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A Scalable Parallel Multigrid Solver For Three Dimensional Adaptive Mesh Structural Analysis
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Book Synopsis A Scalable Parallel Multigrid Solver for Three Dimensional Adaptive Mesh Structural Analysis by : Nathan Karl Crane
Download or read book A Scalable Parallel Multigrid Solver for Three Dimensional Adaptive Mesh Structural Analysis written by Nathan Karl Crane and published by . This book was released on 2002 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallelization of an Adaptive Multigrid Algorithm for Fast Solution of Finite Element Structural Problems by :
Download or read book Parallelization of an Adaptive Multigrid Algorithm for Fast Solution of Finite Element Structural Problems written by and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive mesh refinement selectively subdivides the elements of a coarse user supplied mesh to produce a fine mesh with reduced discretization error. Effective use of adaptive mesh refinement coupled with an a posteriori error estimator can produce a mesh that solves a problem to a given discretization error using far fewer elements than uniform refinement. A geometric multigrid solver uses increasingly finer discretizations of the same geometry to produce a very fast and numerically scalable solution to a set of linear equations. Adaptive mesh refinement is a natural method for creating the different meshes required by the multigrid solver. This paper describes the implementation of a scalable adaptive multigrid method on a distributed memory parallel computer. Results are presented that demonstrate the parallel performance of the methodology by solving a linear elastic rocket fuel deformation problem on an SGI Origin 3000. Two challenges must be met when implementing adaptive multigrid algorithms on massively parallel computing platforms. First, although the fine mesh for which the solution is desired may be large and scaled to the number of processors, the multigrid algorithm must also operate on much smaller fixed-size data sets on the coarse levels. Second, the mesh must be repartitioned as it is adapted to maintain good load balancing. In an adaptive multigrid algorithm, separate mesh levels may require separate partitioning, further complicating the load balance problem. This paper shows that, when the proper optimizations are made, parallel adaptive multigrid algorithms perform well on machines with several hundreds of processors.
Book Synopsis Three-dimensional High-lift Analysis Using a Parallel Unstructured Multigrid Solver by : Dimitri J. Mavriplis
Download or read book Three-dimensional High-lift Analysis Using a Parallel Unstructured Multigrid Solver written by Dimitri J. Mavriplis and published by . This book was released on 1998 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Advanced Computational Infrastructures for Parallel and Distributed Adaptive Applications by : Manish Parashar
Download or read book Advanced Computational Infrastructures for Parallel and Distributed Adaptive Applications written by Manish Parashar and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique investigation of the state of the art in design, architectures, and implementations of advanced computational infrastructures and the applications they support Emerging large-scale adaptive scientific and engineering applications are requiring an increasing amount of computing and storage resources to provide new insights into complex systems. Due to their runtime adaptivity, these applications exhibit complicated behaviors that are highly dynamic, heterogeneous, and unpredictable—and therefore require full-fledged computational infrastructure support for problem solving, runtime management, and dynamic partitioning/balancing. This book presents a comprehensive study of the design, architecture, and implementation of advanced computational infrastructures as well as the adaptive applications developed and deployed using these infrastructures from different perspectives, including system architects, software engineers, computational scientists, and application scientists. Providing insights into recent research efforts and projects, the authors include descriptions and experiences pertaining to the realistic modeling of adaptive applications on parallel and distributed systems. The first part of the book focuses on high-performance adaptive scientific applications and includes chapters that describe high-impact, real-world application scenarios in order to motivate the need for advanced computational engines as well as to outline their requirements. The second part identifies popular and widely used adaptive computational infrastructures. The third part focuses on the more specific partitioning and runtime management schemes underlying these computational toolkits. Presents representative problem-solving environments and infrastructures, runtime management strategies, partitioning and decomposition methods, and adaptive and dynamic applications Provides a unique collection of selected solutions and infrastructures that have significant impact with sufficient introductory materials Includes descriptions and experiences pertaining to the realistic modeling of adaptive applications on parallel and distributed systems The cross-disciplinary approach of this reference delivers a comprehensive discussion of the requirements, design challenges, underlying design philosophies, architectures, and implementation/deployment details of advanced computational infrastructures. It makes it a valuable resource for advanced courses in computational science and software/systems engineering for senior undergraduate and graduate students, as well as for computational and computer scientists, software developers, and other industry professionals.
