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Presentation; 1.7 Rolling Up of the Trailing Vortex Sheet behind a Finite Wing |
Appendix2 Inviscid Fluid Flows; 2.1 Incompressible Potential Flows; 2.2 Numerical Solution of Second-Order Ordinary Differential Equations: Boundary-Value Problems; 2.3 Radial Flow Caused by Distributed Sources and Sinks; 2.4 Inverse Method I: Superposition of Elementary Flows; 2.5 von Kármán's Method for Approximating Flow Past Bodies of Revolution; 2.6 Inverse Method II: Conformal Mapping; 2.7 Classification of Second-Order Partial Differential Equations; 2.8 Numerical Methods for Solving Elliptic Partial Differential Equations |
2.9 Potential Flows in Ducts or around Bodies-Irregular and Derivative Boundary Conditions2.10 Numerical Solution of Hyperbolic Partial Differential Equations; 2.11 Propagation and Reflection of a Small-Amplitude Wave; 2.12 Propagation of a Finite-Amplitude Wave: Formation of a Shock; 2.13 An Application to Biological Fluid Dynamics: Flow in an Elastic Tube; Appendix; 3 Viscous Fluid Flows; 3.1 Governing Equations for Viscous Flows; 3.2 Self-Similar Laminar Boundary-Layer Flows; 3.3 Flat-Plate Thermometer Problem-Ordinary Boundary-Value Problems Involving Derivative Boundary Conditions |
3.4 Pipe and Open-Channel Flows3.5 Explicit Methods for Solving Parabolic Partial Differential Equations-Generalized Rayleigh Problem; 3.6 Implicit Methods for Solving Parabolic Partial Differential Equations-Starting Flow in a Channel; 3.7 Numerical Solution of Biharmonic Equations-Stokes Flows; 3.8 Flow Stability and Pseudo-Spectral Methods; Appendix; 4 Numerical Solution of the Incompressible Navier-Stokes Equation; 4.1 Flow around a Sphere at Finite Reynolds Numbers-Galerkin Method; 4.2 Upwind Differencing and Artificial Viscosity; 4.3 Bénard and Taylor Instabilities |
4.4 Primitive Variable Formulation: Algorithmic Considerations4.5 Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equation; 4.6 Flow Past a Circular Cylinder: An Example for the Vorticity-Stream Function Formulation; Appendix; Bibliography; Index |