Navier-stokes calculations with a coupled strongly implicit method Part II: Spline deferred-corrector solutions
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The coupled strongly implicit (CSIP) method described in Part I of this study is combined with a deferred-corrector spline solver for the vorticity-stream function form of the Navier-Stokes equations. Solutions for cavity, channel and cylinder flows are obtained with the fourth-order spline 4 procedure. The strongly coupled spline corrector method converges as rapidly as the finite difference calculations of Part I and also allows for arbitrary large time increments for the Reynolds numbers considered, (Re ≤ 1000). In some cases fourth-order smoothing or filtering is required in order to suppress high frequency oscillations.
KeywordsImplicit Method Spline Curve Splitter Plate Alias Error Deferred Corrector
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