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Introduction to theoretical and computational fluid dynamics / C. Pozrikidis

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: New York : Oxford University Press, 2011Edition: 2nd ed (Online-Ausg.)Description: Online-Ressource (1 online resource (xxix, 1243 p.)) : illISBN:
  • 9781283656795
  • 1283656795
  • 9780199909124
Subject(s): Additional physical formats: 9780199909124 | 9780199752072. | 1283656612 | Erscheint auch als: Introduction to theoretical and computational fluid dynamics. Druck-Ausgabe 2. ed. New York : Oxford University Press, 2011. XXIX, 1243 S.DDC classification:
  • 532.05
  • 532/.05 22
MSC: MSC: *76-01 | 76MxxRVK: RVK: UF 4000LOC classification:
  • QA911
Online resources: Summary: This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces analytical and numerical methods for solving a broad range of pertinent problems. Topics include an in-depth discussion of kinematics, elements of differential geometry of lines and surfaces, vortex dynamics, properties and computation of interfacial shapes in hydrostatics, exact solutions, flow at low Reynolds numbers, interfacial flows, hydrodynamic stability, boundary-layer analysis, vortex motion, boundary-integral methods for potential and Stokes flow, principles of computational fluid dynamics (CFD), and finite-difference methods for Navier-Stokes flow. The discourse includes classical and original topics, as well as derivations accompanied by solved and unsolved problems that illustrate the theoretical results and explain the implementation of the numerical methods. Appendices provide a wealth of information and establish the necessary mathematical and numerical framework. A unique and comprehensive synthesis of the essential aspects of the discipline, this volume serves as an ideal textbook in several graduate courses on theoretical and computational fluid dynamics, applied mathematics, and scientific computing. The material is an indispensable resource for professionals and researchers in various fields of science, chemical, mechanical, biomechanical, civil and aerospace engineering.Summary: Cover -- Contents -- Preface -- Preface to the Second Edition -- Note to the Instructor -- Note to the Reader -- 1 Kinematic structure of a flow -- 1.1 Fluid velocity and motion of fluid parcels -- 1.1.1 Subparcels and point particles -- 1.1.2 Velocity gradient -- 1.1.3 Dyadic base -- 1.1.4 Fundamental decomposition of the velocity gradient -- 1.1.5 Vorticity -- 1.1.6 Fluid parcel motion -- 1.1.7 Irrotational and rotational flows -- 1.1.8 Cartesian tensors -- 1.2 Curvilinear coordinates -- 1.2.1 Orthogonal curvilinear coordinates -- 1.2.2 Cylindrical polar coordinates -- 1.2.3 Spherical polar coordinates -- 1.2.4 Plane polar coordinates -- 1.2.5 Axisymmetric flow -- 1.2.6 Swirling flow -- 1.2.7 Nonorthogonal curvilinear coordinates -- 1.3 Lagrangian labels of point particles -- 1.3.1 The material derivative -- 1.3.2 Point-particle acceleration -- 1.3.3 Lagrangian mapping -- 1.3.4 Deformation gradient -- 1.4 Properties of fluid parcels and mass conservation -- 1.4.1 Rate of change of parcel volume and Euler's theorem in kinematics -- 1.4.2 Reynolds transport theorem -- 1.4.3 Mass conservation and the continuity equation -- 1.4.4 Incompressible fluids and solenoidal velocity fields -- 1.4.5 Rate of change of parcel properties -- 1.5 Point-particle motion -- 1.5.1 Cylindrical polar coordinates -- 1.5.2 Spherical polar coordinates -- 1.5.3 Plane polar coordinates -- 1.5.4 Particle rotation around an axis -- 1.6 Material vectors and material lines -- 1.6.1 Material vectors -- 1.6.2 Material lines -- 1.6.3 Frenet-Serret relations -- 1.6.4 Evolution equations for a material line -- 1.7 Material surfaces -- 1.7.1 Tangential vectors and metric coefficients -- 1.7.2 Normal vector and surface metric -- 1.7.3 Evolution equations -- 1.7.4 Flow rate of a vector field through a material surface -- 1.8 Diffierential geometry of surfaces.PPN: PPN: 790361345Package identifier: Produktsigel: GBV-MyiL-Osna-228 | ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
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