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In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
An approachable introduction to low Reynolds number flows and elasticity for those new to the area across engineering, physics, chemistry and biology.
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
This book constitutes the refereed proceedings of the 4th Russian Supercomputing Days, RuSCDays 2018, held in Moscow, Russia, in September 2018. The 59 revised full papers and one revised short paper presented were carefully reviewed and selected from 136 submissions. The papers are organized in topical sections on parallel algorithms; supercomputer simulation; high performance architectures, tools and technologies.
This volume contains papers from the World Conference on Boundary Elements and other Mesh Reduction Methods, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in addition to those of a more theoretical nature. Engineers and scientists within the areas of numerical analysis, boundary elements and meshless methods will find the text invaluable. Topics include: Advances in Mesh Reduction Methods; Meshless Techniques; Advanced Formulations; Dual Reciprocity Method; Modified Trefftz Method; Fundamental Solution Method; Damage Mechanics and Fracture; Advanced Structural Applications; Dynamics and Vibrations; Material Characterization; Acoustics; Electrical Engineering and Electromagnetics; Heat and Mass Transfer; Fluid Mechanics Problems; Wave Propagation; Inverse Problems and Computational Techniques.
This volume developed from a Workshop on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding which was held at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota, from June 1-5, 2010. The subject matter ranged widely from observational data to theoretical mechanics, and reflected the broad scope of the workshop. In both the prepared presentations and in the informal discussions, the workshop engaged exchanges across disciplines and invited a lively interaction between modelers and observers. The articles in this volume were invited and fully refereed. They provide a representative if necessarily incomplete account of the field of natural locomotion during a period of rapid growth and expansion. The papers presented at the workshop, and the contributions to the present volume, can be roughly divided into those pertaining to swimming on the scale of marine organisms, swimming of microorganisms at low Reynolds numbers, animal flight, and sliding and other related examples of locomotion.
The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques
This book is a straightforward introduction to the subject of symmetry methods for solving differential equations, and is aimed at applied mathematicians, physicists, and engineers. The presentation is informal, using many worked examples to illustrate the main symmetry methods. It is written at a level suitable for postgraduates and advanced undergraduates, and is designed to enable the reader to master the main techniques quickly and easily.The book contains some methods that have not previously appeared in a text. These include methods for obtaining discrete symmetries and integrating factors.
Offering a comprehensive treatment of adhesive particle flows, this book adopts a particle-level approach oriented toward directly simulating the various fluid, electric field, collision, and adhesion forces and torques acting on the particles, within the framework of a discrete-element model. It is ideal for professionals and graduate students working in engineering and atmospheric and condensed matter physics, materials science, environmental science, and other disciplines where particulate flows have a significant role. The presentation is applicable to a wide range of flow fields, including aerosols, colloids, fluidized beds, and granular flows. It describes both physical models of the various forces and torques on the particles as well as practical aspects necessary for efficient implementation of these models in a computational framework.
"This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.