Preface |
Flow Topics Governed by Ordinary Differential Equations: Initial-Value Problems / 1: |
Numerical Solution of Ordinary Differential Equations: Initial-Value Problems / 1.1: |
Free Falling of a Spherical Body / 1.2: |
Computer Simulation of Some Restrained Motions / 1.3: |
Fourth-Order Runge-Kutta Method for Computing Two-Dimensional Motions of a Body through a Fluid / 1.4: |
Ballistics of a Spherical Projectile / 1.5: |
Flight Path of a Glider-A Graphical Presentation / 1.6: |
Rolling Up of the Trailing Vortex Sheet behind a Finite Wing / 1.7: |
Appendix |
Inviscid Fluid Flows / 2: |
Incompressible Potential Flows / 2.1: |
Numerical Solution of Second-Order Ordinary Differential Equations: Boundary-Value Problems / 2.2: |
Radial Flow Caused by Distributed Sources and Sinks / 2.3: |
Inverse Method I: Superposition of Elementary Flows / 2.4: |
von Kármán's Method for Approximating Flow Past Bodies of Revolution / 2.5: |
Inverse Method II: Conformal Mapping / 2.6: |
Classification of Second-Order Partial Differential Equations / 2.7: |
Numerical Methods for Solving Elliptic Partial Differential Equations / 2.8: |
Potential Flows in Ducts or around Bodies-Irregular and Derivative Boundary Conditions / 2.9: |
Numerical Solution of Hyperbolic Partial Differential Equations / 2.10: |
Propagate-and Reflection of a Small-Amplitude Wave / 2.11: |
Propagation and Reflection of a Small-Amplitude Wave |
Propagation of a Finite-Amplitude Wave: Formation of a Shock / 2.12: |
An Application to Biological Fluid Dynamics: Flow in an Elastic Tube / 2.13: |
Viscous Fluid Flows / 3: |
Governing Equations for Viscous Flows / 3.1: |
Self-Similar Laminar Boundary-Layer Flows / 3.2: |
Hit-Plate Thermometer Problem-Ordinary Boundary-Value Problems Involving Derivative Boundary Conditions / 3.5: |
Pipe and Oren-Channel Flows / 3.4: |
Explicit Methods for Solving Parabolic Partial Differential Equations-Generalized Rayleigh Problem |
Implicit Methods for Solving Parabolic Partial Differential Equations-Starting Flow in a Channel / 3.6: |
Numerical Solution of Biharmonic Equations-Stokes Flows / 3.7: |
Flow Stability and Pseudo-Spectral Methods / 3.8: |
Numerical Solution of the Incompressible Navier-Stokes Equation / 4: |
Flow around a Sphere at Finite Reynolds Numbers-Galerkin Method / 4.1: |
Upwind Differencing and Artificial Viscosity / 4.2: |
Benard and Taylor Instabilities / 4.3: |
Primitive Variable Formulation: Algorithmic Considerations / 4.4: |
Primitive Variable Formulation: Numerical Integration of the Navier-Stokes Equation / 4.5: |
Flow Past a Circular Cylinder: An Example for the Vorticity-Stream Function Formulation / 4.6: |
Bibliography |
Index |
Preface |
Flow Topics Governed by Ordinary Differential Equations: Initial-Value Problems / 1: |
Numerical Solution of Ordinary Differential Equations: Initial-Value Problems / 1.1: |
Free Falling of a Spherical Body / 1.2: |
Computer Simulation of Some Restrained Motions / 1.3: |
Fourth-Order Runge-Kutta Method for Computing Two-Dimensional Motions of a Body through a Fluid / 1.4: |