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Coupled Simulation Of Deformable Solids Rigid Bodies And Fluids With Surface Tension
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Book Synopsis Coupled Simulation of Deformable Solids, Rigid Bodies, and Fluids with Surface Tension by : Craig Allen Schroeder
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.
Book Synopsis Hybrid Techniques for High-fidelity Physical Simulation of Solids and Fluids by : Andrew Paul Selle
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:
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Smooth Particle Applied Mechanics: The State Of The Art by : William Graham Hoover
Download or read book Smooth Particle Applied Mechanics: The State Of The Art written by William Graham Hoover and published by World Scientific. This book was released on 2006-11-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.
Book Synopsis MSC Nastran 2012 Quick Reference Guide by : MSC Software
Download or read book MSC Nastran 2012 Quick Reference Guide written by MSC Software and published by MSC Software. This book was released on 2011-11-15 with total page 3917 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ACM SIGGRAPH Symposium on Computer Animation by :
Download or read book ACM SIGGRAPH Symposium on Computer Animation written by and published by . This book was released on 2005 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Mathematical Introduction to Robotic Manipulation by : Richard M. Murray
Download or read book A Mathematical Introduction to Robotic Manipulation written by Richard M. Murray and published by CRC Press. This book was released on 2017-12-14 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.
Book Synopsis Fluid Simulation for Computer Graphics by : Robert Bridson
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.
Book Synopsis Theory of Porous Media by : Reint de Boer
Download or read book Theory of Porous Media written by Reint de Boer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a consistent treatment of the material-independent fundamental equations of the theory of porous media, formulating constitutive equations for frictional materials in the elastic and plastic range, while tracing the historical development of the theory. Thus, for the first time, a unique treatment of fluid-saturated porous solids is presented, including an explanation of the corresponding theory by way of its historical progression, and a thorough description of its current state.
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fluid Engine Development by : Doyub Kim
Download or read book Fluid Engine Development written by Doyub Kim and published by CRC Press. This book was released on 2017-01-20 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the splash of breaking waves to turbulent swirling smoke, the mathematical dynamics of fluids are varied and continue to be one of the most challenging aspects in animation. Fluid Engine Development demonstrates how to create a working fluid engine through the use of particles and grids, and even a combination of the two. Core algorithms are explained from a developer’s perspective in a practical, approachable way that will not overwhelm readers. The Code Repository offers further opportunity for growth and discussion with continuously changing content and source codes. This book helps to serve as the ultimate guide to navigating complex fluid animation and development. Explains how to create a fluid simulation engine from scratch Offers an approach that is code-oriented rather than math-oriented, allowing readers to learn how fluid dynamics works with code, with downloadable code available Explores various kinds of simulation techniques for fluids using particles and grids Discusses practical issues such as data structure design and optimizations Covers core numerical tools including linear system and level set solvers
Book Synopsis Theoretical Fluid Mechanics by : Richard Fitzpatrick
Download or read book Theoretical Fluid Mechanics written by Richard Fitzpatrick and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Theoretical Fluid Mechanics' has been written to aid physics students who wish to pursue a course of self-study in fluid mechanics. It is a comprehensive, completely self-contained text with equations of fluid mechanics derived from first principles, and any required advanced mathematics is either fully explained in the text, or in an appendix. It is accompanied by about 180 exercises with completely worked out solutions. It also includes extensive sections on the application of fluid mechanics to topics of importance in astrophysics and geophysics. These topics include the equilibrium of rotating, self-gravitating, fluid masses; tidal bores; terrestrial ocean tides; and the Eddington solar model."--Prové de l'editor.
Download or read book Flowing Matter written by Federico Toschi and published by Springer Nature. This book was released on 2019-09-25 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite Volume Method in Computational Fluid Dynamics by : F. Moukalled
Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.
Book Synopsis Fluid-Solid Interaction Dynamics by : Jing Tang Xing
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 682 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
Book Synopsis Direct Numerical Simulations of Gas–Liquid Multiphase Flows by : Grétar Tryggvason
Download or read book Direct Numerical Simulations of Gas–Liquid Multiphase Flows written by Grétar Tryggvason and published by Cambridge University Press. This book was released on 2011-03-10 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurately predicting the behaviour of multiphase flows is a problem of immense industrial and scientific interest. Modern computers can now study the dynamics in great detail and these simulations yield unprecedented insight. This book provides a comprehensive introduction to direct numerical simulations of multiphase flows for researchers and graduate students. After a brief overview of the context and history the authors review the governing equations. A particular emphasis is placed on the 'one-fluid' formulation where a single set of equations is used to describe the entire flow field and interface terms are included as singularity distributions. Several applications are discussed, showing how direct numerical simulations have helped researchers advance both our understanding and our ability to make predictions. The final chapter gives an overview of recent studies of flows with relatively complex physics, such as mass transfer and chemical reactions, solidification and boiling, and includes extensive references to current work.
