## Numerical Methods in Fluid Dynamics: Lectures given at the 3rd 1983 Session of the Centro Internationale Matematico Estivo (CIME) held at Como, Italy, July 7-15, 1983 |

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### Contents

Content | 2 |

Transonic Flow Calculations by Least Squares | 20 |

Numerical Solution of the Time Dependent | 36 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

AIAA airfoil Applied approximation assume boundary conditions boundary layer Chebyshev coefficients collocation compute conjugate gradient algorithm consider convergence corresponding defined denote differential equations differential operators Dirichlet Dirichlet problem discrete dissipative terms Edited eigenvalues elliptic equivalent estimate Euler equations example Figure Finite Difference finite element method Finite Volume Method Fluid Dynamics flux follows Fourier Furthermore GLOWINSKI grid Hence implies incompressible inequality integral iteration Jameson kernel least squares least squares formulation least squares problem Lemma linear Math matrix mesh multigrid Navier-Stokes equations nonlinear norm normally solvable Numerical Methods obtain operator with index points polynomial potential flow Predholm operator Proc Proceedings proof of Theorem prove pseudospectral resp satisfies scheme selfadjoint shock wave simulation singular smooth Sobolev spaces solve spectral methods stability steady step Theory tion transonic flow upwind variational vector velocity viscous flows