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
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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