Spanning biological, mathematical, computational, and engineering sciences, computational biofluiddynamics addresses a diverse family of problems involving fluid flow inside and around living organisms, organs, tissue, biological cells, and other biological materials. Computational Hydrodynamics of Capsules and Biological Cells provides a comprehensive, rigorous, and current introduction to the fundamental concepts, mathematical formulation, alternative approaches, and predictions of this evolving field. In the first several chapters on boundary-element, boundary-integral, and immersed-boundary methods, the book covers the flow-induced deformation of idealized two-dimensional red blood cells in Stokes flow, capsules with spherical unstressed shapes based on direct and variational formulations, and cellular flow in domains with complex geometry. It also presents simulations of microscopic hemodynamics and hemorheology as well as results on the deformation of capsules and cells in dilute and dense suspensions. The book then describes a discrete membrane model where a surface network of viscoelastic links emulates the spectrin network of the cytoskeleton, before presenting a novel two-dimensional model of red and white blood cell motion. The final chapter discusses the numerical simulation of platelet motion near a wall representing injured tissue. This volume provides a roadmap to the current state of the art in computational cellular mechanics and biofluiddynamics. It also indicates areas for further work on mathematical formulation and numerical implementation and identifies physiological problems that need to be addressed in future research. MATLAB (R) code and other data are available at http://dehesa.freeshell.org/CC2

This book offers a venue for rapidly learning the language of C++ by concisely revealing its grammar, syntax and main features, and by explaining the key ideas behind object oriented programming (OOP) with emphasis on scientific computing. The book reviews elemental concepts of computers and computing, describes the primary features of C++, illustrates the use of pointers and user-defined functions, analyzes the construction of classes, and discusses graphics programming based on VOGLE and OpenGL. In short, the book is a basic, concise introduction to C++ programming for everyone from students to scientists and engineers seeking a quick grasp of key topics.

Ready access to computers has de?ned a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering curricula into the realm of scienti?c computing has become not only desirable, but also necessary. Thanks to portability and low overhead and operating cost, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experimentation. The new framework has necessitated the writing of texts and monographs from a modern perspective that incorporates numerical and computer progr- ming aspects as an integral part of the discourse. Under this modern directive, methods, concepts, and ideas are presented in a uni?ed fashion that motivates and underlines the urgency of the new elements, but neither compromises nor oversimpli?es the rigor of the classical approach. Interfacing fundamental concepts and practical methods of scienti?c c- puting can be implemented on di?erent levels. In one approach, theory and implementation are kept complementary and presented in a sequential fashion. In another approach, the coupling involves deriving computational methods and simulation algorithms, and translating equations into computer code - structions immediately following problem formulations. Seamlessly interjecting methods of scienti?c computing in the traditional discourse o?ers a powerful venue for developing analytical skills and obtaining physical insight.

In this concise yet comprehensive book, the author discusses the principles of mass, momentum, and energy transport, and derives balance equations for single-component fluids and multicomponent mixtures based on the direct application of natural laws and principles of thermodynamics. Transport equations over control volumes are formulated with reference to the Reynolds transport equation, thereby circumventing the need for ad-hoc balances for open systems that are best justified in hindsight. Notable features with regard to mass transport include the interpretation of diffusion in mixtures in terms of species parcel motion and separation, the introduction of Fick's and fractional diffusion laws with reference to random molecular excursions, a detailed account of species and mixture kinematics and dynamics, and the discussion of partial stresses, energies, and entropies of individual mixture components. Key features of this book include: * The governing equations are derived from first principles based on the application of natural laws and principles of thermodynamics * Balances over control volumes are derived from rigorous equations governing material parcel property evolution * Fick's law, a fractional diffusion law, and other diffusion laws are discussed with reference to random walks * A detailed account of species and mixture kinematics and dynamics is presented for binary and multicomponent solutions * A tabulated summary of transport equations is presented in differential and integral forms, and an overview of classical thermodynamics is given in an appendix for a self-contained discourse C. Pozrikidis has taught at the University of California and the University of Massachusetts. He is the author of several books on theoretical and computational topics in science and engineering, applied mathematics, scientific computing, and computer science.

This book offers a venue for rapidly learning the language of C++ by concisely revealing its grammar, syntax and main features, and by explaining the key ideas behind object oriented programming (OOP) with emphasis on scientific computing. The book reviews elemental concepts of computers and computing, describes the primary features of C++, illustrates the use of pointers and user-defined functions, analyzes the construction of classes, and discusses graphics programming based on VOGLE and OpenGL. In short, the book is a basic, concise introduction to C++ programming for everyone from students to scientists and engineers seeking a quick grasp of key topics.

Incorporating new topics and original material, Introduction to Finite and Spectral Element Methods Using MATLAB (R), Second Edition enables readers to quickly understand the theoretical foundation and practical implementation of the finite element method and its companion spectral element method. Readers gain hands-on computational experience by using the free online FSELIB library of MATLAB (R) functions and codes. With the book as a user guide, readers can immediately run the codes and graphically display solutions to a variety of elementary and advanced problems. New to the Second Edition Two new chapters with updated material Updated detailed proofs and original derivations New schematic illustrations and graphs Additional solved problems Updated MATLAB software, including improved and new computer functions as well as complete finite element codes incorporating domain discretization modules in three dimensions Suitable for self-study or as a textbook in various science and engineering courses, this self-contained book introduces the fundamentals on a need-to-know basis and emphasizes the development of algorithms and the computer implementation of essential procedures. The text first explains basic concepts and develops the algorithms before addressing problems in solid mechanics, fluid mechanics, and structural mechanics.

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow.
The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework.
A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.

In this concise yet comprehensive book, the author discusses the principles of mass, momentum, and energy transport, and derives balance equations for single-component fluids and multicomponent mixtures based on the direct application of natural laws and principles of thermodynamics. Transport equations over control volumes are formulated with reference to the Reynolds transport equation, thereby circumventing the need for ad-hoc balances for open systems that are best justified in hindsight. Notable features with regard to mass transport include the interpretation of diffusion in mixtures in terms of species parcel motion and separation, the introduction of Fick's and fractional diffusion laws with reference to random molecular excursions, a detailed account of species and mixture kinematics and dynamics, and the discussion of partial stresses, energies, and entropies of individual mixture components. Key features of this book include: * The governing equations are derived from first principles based on the application of natural laws and principles of thermodynamics * Balances over control volumes are derived from rigorous equations governing material parcel property evolution * Fick's law, a fractional diffusion law, and other diffusion laws are discussed with reference to random walks * A detailed account of species and mixture kinematics and dynamics is presented for binary and multicomponent solutions * A tabulated summary of transport equations is presented in differential and integral forms, and an overview of classical thermodynamics is given in an appendix for a self-contained discourse C. Pozrikidis has taught at the University of California and the University of Massachusetts. He is the author of several books on theoretical and computational topics in science and engineering, applied mathematics, scientific computing, and computer science.

While the extensible markup language (XML) has received a great deal of attention in web programming and software engineering, far less attention has been paid to XML in mainstream computational science and engineering. Correcting this imbalance, XML in Scientific Computing introduces XML to scientists and engineers in a way that illustrates the similarities and differences with traditional programming languages and suggests new ways of saving and sharing the results of scientific calculations. The author discusses XML in the context of scientific computing, demonstrates how the extensible stylesheet language (XSL) can be used to perform various calculations, and explains how to create and navigate through XML documents using traditional languages such as Fortran, C++, and MATLAB (R). A suite of computer programs are available on the author's website.