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Numerical solution of a Rayleigh-Taylor instability problem

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Publication:1839165
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DOI10.1016/0377-0427(83)90033-XzbMath0511.76097MaRDI QIDQ1839165

Yanyan Li

Publication date: 1983

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

coordinate transformationCrank-Nicolson procedurefree surface equationRayleigh-Taylor instability probleminviscid liquid of finite depth accelerated into gas of semi-infinite extent


Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydrodynamic stability (76E99)


Related Items

Numerical solution of a heated subsidence mound problem in a porous medium ⋮ Numerical solutions for unstable Hele--Shaw flows ⋮ Analytic solutions of unstable interfaces for all density ratios in axisymmetric flows



Cites Work

  • Taylor instability of finite surface waves
  • Solution of Time Dependent Electrochemical Machining Problems by a Co-ordinate Transformation
  • Vortex simulations of the Rayleigh–Taylor instability
  • Three‐dimensional modelling of steam flush for DNAPL site remediation
  • On the non-linear Lamb-Taylor instability
  • Effects of surface tension and viscosity on Taylor instability
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