Download or read book Efficient and Scalable Simulation of Solids and Fluids written by Jonathan Bernard Su and published by Stanford University. This book was released on 2011 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis considers the numerical simulation of rigid and deformable bodies, as well as compressible fluids. We consider each of these types of simulations independently, and in particular we focus on what it takes to make these simulations both efficient and scalable. First, we develop a robust parallelized method for simulating cloth and we demonstrate simulations consisting of up to 2 million triangles. This added level of detail allows us to achieve high detailed folds and wrinkles. We propose a robust history-based repulsion/collision framework where repulsions are treated accurately and efficiently on a per time step basis. Distributed memory parallelism is used for both time evolution and collisions and we specifically address Gauss-Seidel ordering of repulsion/collision response. Next, we propose a method for alleviating the stringent CFL condition imposed by the sound speed in simulating inviscid compressible flow with shocks, contacts and rarefactions. Our method is based on the pressure evolution equation, so it works for arbitrary equations of state, chemical species, etc. The relaxed CFL condition allows us to simulate shocks, contacts and rarefactions accurately while taking much larger time steps than before. Then, we turn to the simulation of rigid bodies, where we present an algorithm for conserving energy and momentum when advancing rigid body orientations. Furthermore, we develop a technique for clamping energy gain during contact and collisions. Together, these methods allow us to prevent energy increase during rigid body simulations, regardless of the time step size. This allows us to reduce the computation needed while still producing stable and physically plausible simulations. We also introduce a technique for fast and realistic fracture of rigid bodies using a novel collision-centered prescoring algorithm. Finally, we extend the use of energy preservation techniques to the simulation of deformable bodies, again with the goal of reducing the cost of these simulations. We propose a new spring that, in one spatial dimension, gives the exact solution regardless of the size of the time step chosen. In multiple spatial dimensions, the problem becomes nonlinear because the direction of the spring changes over time, and thus we propose an iterative approach. Then, we consider the simulation of more complicated elements such as triangles, tetrahedra, and finally full meshes and propose a novel technique that allows us to cut the iterative approach short and instead apply a final correction globally to the mesh.

Download or read book Efficient and Scalable Simulation of Solids and Fluids written by Jonathan Bernard Su and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis considers the numerical simulation of rigid and deformable bodies, as well as compressible fluids. We consider each of these types of simulations independently, and in particular we focus on what it takes to make these simulations both efficient and scalable. First, we develop a robust parallelized method for simulating cloth and we demonstrate simulations consisting of up to 2 million triangles. This added level of detail allows us to achieve high detailed folds and wrinkles. We propose a robust history-based repulsion/collision framework where repulsions are treated accurately and efficiently on a per time step basis. Distributed memory parallelism is used for both time evolution and collisions and we specifically address Gauss-Seidel ordering of repulsion/collision response. Next, we propose a method for alleviating the stringent CFL condition imposed by the sound speed in simulating inviscid compressible flow with shocks, contacts and rarefactions. Our method is based on the pressure evolution equation, so it works for arbitrary equations of state, chemical species, etc. The relaxed CFL condition allows us to simulate shocks, contacts and rarefactions accurately while taking much larger time steps than before. Then, we turn to the simulation of rigid bodies, where we present an algorithm for conserving energy and momentum when advancing rigid body orientations. Furthermore, we develop a technique for clamping energy gain during contact and collisions. Together, these methods allow us to prevent energy increase during rigid body simulations, regardless of the time step size. This allows us to reduce the computation needed while still producing stable and physically plausible simulations. We also introduce a technique for fast and realistic fracture of rigid bodies using a novel collision-centered prescoring algorithm. Finally, we extend the use of energy preservation techniques to the simulation of deformable bodies, again with the goal of reducing the cost of these simulations. We propose a new spring that, in one spatial dimension, gives the exact solution regardless of the size of the time step chosen. In multiple spatial dimensions, the problem becomes nonlinear because the direction of the spring changes over time, and thus we propose an iterative approach. Then, we consider the simulation of more complicated elements such as triangles, tetrahedra, and finally full meshes and propose a novel technique that allows us to cut the iterative approach short and instead apply a final correction globally to the mesh.

Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Oliver Steinhauser and published by Springer Science & Business Media. This book was released on 2008 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.

Download or read book Computational Multiscale Modeling of Fluids and Solids written by Martin Steinhauser and published by Springer. This book was released on 2009-09-02 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devastatingly simple, yet hugely effective, the concept of this timely text is to provide a comprehensive overview of computational physics methods and techniques used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length scale. The book includes the micro scale, the meso-scale and the macro scale.

Download or read book Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids written by Laura De Lorenzis and published by Springer Nature. This book was released on 2020-02-08 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.

Download or read book International Workshop on Fluid Structure Interaction Theory Numerics and Applications written by Stefan Hartmann and published by kassel university press GmbH. This book was released on 2009 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Download or read book Computational Methods for Solids and Fluids written by Adnan Ibrahimbegovic and published by Springer. This book was released on 2019-03-14 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the best papers presented at the 2nd ECCOMAS International Conference on Multiscale Computations for Solids and Fluids, held June 10-12, 2015. Topics dealt with include multiscale strategy for efficient development of scientific software for large-scale computations, coupled probability-nonlinear-mechanics problems and solution methods, and modern mathematical and computational setting for multi-phase flows and fluid-structure interaction. The papers consist of contributions by six experts who taught short courses prior to the conference, along with several selected articles from other participants dealing with complementary issues, covering both solid mechanics and applied mathematics.

