Download or read book Methods for the Physically Based Simulation of Solids and Fluids written by Geoffrey Irving and published by . This book was released on 2007 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Coupled Simulation of Deformable Solids Rigid Bodies and Fluids with Surface Tension written by Craig Allen Schroeder and published by Stanford University. This book was released on 2011 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis considers the numerical simulation of a variety of phenomena, particularly rigid bodies, deformable bodies, and incompressible fluids. We consider each of these simulations types in isolation, addressing challenges specific to each. We also address the problem of monolithic two-way coupling of each of these phenomena. First we address the stability of rigid body simulation with large time steps. We develop an energy correction for orientation evolution and another correction for collisions. In practice, we have found these two corrections to be sufficient to produce stable simulations. We also explore a simple scheme for rigid body fracture that is as inexpensive as prescoring rigid bodies but more flexible. Next we develop a method for simulating deformable but incompressible solids. Many constitutive models for deforming solids, such as the neo-Hookean model, break down in the incompressible limit. Simply enforcing incompressibility per tetrahedron leads to locking, where the mesh non-physically resists deformation. We present a method that uses a pressure projection similar to what is commonly used to simulate incompressible solids and apply it to deforming solids. We also address the complications that result from the interaction of this new force with contacts and collisions. Then, we turn to two coupling problems. The first problem is to couple deformable bodies to rigid bodies. We develop a fully-unified time integration scheme, where individual steps like collisions and contact are each fully two-way coupled. The resulting coupling scheme is monolithic with fully coupled linear systems. This leads to a robust and strongly coupled simulation framework. We use state-of-the-art integrators for rigid bodies and deformable bodies as the basis for the coupling scheme and maintain the ability to handle other phenomena, such as articulation and controllers on the rigid bodies and incompressibility on the deformable bodies. We follow this up by developing a scheme for coupling solids to incompressible fluids. The method handles both deformable bodies and rigid bodies. Unlike many existing methods for fluid structure interaction, which often typically lead to indefinite linear systems, the developed scheme results in a symmetric and positive definite (SPD) linear system. In addition to strongly coupling solids and fluids, the method also strongly couples viscosity with fluid pressure. This allows it to accurately treat simulations with high viscosity or where the primary coupling between solid and fluid is through fluid viscosity rather than fluid pressure. The method can be interpreted as a means of converting symmetric indefinite KKT systems with a particular form into SPD systems. Finally, we propose a method for applying implicit Lagrangian forces to an Eulerian Navier-Stokes simulation. We utilize the SPD framework to produce an SPD system with these implicit forces. We use this method to apply implicit surface tension forces. This implicit surface tension treatment reduces the tight time step restriction that normally accompanies explicit treatments of surface tension.
Download or read book The Material Point Method for the Physics based Simulation of Solids and Fluids written by Chenfanfu Jiang and published by . This book was released on 2015 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulating fluids and solid materials undergoing large deformation remains an important and challenging problem in Computer Graphics. The dynamics of these materials usually involve dramatic topological changes and therefore require sophisticated numerical approaches to achieve sufficient accuracy and visual realism. This dissertation focuses on the Material Point Method (MPM) for simulating solids and fluids for use in computer animation, and it makes four major contributions: First, we introduce new MPM for simulating viscoelastic fluids, foams and sponges. Our second contribution is to introduce a novel technique designed to retain the stability of the original PIC, without suffering from the noise and instability of FLIP. Our third contribution is to introduce a novel material point method for heat transport, melting and solidifying materials. Our fourth contribution is to show that recasting the backward Euler method as a minimization problem allows Newton's method to be stabilized by standard optimization techniques with some novel improvements of our own.
Download or read book Particle Based Methods written by Eugenio Oñate and published by Springer Science & Business Media. This book was released on 2011-02-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete element method, the smooth particle hydrodynamic method and the particle finite element method. The book will be of interest to researchers and engineers interested in the fundamentals of particle-based methods and their applications.
