Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements

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摘要

In this paper, we consider inf-sup stable finite element discretizations of the evolutionary Boussinesq equations with a grad-div type stabilization. We prove error bounds for the method with constants independent on the Rayleigh numbers.

论文关键词:Boussinesq equations,Inf-sup stable finite element methods,Grad-div stabilization,High Rayleigh number flows

论文评审过程:Received 22 March 2018, Revised 28 September 2018, Accepted 26 December 2018, Available online 11 January 2019, Version of Record 11 January 2019.

论文官网地址:https://doi.org/10.1016/j.amc.2018.12.062