## A finite-difference scheme for viscous, incompressible flow |

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### Contents

Solution Procedure | 5 |

Approximation of Spatial Derivatives | 10 |

Linear Stability of FiniteDifference Schemes | 16 |

5 other sections not shown

### Common terms and phrases

15 Time Steps 50 cont accuracy algorithm analogue analytic solution boundary conditions Boundary Layer Transition calculated Cavity Flow Co-Chair constant grid spacing convective term Convergence Characteristic Crank-Nicholson type dependent variable developed difference operator matrix eigenvalue energy method explicit Fasel Finite-Difference Scheme flow field formulation fourth-order accurate fully implicit scheme governing equations grid points Haltimer/Williams Helsinky University incompressible flow inlet velocity instability integration domain iterative solution Laminar Boundary Layer Lindroos linear stability linear stability theory maximum mesh ratio Navier-Stokes equation Newtonian fluid number of space Numerical Integration numerical scheme Numerical Solution operator matrices partial differential equations Pearson Poisson equation polynomials Professor Sinai Rand recirculation zone relative error rows of image scheme chosen solved space steps spectral radius Springer Verlag Steady Steps Fig stream function field successive overrelaxation symmetric tangential velocity Taylor series truncation error unconditionally stable Variation of Number vector Viscous vortex vorticity transport Wilfried Fenske ZURMUEHL