2021/02/18 by Manisha Chowdhury, Brajesh Kumar, Chowdhury, Manisha +2 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Advection #Composite Material Mechanics #Diffusion #Element (criminal law) #FOS: Mathematics #Finite element method #Law #Mathematics #Mechanics #Newtonian fluid #Non-Newtonian fluid #Numerical Analysis (math.NA) #Physics #Political science #Power law #Power-law fluid #Thermodynamics #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2102.09170
published in arXiv (Cornell University) (Cornell University)
arxiv created 2021/02/18 · openalex publication_date 2021/02/18 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article presents stability and convergence analyses of subgrid multiscale stabilized finite element formulation of non-Newtonian power-law fluid flow model strongly coupled with variable coefficients Advection-Diffusion-Reaction (VADR) equation. Considering the highly non-linear viscosity coefficient as solute concentration dependent makes the coupling two way. The stabilized formulation of the transient coupled system is developed based upon time dependent subscales, which ensures inherent consistency of the method. The proposed algebraic expressions of the stabilization parameters appropriately shape up the apriori and aposteriori error estimates. Both the shear thinning and shear thickening properties, indicated by different power-law indices are properly highlighted in theoretical derivations as well as in numerical validations. The numerical experiments carried out for different combinations of small and large Reynolds numbers and power-law indices establish far better performance of time dependent ASGS method in approximating the solution of this coupled system for all the cases over the other well known stabilized finite element methods.