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1995 with total page 1482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American Doctoral Dissertations by :
Download or read book American Doctoral Dissertations written by and published by . This book was released on 2002 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applied Computational Fluid Dynamics Techniques by : Rainald Löhner
Download or read book Applied Computational Fluid Dynamics Techniques written by Rainald Löhner and published by John Wiley & Sons. This book was released on 2001-08-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics, and CFD techniques are commonly used in many areas of engineering where fluid behavior is a factor. This book covers the range of topics required for a thorough study and understanding of CFD.
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1995 with total page 1484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Performance of Some Multigrid Solvers for Three-dimensional Parabolic Equations by : Michael Holst
Download or read book Parallel Performance of Some Multigrid Solvers for Three-dimensional Parabolic Equations written by Michael Holst and published by . This book was released on 1991 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine the effect of the step size on the convergence rates of multigrid, and present results of experiments on two parallel architectures: a four processor Cray Y-MP and a fourteen processor Alliant FX/2800. Our results demonstrate that multigrid can achieve very high parallel efficiency on coarse-grained shared memory machines, and that explicit methods are not likely to be competitive with multigrid based implicit methods on such machines."
Book Synopsis An Efficient Parallel Multigrid Solver for 3-D Convection-dominated Problems by : Ignacio M. Llorente
Download or read book An Efficient Parallel Multigrid Solver for 3-D Convection-dominated Problems written by Ignacio M. Llorente and published by . This book was released on 2000 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid algorithms are known to be highly efficient in solving systems of elliptic equations. However, standard multi grid algorithms fail to achieve optimal grid-independent convergence rates in solving non-elliptic problems. In many practical cases, the non-elliptic part of a problem is represented by the convection operator. Downstream marching, when it is viable, is the simplest and most efficient way to solve this operator. However, in a parallel setting, the sequential nature of marching degrades the efficiency of the algorithm. The aim of this report is to present, evaluate and analyze an alternative highly parallel multi grid method for 3-D convection-dominated problems. This method employs semi coarsening, a four-color plane-implicit smoother, and discretization rules allowing the same cross-characteristic interactions on all the grids involved to be maintained. The resulting multigrid solver exhibits a fast grid-independent convergence rate for solving the convection-diffusion operator on cell-centered grids with stretching. The load imbalance below the critical level is the main source of inefficiency in its parallel implementation. A hybrid smoother that degrades the convergence properties of the method but improves its granularity has been found to be the best choice in a parallel setting. The numerical and parallel properties of the multi grid algorithm with the four-color and hybrid smoothers are studied on SGI Origin 2000 and Cray T3E systems.
Book Synopsis Software for Exascale Computing - SPPEXA 2013-2015 by : Hans-Joachim Bungartz
Download or read book Software for Exascale Computing - SPPEXA 2013-2015 written by Hans-Joachim Bungartz and published by Springer. This book was released on 2016-09-14 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards exascale computing. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The collection thereby highlights pioneering research findings as well as innovative concepts in exascale software development that have been conducted under the umbrella of the priority programme "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) and that have been presented at the SPPEXA Symposium, Jan 25-27 2016, in Munich. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.
Book Synopsis A Geometric Approach to Parallel Hierarchical and Adaptive Computing on Unstructured Meshes by : Shang-Hua Teng
Download or read book A Geometric Approach to Parallel Hierarchical and Adaptive Computing on Unstructured Meshes written by Shang-Hua Teng and published by . This book was released on 1994 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "The use of well-shaped unstructured meshes is essential for three dimensional applications with complex geometries or whose solution changes rapidly. Computationally, both hierarchical and adaptive methods perform an iterative computation over a series of unstructured meshes and use interpolation or restriction to transform partial solutions from mesh to mesh. The effectiveness of parallel hierarchical and adaptive computing rely on an efficient and scalable parallel solution to a set of key algorithmic problems such as mesh generation, graph partitioning, mesh coarsening, adaptive refinement, unstructured interpolation, sparse linear system solving and many other problems that they subsequently creat [sic]. This paper proposes a unified approach to solve these problems simultaneously. Our approach exploits the geometric structure of the problem and has application to multigrid (MG) and domain decomposition (DD) on unstructured meshes. Its kernel is the geometric mesh partitioner developed by Miller, Teng, Thurston and Vavasis. Our 3D algorithm has the same simplicity as a 2D algorithm."
