Innovations in Chemical Physics and Mesoscopy

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics
Ali V. Aliev, DSc
Olga V. Mishchenkova, PhD
Editor: Alexey M. Lipanov, DSc

Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics

Published. Available now.
Pub Date: April 2016
Hardback Price: $169.95 US
Hard ISBN: 9781771881517
E-Book ISBN: 9781771882903
Pages: 572pp w index
Binding Type: hardback
Series: Innovations in Chemical Physics and Mesoscopy
Volume: 2
Notes: 143 b/w illustrations

“This book is recommended for beginners as well as for experts in computer applications for simulation of dynamic complex systems and problems of chemical physics: from chemical reactors to space rocket motors. The range of issues that constitute the contents of all eight chapters of this book could be compared with a bouquet in which each flower complements and underlines the importance of the other one. For me personally, the questions of simplification of mathematical models of the complex systems, similarity of the systems, accuracy and verification of models of full-scale complex systems attract special attention in connection with a recent paper of Prof. A. G. Merzhanov and mine on validity of experimental and theoretical modeling (in “Combustion, Explosion, and Shock Waves,” 2013, Vol. 49). This book also provides a unique opportunity to be acquainted with numerous publications in the field of computer simulation of physicochemical processes performed in former USSR and in Russia.”
— Igor G. Assovskiy, DSc, Head of Laboratory of Solid Propellants Combustion, Semenov Institute of Chemical Physics, Russian Academy of Science, and Professor of Chemical Physics of National Research Nuclear University, Moscow, Russia

The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by a proven reliable computational approach using computer and software applications during the solution of a particular problem.

This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (e.g. Maple, MathLab, Matematica, etc.) or compilers (С, С++, Visual Basic, etc.) for code is equally acceptable in the solution of the problems given in the book.

Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving nonmathematical problems as mathematical problems.

1. Mathematical Modeling as a Method of Technical Objects Research
2. Tabular Dependencies and Techniques of Work with Tables
3. Analytical Dependencies and Methods of Their Obtainment
4. Mathematical Models as Selection Problems
5. Dynamic Systems
6. Phenomenological Models in Engineering
7. Mathematical Models Developed with the Application of Fundamental Laws of Physics
8. Methods of Computational Analysis of Models with Differential Equations in Partial Derivatives

About the Authors / Editors:
Ali V. Aliev, DSc
Dean of the Faculty, Mathematic and Natural Science; Head of the Chair, Heat Engines, M. I. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

Ali V. Aliev, DSc, is a Professor at the M. T. Kalashnikov Izhevsk State Technical University in Izhevsk, Russia, where he teaches on theory, calculating, and design of rocket engines as well as mathematical modeling in rocket engines. He has published over 300 articles and seven books and holds 25 patents. He has received several awards, including an Honorable Worker of High Education of the Russian Federation and Doctor Honoris Causa of Trenchin University (Slovakia). His research interests include intrachamber processes in solid propellant rocket engines and numerical simulation of processes in technical system.

Olga V. Mishchenkova, PhD
Senior Lecturer, Fluid Mechanics, Computer Science, and Mechanic and Modeling, Izhevsk State Technical University, M. I. Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

Olga V. Mishchenkova, PhD, is a Senior Lecturer at the M. T. Kalashnikov Izhevsk State Technical University in Izhevsk, Russia, where she teaches numerical methods and mathematical modeling. She has published over 50 articles and one book. Her research interests include numerical simulation of processes in technical system and mathematical modeling in technology.

Editor: Alexey M. Lipanov, DSc
President, Udmurt Scientific Center, and Head Researcher, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Izhevsk, Russia

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