Buch, Englisch, 338 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 675 g
Reihe: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Existence, Blow-up, and Discrete Exterior Calculus Algorithms
Buch, Englisch, 338 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 675 g
Reihe: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
ISBN: 978-1-032-58925-1
Verlag: Chapman and Hall/CRC
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.
Zielgruppe
Postgraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
Weitere Infos & Material
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.