Theoretical and computational fluid mechanics: existence, blow-up, and discrete exterior calculus algorithms
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...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton ; London ; New York
CRC Press
2024
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| Edition: | First edition |
| Series: | Numerical analysis and scientific computing series
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| Subjects: | |
| Summary: | 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 |
| Item Description: | 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. |
| Physical Description: | xix, 317 Seiten Illustrationen 784 gr |
| ISBN: | 9781032589251 9781032589480 |
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| 520 | |a 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 | ||
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| id | DE-604.BV049567971 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:29:50Z |
| indexdate | 2025-03-31T18:05:57Z |
| institution | BVB |
| isbn | 9781032589251 9781032589480 |
| language | English |
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| physical | xix, 317 Seiten Illustrationen 784 gr |
| publishDate | 2024 |
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| publisher | CRC Press |
| record_format | marc |
| series2 | Numerical analysis and scientific computing series |
| spelling | Moschandreou, Terry E. Verfasser (DE-588)1166106187 aut Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms Terry E. Moschandreou, Keith Afas, Khoa Nguyen First edition Boca Raton ; London ; New York CRC Press 2024 xix, 317 Seiten Illustrationen 784 gr txt rdacontent n rdamedia nc rdacarrier Numerical analysis and scientific computing series 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. 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 bicssc / Information technology - general issues bicssc / Life sciences - general issues bicssc / Plasma physics bicssc / Fluid mechanics bicssc / Numerical analysis bicssc / Applied mathematics bisacsh / MATHEMATICS / Numerical Analysis bisacsh / MATHEMATICS / Applied Afas, Keith Verfasser aut Nguyen, Khoa Verfasser aut Erscheint auch als Online-Ausgabe 978-1-003-45225-6 |
| spellingShingle | Moschandreou, Terry E. Afas, Keith Nguyen, Khoa Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms bicssc / Information technology - general issues bicssc / Life sciences - general issues bicssc / Plasma physics bicssc / Fluid mechanics bicssc / Numerical analysis bicssc / Applied mathematics bisacsh / MATHEMATICS / Numerical Analysis bisacsh / MATHEMATICS / Applied |
| title | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms |
| title_auth | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms |
| title_exact_search | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms |
| title_exact_search_txtP | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms |
| title_full | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms Terry E. Moschandreou, Keith Afas, Khoa Nguyen |
| title_fullStr | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms Terry E. Moschandreou, Keith Afas, Khoa Nguyen |
| title_full_unstemmed | Theoretical and computational fluid mechanics existence, blow-up, and discrete exterior calculus algorithms Terry E. Moschandreou, Keith Afas, Khoa Nguyen |
| title_short | Theoretical and computational fluid mechanics |
| title_sort | theoretical and computational fluid mechanics existence blow up and discrete exterior calculus algorithms |
| title_sub | existence, blow-up, and discrete exterior calculus algorithms |
| topic | bicssc / Information technology - general issues bicssc / Life sciences - general issues bicssc / Plasma physics bicssc / Fluid mechanics bicssc / Numerical analysis bicssc / Applied mathematics bisacsh / MATHEMATICS / Numerical Analysis bisacsh / MATHEMATICS / Applied |
| topic_facet | bicssc / Information technology - general issues bicssc / Life sciences - general issues bicssc / Plasma physics bicssc / Fluid mechanics bicssc / Numerical analysis bicssc / Applied mathematics bisacsh / MATHEMATICS / Numerical Analysis bisacsh / MATHEMATICS / Applied |
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