## Numerical Computation of Internal and External Flows: Computational methods for inviscid and viscous flowsThis is the second of two volumes which together provide a comprehensive account of the numerical computation of internal and external flows. Volume 1 is concerned with descriptions of the methods involved. This second volume complements it by dealing with the application of computational methods to the problems of fluid dynamics. The coverage is comprehensive, including discussion of the equations used and the circumstances for which they are suitable, the numerical techniques used and their solution, and methods for producing computer programs. |

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### Contents

THE NUMERICAL COMPUTATION OF POTENTIAL | 1 |

The Discretization of the Subsonic Potential Equation | 26 |

The Computation of Stationary Transonic Potential Flows | 57 |

Copyright | |

10 other sections not shown

### Common terms and phrases

AIAA AIAA Paper airfoil applied artificial dissipation artificial viscosity Beam and Warming boundary conditions Burgers equation calculations cell Chapter characteristic variables coefficients components Computational Fluid Dynamics conservation laws conservative variables convection convergence defined density derivative discontinuity dissipation terms eigenvalues eigenvectors entropy Euler equations explicit extrapolation Figure finite difference finite element finite volume finite volume method first-order upwind scheme flux splitting flux vector formulation function Hence hyperbolic implicit scheme inlet inviscid isentropic Jacobian Jacobian matrix Jameson Lax—Wendroff scheme Leer left eigenvectors Lerat limiter linear MacCormack scheme Mach number matrix mesh points method Navier–Stokes equations non-linear numerical flux obtained one-dimensional Osher potential equation potential flow pressure Problem propagation properties Riemann scalar second-order accuracy Section shock tube Shock Tube Flow ſº sonic stability step subsonic supersonic transonic transonic flow TVD schemes two-dimensional values variation velocity viscosity wave x-Coordinate