Numerical solution of a Rayleigh-Taylor instability problem |
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Authors: | J. Greydanus H. Rasmussen |
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Affiliation: | Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada |
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Abstract: | The numerical solution of a Rayleigh-Taylor instability problem where an inviscid liquid of finite depth is accelerated into a gas of semi-infinite extent is obtained by transforming the irregular flow domain into a rectangular domain by a coordinate transformation. The free surface equation is solved by a Crank-Nicolson procedure. The boundary condition at the free surface for the velocity potential ø which contains the time derivative of ø is also treated by an implicit scheme. The numerical results agree well with those obtained by higher order perturbation analysis. |
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Keywords: | Numerical Rayleigh-Taylor stability |
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