In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.

Numerical Simulation in Fluid Dynamics: A Practical Introduction (Monographs on Mathematical Modeling and Computation, Series Number 3)

Science & Math

Griebel, Michael

Dornsheifer, Thomas

Neunhoeffer, Tilman

Mathematics

SIAM: Society for Industrial and Applied Mathematics

Algorithmic Mathematics In Machine Learning

Bohn, Bastian

Garcke, Jochen

Philadelphia : Society for Industrial and Applied Mathematics

Hilbert Space Splittings and Iterative Methods (Springer Series in Computational Mathematics, 62)

Oswald, Peter

Springer

Das Buch behandelt Methoden des wissenschaftlichen Rechnens in der Moleküldynamik, einem Bereich, der in vielen Anwendungen der Chemie, der Biowissenschaften, der Materialwissenschaften, insbesondere der Nanotechnologie, sowie der Astrophysik eine wichtige Rolle spielt. Es führt in die wichtigsten Simulationstechniken zur numerischen Behandlung der Newtonschen Bewegungsgleichungen ein. Der Schwerpunkt liegt hierbei auf der schnellen Auswertung kurz- und langreichweitiger Kräfte mittels Linked Cell-,   P$/\3$M-, Baum- und Multipol-Verfahren, sowie deren paralleler Implementierung und Lastbalancierung auf Rechensystemen mit verteiltem Speicher. Die einzelnen Kapitel beinhalten darüberhinaus detailierte Hinweise, um die Verfahren Schritt für Schritt in ein Programmpaket umzusetzen. In zahlreichen farbigen Abbildungen werden Simulationsergebnisse für eine Reihe von Anwendungen präsentiert.

Numerische Simulation in der Moleküldynamik: Numerik, Algorithmen, Parallelisierung, Anwendungen (Springer-Lehrbuch) (German Edition)

Computers & Technology

Knapek, Stephan

Zumbusch, Gerhard

Caglar, Attila

Computer Science

Numerical Simulation in Molecular Dynamics: Numerics, Algorithms, Parallelization, Applications (Texts in Computational Science and Engineering, 5)

This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.

This book presents in detail the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique.

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