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Theoretical and Computational Fluid Mechanics

Existence, Blow-up, and Discrete Exterior Calculus Algorithms
 
Kiadás sorszáma: 1
Kiadó: Chapman and Hall
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GBP 99.99
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48 295 Ft (45 995 Ft + 5% áfa)
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38 636 (36 796 Ft + 5% áfa )
Kedvezmény(ek): 20% (kb. 9 659 Ft)
A kedvezmény érvényes eddig: 2024. június 30.
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Rövid leírás:

This book centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding.

Hosszú leírás:

Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding.


The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data.


Features



  • Offers a self-contained treatment that does not require a previous background in fluid dynamics.

  • Suitable as a reference text for graduate students, researchers, and professionals, and could easily be used as a teaching resource.

  • Provides various examples using Maple, Mathematica, and to a lesser extent Matlab programming languages.
Tartalomjegyzék:

1. Introduction to Fluid Dynamics. 2. Geometric Algebra. 3. Compressible Navier Stokes equations. 4. Hydrodynamic Stability and Maple. 5. Mathematics Preliminaries. 6. Simplified Periodic Navier-Stokes (PNS) and Rayleigh-Plesset (RP) Equations. 7. Introduction to Flows and Dynamical Systems. 8. Numerical Analysis of 3D Periodic Navier Stokes equations and the Maple Environment. 9. Introduction to Fractional Calculus. 10. Introduction to Simplicial Complexes, and Discrete Exterior Calculus (DEC). 11. Applications of Discrete Exterior Calculus (DEC) to Fluid Mechanics and Fluid-Structure Interactions.