Computational Engineering - Introduction to Numerical Methods

Michael Schäfer

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English

Springer Nature Switzerland AG
20 July 2021

Maths for engineers; Mechanical engineering; Mechanics of solids; Mechanics of fluids; Mathematical theory of computation

Numerical simulation methods in all engineering disciplines gains more and more importance.

The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques.

The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text.

For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed.

The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary.

The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.

By: Michael Schäfer
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: Second Edition 2022
Dimensions: Height: 235mm, Width: 155mm,
Weight: 746g
ISBN: 9783030760267
ISBN 10: 303076026X
Pages: 373
Publication Date: 20 July 2021
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction.- Modeling of Continuum Mechanical Problems.- Discretization of Problem Domain.- Finite-Volume Methods.- Finite-Element Methods.- Other Discretization Methods.- Time Discretization.- Solution of Algebraic Systems of Equations.- Properties of Numerical Methods.- Finite-Element Methods in Structural Mechanics.- Finite-Volume Methods for Incompressible Flows.- Lattice-Boltzmann Methods for Flow Simulation.- Computation of Turbulent Flows.- Acceleration of Computations.