Numerical Flow Simulation I: CNRS-DFG Collaborative Research by W. Borchers, M. Y. Forestier, S. Kräutle, R. Pasquetti, R.

By W. Borchers, M. Y. Forestier, S. Kräutle, R. Pasquetti, R. Peyret, R. Rautmann, N. Roß (auth.), Prof. Dr. Ernst Heinrich Hirschel (eds.)

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Extra resources for Numerical Flow Simulation I: CNRS-DFG Collaborative Research Programme, Results 1996–1998

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01 i' I ·\i . · • • • .. , .... '1j ..................... ' .... 4········ .. ····· .. ······· " .......... ···,··· ...... '.. 1.......... ·.... ·,........ · .... r· . · ·. ····,··· . · . :::1 . · · · . · · . · ••••• , .. • .. ••••• .. I ! [ ·····t· ............................ .. ~ '. _ ..... ,·. -,','. :: . • L ...................... +.. i........................ T~ [ J .. ·...... ·.. ·" ...... ............ · .. :.... ·;.... F +. . ::::::.. : __ . ::::::::::. 0047 5 Conclusion The hybrid Spectral / Finite difference - CGBI method turns out to be a robust and efficient method to solve elliptic problems.

The solution and the solution gradients in the cells at the boundary of these coarser grids are frozen. Thus, distinct problems are defined with particular boundary conditions. As a consequence, a local multi-grid strategy is defined. In the case of adaptively refined grids, strongly refined zones are zones where the transient and high frequencies of the error of the initial solution are dominant; poorly refined zones are zones where the transient and low frequencies of the solution error are weaker, and hence require less smoothing.

L.............. ···· -................... • ..... > . {: f: -+--. ::::::::::i\ :........ . '... -... 01 i' I ·\i . · • • • .. , .... '1j ..................... ' .... 4········ .. ····· .. ······· " .......... ···,··· ...... '.. 1.......... ·.... ·,........ · .... r· . · ·. ····,··· . · . :::1 . · · · . · · . · ••••• , .. • .. ••••• .. I ! [ ·····t· ............................ .. ~ '. _ ..... ,·. -,','. :: . • L ......................

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