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Author:   L. Quartapelle
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1993 ed.
Volume:   113
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.340kg
ISBN:  

9783764329358

ISBN 10:   3764329351
Pages:   292
Publication Date:   01 September 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 The incompressible Navier-Stokes equations.- 1.1 Introduction.- 1.2 Incompressible Navier-Stokes equations.- 1.3 Organization of the book.- 1.4 Some references.- 2 Nonprimitive variable formulations in 2D.- 2.1 Introduction.- 2.2 Vorticity-stream function equations.- 2.3 Biharmonic formulation.- 2.4 Coupled vorticity-stream function equations.- 2.5 Vorticity integral conditions.- 2.6 Split vorticity-stream function equations.- 2.7 One-dimensional integral conditions.- 2.8 Orthogonal projection operator.- 2.9 Factorized vorticity-stream function problem.- 2.10 Numerical schemes: local discretizations.- 2.11 Numerical schemes: spectral method.- 2.12 Higher-order time discretization.- 2.13 Rotationally symmetric equations.- 3 Nonprimitive variable formulations in 3D.- 3.1 Introduction.- 3.2 Vorticity vector equation.- 3.3 Æ-?-A formulation.- 3.4 qs-Æ-? formulation.- 3.5 Irreducible vorticity integral conditions.- 3.6 Æ-? formulation.- 3.7 Conclusions.- 4 Vorticity-velocity representation.- 4.1 Introduction.- 4.2 Three-dimensional equations.- 4.3 Two-dimensional equations.- 5 Primitive variable formulation.- 5.1 Introduction.- 5.2 Pressure-velocity equations.- 5.3 Pressure integral conditions.- 5.4 Decomposition scheme.- 5.5 Equations for plane channel flows.- 5.6 Direct Stokes solver.- 5.7 General boundary conditions.- 5.8 Extension to compressible equations.- 6 Evolutionary pressure—velocity equations.- 6.1 Introduction.- 6.2 Unsteady Stokes problem.- 6.3 Space-time integral conditions.- 6.4 Drag on a sphere in nonuniform motion.- 6.5 Pressure dynamics in incompressible flows.- 6.6 Comments.- 7 Fractional-step projection method.- 7.1 Introduction.- 7.2 Ladyzhenskaya theorem.- 7.3 Fractional-step projection method.- 7.4 Poisson equation for pressure.- 7.5 Afinite element projection method.- 8 Incompressible Euler equations.- 8.1 Introduction.- 8.2 Incompressible Euler equations.- 8.3 Taylor-Galerkin method.- 8.4 Euler equations for vortical flows.- 8.5 Vorticity-velocity formulation.- 8.6 Nonprimitive variable formulations.- APPENDICES.- A Vector differential operators.- A.1 Orthogonal curvilinear coordinates.- A.2 Differential operators.- A.3 Cylindrical coordinates.- A.3.1 Definition.- A.3.2 Gradient, divergence and curl.- A.3.3 Laplace and advection operators.- A.4 Spherical coordinates.- A.4.1 Definition.- A.4.2 Gradient, divergence and curl.- A.4.3 Laplace and advection operators.- B Separation of vector elliptic equations.- B.1 Introduction.- B.2 Polar coordinates.- B.3 Spherical coordinates on the unit sphere.- B.4 Cylindrical coordinates.- B.5 Spherical coordinates.- C Spatial difference operators.- C.1 Introduction.- C.2 2D equation: four-node bilinear element.- C.3 3D equation: eight-node trilinear element.- D Time derivative of integrals over moving domains.- D.1 Circulation along a moving curve.- D.2 Flux across a moving surface.- D.3 Integrals over a moving volume.- References.

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