
Computational Methods in Engineering
Description
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Numerical methods are crucial to everyday engineering. The book begins by introducing the various methods and their applications, with example problems from a range of engineering disciplines including heat transfer, solid and structural mechanics, and fluid mechanics. It highlights the strengths of FEM, with its systematic procedure and modular steps, and then goes on to explain the uses of FVM. It explains how DMCDM embodies useful parts of both FEM and FVM, particularly in its use of the control domain method and how it can provide a comprehensive computational approach. The final chapters look at ways to use different numerical methods, primarily FEM and DMCDM, to solve typical problems of bending of beams, axisymmetric circular plates, and other nonlinear problems.
This book is a useful guide to numerical methods for professionals and students in all areas of engineering and engineering mathematics.
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Person
Recent honors and awards include: 2023 Leonardo da Vinci Award from the European Academy of Sciences, 2023 Michael P. Pa?idoussis Medal from the Royal Society of Canada, 2022 IACM Congress (Gauss-Newton) Medal from the International Association of Computational Mechanics, 2019 Timoshenko Medal from the American Society of Mechanical Engineers, 2018 Theodore von K?arm?an Medal from the American Society of Civil Engineers, 2017 John von Neumann Medal from the U.S. Association of Computational Mechanics, 2016 Prager Medal from the Society of Engineering Science, and 2016 ASME Medal from the American Society of Mechanical Engineers. He is a member of the US National Academy of Engineering and foreign fellow of the Canadian Academy of Engineering, the Chinese Academy of Engineering, the Brazilian National Academy of Engineering, the Indian National Academy of Engineering, the Royal Academy of Engineering of Spain, the European Academy of Sciences (Honorary Member), and the Academia Scientiarum et Artium Europaea (the European Academy of Sciences and Arts).
Content
2. The Finite Difference Method
3. The Finite Volume Method
4. The Finite Element Method
5. The Dual Mesh Control Domain Method
6. Nonlinear Problems with a Single Unknown
7. Bending of Straight Beams
8. Bending of Axisymmetric Circular Plates
9. Plane Elasticity and Viscous Incompressible Flows
10. Bending of Flat Plates
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