This book covers the principles and applications of computational multiscale modeling of fluids and solids. It explores the physics across various length and timescales, introducing fundamental concepts in fluid and solid mechanics, and the objectives of experimental and theoretical physics. With detailed discussions on numerical methods, statistical physics, thermodynamics, and the theory of elasticity, this book integrates theoretical background with practical computational examples. Designed for advanced students and professionals, the book includes computational exercises and projects, supported by source code available within the text and for download.

This edition contains several significant updates and expansions. It now features standalone chapters on molecular dynamics simulations and on the Monte Carlo method, both enriched with new applications and examples. The treatment of hypervelocity impact and shock-related applications has also been expanded and is integrated into the broader multiscale discussion of the book, including particle-based space-debris impact scenarios. In addition, a thorough introduction to quantum mechanics is presented, including exercises and source code examples such as the numerical solution of the Schrödinger equation. The computer science material has been expanded into a full chapter, offering a comprehensive introduction to theoretical computer science. Furthermore, the mathematical background has been revised and enlarged to include differential forms, enhancing the understanding of space in physics. Updated references, new exercises, case studies, and repository-supported C/C++ code examples make this book even more valuable for academic use.

Presents a comprehensive overview of computational methods used in multiscale materials modelling 4th expanded edition features dedicated chapters on molecular dynamics and the Monte Carlo method with examples Includes a new chapter on shock wave physics with examples of the impact of space debris on satellites

Autorentext

Martin O. Steinhauser studied mathematics and physics at the Universities of Heidelberg, Munich, and Ulm, as well as at the University of Massachusetts Amherst, USA. He completed his habilitation at the University of Basel and has been Professor of Applied Physics and Computer Science at Frankfurt University of Applied Sciences since 2020. His research and teaching connect mathematical modeling, scientific computing, and theoretical foundations across physics, mathematics, and computer science. He has held international teaching and research appointments and visits in Cambridge, Oxford, Singapore, and Tokyo, and is the author of several academic books published by Springer and De Gruyter.

Inhalt

IntroductiontoMultiscaleModeling.- MultiscaleComputationalMaterialsScience.- ComputerScienceAlgorithmsandComputability.- MathematicalandPhysicalPrerequisites.- FundamentalsofNumericalSimulation.- ComputationalMethodsonElectronic/Atomistic Scale.- ComputationalMethodsonMesoscopic/Macroscopic Scale.