMD) model. The parallel implementation uses synchronous update of fluxes across the block-block boundaries. The solution algorithm consists of block-decoupled Gauss-Seidel iterations. The coupling between the sub-domains on different processors occurs at the Newton iteration level. The parallel implementation is general and can accept an arbitrary arrangement of blocks in multi-block configuration with multiple blocks per processor. The parallel implementation has been verified against the results from the sequential multi-block solver for different types of flows. The parallel performance has been studied in terms of speed-up and efficiency. The influence of parallelization on the convergence was also studied.
Download or read book DESIGN AND IMPLEMENTATION OF A MULTI BLOCK PARALLEL ALGORITHM FOR SOLVING NAVIER STOKES EQUATIONS ON STRUCTURED GRIDS written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A coarse-grain parallel multi-block algorithm was designed for CHEQNS - a multi-block solver for solving chemically reacting flows in local chemical equilibrium and has been implemented using the Message Passing Interface (MPI). The parallel implementation confirms to the Single Program Multiple Data (SPMD) model. The parallel implementation uses synchronous update of fluxes across the block-block boundaries. The solution algorithm consists of block-decoupled Gauss-Seidel iterations. The coupling between the sub-domains on different processors occurs at the Newton iteration level. The parallel implementation is general and can accept an arbitrary arrangement of blocks in multi-block configuration with multiple blocks per processor. The parallel implementation has been verified against the results from the sequential multi-block solver for different types of flows. The parallel performance has been studied in terms of speed-up and efficiency. The influence of parallelization on the convergence was also studied.
Download or read book Implementation and Analysis of a Navier Stokes Algorithm on Parallel Computers written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-19 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The results of the implementation of a Navier-Stokes algorithm on three parallel/vector computers are presented. The object of this research is to determine how well, or poorly, a single numerical algorithm would map onto three different architectures. The algorithm is a compact difference scheme for the solution of the incompressible, two-dimensional, time-dependent Navier-Stokes equations. The computers were chosen so as to encompass a variety of architectures. They are the following: the MPP, an SIMD machine with 16K bit serial processors; Flex/32, an MIMD machine with 20 processors; and Cray/2. The implementation of the algorithm is discussed in relation to these architectures and measures of the performance on each machine are given. The basic comparison is among SIMD instruction parallelism on the MPP, MIMD process parallelism on the Flex/32, and vectorization of a serial code on the Cray/2. Simple performance models are used to describe the performance. These models highlight the bottlenecks and limiting factors for this algorithm on these architectures. Finally, conclusions are presented. Fatoohi, Raad A. and Grosch, Chester E. Langley Research Center NAS1-18107; RTOP 505-90-21-01...
Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-09-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Download or read book Parallel Solution of Partial Differential Equations written by Petter Bjorstad and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PARALLEL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING." I would like to thank Petter Bj0rstad of the Institutt for Informatikk, University of Bergen and Mitchell Luskin of the School of Mathematics, University of Minnesota for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr., Professor and Director v PREFACE The numerical solution of partial differential equations has been of major importance to the development of many technologies and has been the target of much of the development of parallel computer hardware and software. Parallel computers offer the promise of greatly increased perfor mance and the routine calculation of previously intractable problems. The papers in this volume were presented at the IMA workshop on the Paral lel Solution of PDE held during June 9-13, 1997. The workshop brought together leading numerical analysts, computer scientists, and engineers to assess the state-of-the-art and to consider future directions.
Download or read book Development of a Navier Stokes Algorithm for Parallel processing Supercomputers written by Julie M. Swisshelm and published by . This book was released on 1989 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Parallel Algorithm for the Navier Stokes Equations in a Driven Cavity written by C. S. Gwilliam and published by . This book was released on 1990 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solution of the Multidimensional Compressible Navier Stokes Equations by a Generalized Implicit Method written by and published by . This book was released on 1976 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an effort to exploit the favorable stability properties of implicit methods and thereby increase computational efficiency by taking large time steps, an implicit finite-difference method for the multidimensional Navier-Stokes equations is presented. The method consists of a generalized implicit scheme which has been linearized by Taylor expansion about the solution at the known time level to produce a set of coupled linear difference equations which are valid for a given time step. To solve these difference equations, the Douglas-Gunn procedure for generating alternating-direction implicit (ADI) schemes as perturbations of fundamental implicit difference schemes is employed. The resulting sequence of narrow block-banded systems can be solved efficiently by standard block-elimination methods. The method is a one-step method, as opposed to a predictor-corrector method, and requires no iteration to compute the solution for a single time step. The use of both second and fourth order spatial differencing is discussed. Test calculations are presented for a three- dimensional application to subsonic flow in a straight duct with rectangular cross section.
Download or read book Implementation and Analysis of a Navier Stokes Algorithm on Parallel Computers written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1988 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Computational Fluid Dynamics 2002 written by K. Matsuno and published by Elsevier. This book was released on 2003-04-25 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is proceedings of the international conference of the Parallel Computational Fluid Dynamics 2002. In the volume, up-to-date information about numerical simulations of flows using parallel computers is given by leading researchers in this field. Special topics are "Grid Computing" and "Earth Simulator". Grid computing is now the most exciting topic in computer science. An invited paper on grid computing is presented in the volume. The Earth-Simulator is now the fastest computer in the world. Papers on flow-simulations using the Earth-Simulator are also included, as well as a thirty-two page special tutorial article on numerical optimization.
Download or read book Computational Fluid Dynamics 2000 written by Nobuyuki Satofuka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain a selection of refereed contributions as a source of reference for all those interested in the state of the art in computational fluid dynamics. The conference brings together physicists, mathematicians and engineers to review and share recent advances in the field.
Download or read book A Parallel High order Implicit Algorithm for Compressible Navier Stokes Equations written by Haibo Dong and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numerical Methods in Multidimensional Radiative Transfer written by Guido Kanschat and published by Springer Science & Business Media. This book was released on 2008-12-24 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the ana- gous equations of neutron transport. In recent years, applications of radiative transferincombustionmachinedesignandinmedicinebecamemoreandmore important. In all these disciplines one uses the radiative transfer equation to model the formation of the radiation ?eld and its propagation. For slabs and spheres e?ective algorithms for the solution of the transfer equation have been ava- able for quite some time. In addition, the analysis of the equation is quite well developed. Unfortunately, in many modern applications the approximation of a 1D geometry is no longer adequate and one has to consider the full 3D dependencies. This makes the modeling immensely more intricate. The main reasons for the di?culties result from the fact that not only the dimension of the geometric space has to be increased but one also has to employ two angle variables (instead of one) and very often one has to consider frequency coupling (due to motion or redistribution in spectral lines). In actual cal- lations this leads to extremely large matrices which, in addition, are usually badly conditioned and therefore require special care. Analytical solutions are not available except for very special cases. Although radiative transfer problems are interesting also from a ma- ematical point of view, mathematicians have largely neglected the transfer equation for a long time.
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Parallel Computing written by Bo Kagström and published by Springer. This book was released on 2007-09-22 with total page 1218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Applied Parallel Computing, PARA 2006. It covers partial differential equations, parallel scientific computing algorithms, linear algebra, simulation environments, algorithms and applications for blue gene/L, scientific computing tools and applications, parallel search algorithms, peer-to-peer computing, mobility and security, algorithms for single-chip multiprocessors.
