Stability analysis of a difference scheme for the Navier-Stokes equations |
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| Authors: | N G Campbell |
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| Institution: | (1) Atlas Computer Laboratory, Chilton, Didcot, Berkshire, England |
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| Abstract: | An application of stability analysis by the energy method is made to a practical problem of unsteady viscous flow solved numerically by Fromm. The practical stability criterion for the scheme is determined and a rigorous proof of convergence to a smooth solution is given. It is also shown how to construct an energy for any 3-level scalar difference equation. |
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