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Record Nr. |
UNINA9911046726203321 |
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Autore |
Taylor R. L |
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Titolo |
The Finite Element Method for Fluid Dynamics |
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Pubbl/distr/stampa |
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Chantilly : , : Elsevier Science & Technology, , 2024 |
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©2025 |
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ISBN |
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Edizione |
[8th ed.] |
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Descrizione fisica |
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1 online resource (598 pages) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Fluid dynamics |
Finite element method |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Front Cover -- The Finite Element Method for Fluid Dynamics -- Copyright -- Contents -- List of figures -- List of tables -- Preface -- 1 The equations of fluid dynamics -- 1.1 General remarks and classification of fluid dynamics problems -- 1.2 The governing equations of fluid dynamics -- 1.2.1 Stresses in fluids -- 1.2.2 Constitutive relations for fluids -- 1.2.3 Mass conservation -- 1.2.4 Momentum conservation: dynamic equilibrium -- 1.2.5 Energy conservation and equation of state -- 1.2.6 Boundary conditions -- 1.2.7 Navier–Stokes and Euler equations -- 1.3 Inviscid, incompressible flow -- 1.3.1 Velocity potential solution -- 1.4 Incompressible (or nearly incompressible) flows -- 1.5 Concluding remarks -- References -- 2 The finite element approximation -- 2.1 Introduction -- 2.2 Numerical solutions: weak forms, weighted residual and finite element approximation -- 2.2.1 Strong and weak forms -- 2.2.1.1 Weak form of equations -- 2.2.1.2 Weighted residual approximation -- 2.2.1.3 The Galerkin, finite element, method -- 2.2.2 A finite volume approximation |
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Sommario/riassunto |
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This book, 'The Finite Element Method for Fluid Dynamics', authored by Olek C. Zienkiewicz, Robert L. Taylor, and P. Nithiarasu, provides a comprehensive exploration of the finite element method as applied to fluid dynamics. The text covers fundamental equations of fluid dynamics, numerical methods, and advanced topics such as |
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convection-dominated problems, turbulence modeling, compressible flows, and porous media. It is designed to serve as both a theoretical and practical guide, incorporating the latest developments in the field. The book is intended for researchers, practitioners, and graduate-level students in engineering and computational sciences, aiming to enhance understanding and application of finite element techniques in solving complex fluid dynamic problems. |
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