Download or read book Simulation of Liquids and Solids written by Giovanni Ciccotti and published by North Holland. This book was released on 1987 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Fluid Dynamics written by Adela Ionescu and published by BoD – Books on Demand. This book was released on 2018-02-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a careful selection of contributors in the field of CFD. It is divided into three sections according to the purpose and approaches used in the development of the contributions. The first section describes the "high-performance computing" (HPC) tools and their impact on CFD modeling. The second section is dedicated to "CFD models for local and large-scale industrial phenomena." Two types of approaches are basically contained here: one concerns the adaptation from global to local scale, - e.g., the applications of CFD to study the climate changes and the adaptations to local scale. The second approach, very challenging, is the multiscale analysis. The third section is devoted to "CFD in numerical modeling approach for experimental cases." Its chapters emphasize on the numerical approach of the mathematical models associated to few experimental (industrial) cases. Here, the impact and the importance of the mathematical modeling in CFD are focused on. It is expected that the collection of these chapters will enrich the state of the art in the CFD domain and its applications in a lot of fields. This collection proves that CFD is a highly interdisciplinary research area, which lies at the interface of physics, engineering, applied mathematics, and computer science.

Download or read book Exascale Scientific Applications written by Tjerk P. Straatsma and published by CRC Press. This book was released on 2017-11-13 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes practical programming approaches for scientific applications on exascale computer systems Presents strategies to make applications performance portable Provides specific solutions employed in current application porting and development Illustrates domain science software development strategies based on projected trends in supercomputing technology and architectures Includes contributions from leading experts involved in the development and porting of scientific codes for current and future high performance computing resources

Download or read book Computational Fluid and Solid Mechanics written by Klaus-Jürgen Bathe and published by Elsevier Science Limited. This book was released on 2001 with total page 1702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations. The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly. This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.

Download or read book Efficient Simulation of Fluids written by Lilian Aveneau and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid simulation is based on Navier-Stokes equations. Efficient simulation codes may rely on the smooth particle hydrodynamic toolbox (SPH), a method that uses kernel density estimation. Many variants of SPH have been proposed to optimize the simulation, like implicit incompressible SPH (IISPH) or predictive-corrective incompressible SPH (PC-ISPH). This chapter recalls the formulation of SPH and focuses on its effective parallel implementation using the Nvidia common unified device architecture (CUDA), while message passing interface (MPI) is another option. The key to effective implementation is a dedicated accelerating structure, and therefore some well-chosen parallel design patterns are detailed. Using a rough model of the ocean, this type of simulation can be used directly to simulate a tsunami resulting from an underwater earthquake.

Download or read book Fluid Simulation for Computer Graphics written by Robert Bridson and published by CRC Press. This book was released on 2015-09-18 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical introduction, the second edition of Fluid Simulation for Computer Graphics shows you how to animate fully three-dimensional incompressible flow. It covers all the aspects of fluid simulation, from the mathematics and algorithms to implementation, while making revisions and updates to reflect changes in the field since the first edition. Highlights of the Second Edition New chapters on level sets and vortex methods Emphasizes hybrid particle–voxel methods, now the industry standard approach Covers the latest algorithms and techniques, including: fluid surface reconstruction from particles; accurate, viscous free surfaces for buckling, coiling, and rotating liquids; and enhanced turbulence for smoke animation Adds new discussions on meshing, particles, and vortex methods The book changes the order of topics as they appeared in the first edition to make more sense when reading the first time through. It also contains several updates by distilling author Robert Bridson’s experience in the visual effects industry to highlight the most important points in fluid simulation. It gives you an understanding of how the components of fluid simulation work as well as the tools for creating your own animations.

Download or read book Software for Exascale Computing SPPEXA 2016 2019 written by Hans-Joachim Bungartz and published by Springer Nature. This book was released on 2020-07-30 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. 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 book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Download or read book Sustained Simulation Performance 2014 written by Michael M. Resch and published by Springer. This book was released on 2014-11-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in high-performance computing and simulation on modern supercomputer architectures. It covers trends in hardware and software development in general and the future of high-performance systems and heterogeneous architectures in particular. The application-related contributions cover computational fluid dynamics, material science, medical applications and climate research; innovative fields such as coupled multi-physics and multi-scale simulations are highlighted. All papers were chosen from presentations given at the 18th Workshop on Sustained Simulation Performance held at the HLRS, University of Stuttgart, Germany in October 2013 and subsequent Workshop of the same name held at Tohoku University in March 2014.

Download or read book Liquid Crystals and their Computer Simulations written by Claudio Zannoni and published by Cambridge University Press. This book was released on 2022-07-28 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to liquid crystals and their computer simulations suitable for students, researchers and industrial scientists.