论文信息 - On H(div)-conforming Methods for Double-diffusion Equations in Porous Media - 字舞流文

On H(div)-conforming Methods for Double-diffusion Equations in Porous Media

A stationary Navier--Stokes--Brinkman problem coupled to a system of advection-diffusion equations serves as a model for so-called double-diffusive viscous flow in porous media in which both heat a...

Raimund Bürger | Ricardo Ruiz-Baier | Paul E. Méndez | Paul E. Méndez | R. Bürger | R. Ruiz-Baier

[1] L. D. Marini,et al. Two families of mixed finite elements for second order elliptic problems , 1985 .

[2] Chandra Shekar Balla,et al. Soret and Dufour effects on free convective heat and solute transfer in fluid saturated inclined porous cavity , 2015 .

[3] T. Mara,et al. A new benchmark reference solution for double-diffusive convection in a heterogeneous porous medium , 2016 .

[4] Douglas N. Arnold,et al. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems , 2001, SIAM J. Numer. Anal..

[5] José Luiz Boldrini,et al. Stationary solutions for generalized boussinesq models , 1995 .

[6] Rolf Stenberg,et al. H(div)-conforming Finite Elements for the Brinkman Problem , 2011 .

[7] Raimund Bürger,et al. Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption , 2018, SIAM J. Sci. Comput..

[8] Lawrence E. Payne,et al. Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow , 2008 .

[9] Ricardo Ruiz-Baier,et al. Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows , 2017, J. Comput. Phys..

[10] Dominik Schötzau,et al. An exactly divergence-free finite element method for a generalized Boussinesq problem , 2014 .

[11] Ricardo Ruiz-Baier,et al. On a primal-mixed, vorticity-based formulation for reaction-diffusion-Brinkman systems , 2016 .