• Corpus ID: 214802009

Apriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for coupled unified Stokes-Brinkman/Transport model

@article{Chowdhury2020AprioriAA,
  title={Apriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for coupled unified Stokes-Brinkman/Transport model},
  author={Manisha Chowdhury and B. V. Rathish Kumar},
  journal={ArXiv},
  year={2020},
  volume={abs/2004.01782}
}
In this study, we present a stabilized finite element analysis for completely unified Stokes-Brinkman problems fully coupled with variable coefficient transient Advection-Diffusion-Reaction equation(VADR). As well we have carried out the stabilized finite element analysis for Stokes-Brinkman model with interface conditions fully coupled with VADR. The viscosity of the fluid, involved in flow problem, depends on the concentration of the solute, whose transport is described by VADR equation. The… 

Apriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for fully coupled Navier-Stokes Transport model

Credibility of the stabilized method is established well through various numerical experiments, presented before concluding, and algebraic approach of approximating the subscales has been considered to arrive at stabilized variational formulation of the coupled system.

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