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C.A. Smethurst, D.J. Silvester and M.D. Mihajlović Unstructured finite element method for the solution of the Boussinesq problem in three dimensions International Journal for Numerical Methods in Fluids 73

Version of Record online: 4 JUL 2013 | DOI: 10.1002/fld.3823

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This paper is concerned with the monolithic finite element discretisation of the Boussinesq problem in three dimensions. We propose a new adaptive time integrator and optimal preconditioned iterative solver. The methodology is tested on physically relevant cases of laterally heated cavities and the Rayleigh-Benard convection.

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