Download or read book Understanding the Discrete Element Method written by Hans-Georg Matuttis and published by John Wiley & Sons. This book was released on 2014-05-12 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.
Download or read book Physically based Simulation of Solids and Solid fluid Coupling written by Eran Guendelman and published by . This book was released on 2006 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hybrid Techniques for High fidelity Physical Simulation of Solids and Fluids written by Andrew Paul Selle and published by . This book was released on 2008 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluid Simulation for Computer Graphics written by Robert Bridson and published by CRC Press. This book was released on 2015-09-25 with total page 245 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 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 Fluid Dynamics written by Constantine Pozrikidis and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ready access to computers at an institutional and personal level has defined a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering disciplines into the realm of scientific computing has become not only desirable, but also necessary. Thanks to port ability and low overhead and operating costs, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experiment at ion. The new environment has motivated the writing of texts and mono graphs with a modern perspective that incorporates numerical and com puter programming aspects as an integral part of the curriculum: meth ods, concepts, and ideas should be presented in a unified fashion that motivates and underlines the urgency of the new elements, but does not compromise the rigor of the classical approach and does not oversimplify. Interfacing fundamental concepts and practical methods of scientific computing can be done on different levels. In one approach, theory and implement at ion are kept complementary and presented in a sequential fashion. In a second approach, the coupling involves deriving compu tational methods and simulation algorithms, and translating equations into computer code instructions immediately following problem formu lations. The author of this book is a proponent of the second approach and advocates its adoption as a means of enhancing learning: interject ing methods of scientific computing into the traditional discourse offers a powerful venue for developing analytical skills and obtaining physical insight.
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 Efficient High Order Discretizations for Computational Fluid Dynamics written by Martin Kronbichler and published by Springer Nature. This book was released on 2021-01-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces modern high-order methods for computational fluid dynamics. As compared to low order finite volumes predominant in today's production codes, higher order discretizations significantly reduce dispersion errors, the main source of error in long-time simulations of flow at higher Reynolds numbers. A major goal of this book is to teach the basics of the discontinuous Galerkin (DG) method in terms of its finite volume and finite element ingredients. It also discusses the computational efficiency of high-order methods versus state-of-the-art low order methods in the finite difference context, given that accuracy requirements in engineering are often not overly strict. The book mainly addresses researchers and doctoral students in engineering, applied mathematics, physics and high-performance computing with a strong interest in the interdisciplinary aspects of computational fluid dynamics. It is also well-suited for practicing computational engineers who would like to gain an overview of discontinuous Galerkin methods, modern algorithmic realizations, and high-performance implementations.
Download or read book Fluid Solid Interaction Dynamics written by Jing Tang Xing and published by Academic Press. This book was released on 2019-08-30 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results Takes an integrated approach to formulate, model and simulate FSI problems in engineering Illustrates results with concrete examples Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering
Download or read book Lattice Boltzmann Method and Its Applications in Engineering written by Zhaoli Guo and published by World Scientific. This book was released on 2013 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamental and practical application of the Lattice Boltzmann method (LBM). This method is a relatively new simulation technique for the modeling of complex fluid systems and has attracted interest from researchers in computational physics.
Download or read book Computational Methods for Fluid Dynamics written by Joel H. Ferziger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its third revised and extended edition the book offers an overview of the techniques used to solve problems in fluid mechanics on computers. The authors describe in detail the most often used techniques. Included are advanced techniques in computational fluid dynamics, such as direct and large-eddy simulation of turbulence. Moreover, a new section deals with grid quality and an extended description of discretization methods has also been included. Common roots and basic principles for many apparently different methods are explained. The book also contains a great deal of practical advice for code developers and users.
Download or read book Reduced Order Methods for Modeling and Computational Reduction written by Alfio Quarteroni and published by Springer. This book was released on 2014-06-05 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.
