## Computational Techniques for Fluid Dynamics: Specific techniques for different flow categoriesThe purpose of this textbook is to provide senior undergraduate and postgraduate engineers, scientists and applied mathematicians with the specific techniques, and the framework to develop skills in using the techniques, that have proven effective in the various brances of computational fluid dynamics. |

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### Contents

The Governing Equations | 1 |

Partial Differential Equations | 17 |

Generalised Curvilinear Coordinates | 46 |

Copyright | |

21 other sections not shown

### Common terms and phrases

accurate solutions aerofoil algorithm approximate factorisation behaviour boundary conditions boundary layer boundary layer flow centred difference Chap compressible flow computational domain constructed continuity equation convective convergence density derivatives described in Sect differencing discretisation displacement thickness downstream march duct dx dy eddy viscosity efficient elliptic equivalent Euler equations evaluated explicit finite difference finite element method flow direction fluid FORMATC Fourier analysis generalised coordinates given governing equations grid points implicit incompressible interior grid interpolation introduced inviscid flow iteration laminar Mach number method Sect momentum equations multigrid Navier-Stokes equations Neumann boundary conditions nondimensional obtained one-dimensional orthogonal plane Poisson equation potential problem produces pseudotransient region Reynolds number right-hand side RNS equations second-order shock shown in Fig solid surface solved steady flow step stream function subroutine subsonic supersonic system of equations techniques three-dimensional time-step transonic transverse tridiagonal system two-dimensional typically unsteady values variables velocity components viscous flow vorticity