Book Synopsis Parallel Computation of Three-Dimensional Flows Using Overlapping Grids with Adaptive Mesh Refinement by :
Download or read book Parallel Computation of Three-Dimensional Flows Using Overlapping Grids with Adaptive Mesh Refinement written by and published by . This book was released on 2007 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper describes an approach for the numerical solution of time-dependent partial differential equations in complex three-dimensional domains. The domains are represented by overlapping structured grids, and block-structured adaptive mesh refinement (AMR) is employed to locally increase the grid resolution. In addition, the numerical method is implemented on parallel distributed-memory computers using a domain-decomposition approach. The implementation is flexible so that each base grid within the overlapping grid structure and its associated refinement grids can be independently partitioned over a chosen set of processors. A modified bin-packing algorithm is used to specify the partition for each grid so that the computational work is evenly distributed amongst the processors. All components of the AMR algorithm such as error estimation, regridding, and interpolation are performed in parallel. The parallel time-stepping algorithm is illustrated for initial-boundary-value problems involving a linear advection-diffusion equation and the (nonlinear) reactive Euler equations. Numerical results are presented for both equations to demonstrate the accuracy and correctness of the parallel approach. Exact solutions of the advection-diffusion equation are constructed, and these are used to check the corresponding numerical solutions for a variety of tests involving different overlapping grids, different numbers of refinement levels and refinement ratios, and different numbers of processors. The problem of planar shock diffraction by a sphere is considered as an illustration of the numerical approach for the Euler equations, and a problem involving the initiation of a detonation from a hot spot in a T-shaped pipe is considered to demonstrate the numerical approach for the reactive case. For both problems, the solutions are shown to be well resolved on the finest grid. The parallel performance of the approach is examined in detail for the shock diffraction problem.
Book Synopsis From Parallel to Emergent Computing by : Andrew Adamatzky
Download or read book From Parallel to Emergent Computing written by Andrew Adamatzky and published by CRC Press. This book was released on 2019-03-13 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computing relies on future and emergent technologies which have been conceived via interaction between computer science, engineering, chemistry, physics and biology. This highly interdisciplinary book presents advances in the fields of parallel, distributed and emergent information processing and computation. The book represents major breakthroughs in parallel quantum protocols, elastic cloud servers, structural properties of interconnection networks, internet of things, morphogenetic collective systems, swarm intelligence and cellular automata, unconventionality in parallel computation, algorithmic information dynamics, localized DNA computation, graph-based cryptography, slime mold inspired nano-electronics and cytoskeleton computers. Features Truly interdisciplinary, spanning computer science, electronics, mathematics and biology Covers widely popular topics of future and emergent computing technologies, cloud computing, parallel computing, DNA computation, security and network analysis, cryptography, and theoretical computer science Provides unique chapters written by top experts in theoretical and applied computer science, information processing and engineering From Parallel to Emergent Computing provides a visionary statement on how computing will advance in the next 25 years and what new fields of science will be involved in computing engineering. This book is a valuable resource for computer scientists working today, and in years to come.
Book Synopsis A Three Dimensional Adaptive Mesh Generation Program for Finite Element Analysis by : Yuli Huang
Download or read book A Three Dimensional Adaptive Mesh Generation Program for Finite Element Analysis written by Yuli Huang and published by . This book was released on 1989 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids by : Manuel Prieto
Download or read book A Parallel Multigrid Solver for Viscous Flows on Anisotropic Structured Grids written by Manuel Prieto and published by . This book was released on 2001 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper presents an efficient parallel multigrid solver for speeding up the computation of a 3-D model that treats the flow of a viscous fluid over a flat plate. The main interest of this simulation lies in exhibiting some basic difficulties that prevent optimal multigrid efficiencies from being achieved. As the computing platform, we have used Coral, a Beowulf-class system based on Intel Pentium processors and equipped with GigaNet cLAN and switched Fast Ethernet networks. Our study not only examines the scalability of the solver but also includes a performance evaluation of Coral where the investigated solver has been used to compare several of its design choices, namely, the interconnection network (GigaNet versus switched Fast-Ethernet) and the node configuration (dual nodes versus single nodes). As a reference, the performance results have been compared with those obtained with the NAS-MG benchmark."
