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.

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.

The rheology of dense red blood cell suspensions is investigated via computer simulations based on the lattice Boltzmann, the immersed boundary, and the finite element methods. The red blood cells are treated as extended and deformable particles immersed in the ambient fluid. In the first part of the work, the numerical model and strategies for stress evaluation are discussed. In the second part, the behavior of the suspensions in simple shear flow is studied for different volume fractions, particle deformabilities, and shear rates. Shear thinning behavior is recovered. The existence of a shear-induced transition from a tumbling to a tank-treading motion is demonstrated. The transition can be parameterized by a single quantity, namely the effective capillary number. It is the ratio of the suspension stress and the characteristic particle membrane stress. At the transition point, a strong increase in the orientational order of the red blood cells and a significant decrease of the particle diffusivity are observed. However, the average cell deformation shows no signature of the transition.

Das beliebte Buch Theoretische Physik wird jetzt erstmalig in korrigierter und erganzter Form in Einzelbanden angeboten. Das ermoeglicht den Studierenden, die handlichen Bande zum Lernen, Aufgabenloesen und zum schnellen Nachschlagen leichter mitnehmen und nutzen zu koennen. Gleichzeitig wird die gesamte theoretische Physik des Bachelorstudiums (und daruber hinaus) in den vier Banden aufeinander abgestimmt prasentiert. Das vorliegende Buch ist der erste Teil der vierbandigen Reihe und deckt den Lehrstoff der Bachelorvorlesung zur Theoretischen Mechanik grosser Universitaten in Deutschland, OEsterreich und der Schweiz moeglichst umfassend ab. Die besondere Starke dieser Reihe liegt darin, den Leser mit einer Vielzahl von didaktischen Elementen beim Lernen zu unterstutzen: -Alle Kapitel werden mit grundsatzlichen Fragen eingeleitet -Wichtige Aussagen, Formeln und Definitionen sind ubersichtlich hervorgehoben -Beispiele regen zum Aktivwerden an -Selbstfragen helfen dem Leser, den behandelten Stoff zu reflektieren -"So geht's weiter"-Abschnitte, beispielsweise uber den Lense-Thirring-Effekt oder Determinismus und Chaos ermoeglichen einen Blick uber den Tellerrand und geben Einblicke in aktuelle Forschung -Anhand ausfuhrlich geloester Aufgaben kann das Gelernte uberpruft und gefestigt werden -Mathematische Boxen sind zum schnellen Nachschlagen herausgehoben -Alle Bande sind durchgehend vierfarbig und mit ubersichtlichen Grafiken gestaltet. Die Autoren haben ihre langjahrige und vielfach hervorragend bewertete Lehrerfahrung in das Werk einfliessen lassen. Daruber hinaus gelingt es ihnen, die Zusammenhange in der Theoretischen Physik auch bandubergreifend klar werden zu lassen. Der Inhalt Die Newton'schen Axiome - Koordinationstransformationen und beschleunigte Bezugssysteme - Systeme von Punktmassen - Starre Koerper - Lagrange-Formalismus und Variationsrechnung - Schwingungen - Hamilton-Formalismus - Kontinuumsmechanik - Spezielle Relativitatstheorie - Relativistische Mechanik