We consider the virtual element discretization of the Navier–Stokes equations coupled with
the heat equation where the viscosity depends on the temperature. We present the virtual …

In the present work we propose and analyze a fully-coupled virtual element method of high
order for solving the two dimensional nonstationary Boussinesq system in terms of the …

In this paper we study a phase change problem for non-isothermal incompressible viscous
flows. The underlying continuum is modelled as a viscous Newtonian fluid where the …

We present and distribute a new numerical system using classical finite elements with mesh
adaptivity for computing two-dimensional liquid–solid phase-change systems involving …

We present and distribute a FreeFem++ Toolbox for the parallel computing of two-or three-
dimensional liquid–solid phase-change systems involving natural convection. FreeFem++ …

In this paper we propose a new mixed-primal formulation for heatdriven flows with
temperature-dependent viscosity modeled by the stationary Boussinesq equations. We …

In this paper we consider a steady phase change problem for non-isothermal
incompressible viscous flow in porous media with an enthalpy-porosity-viscosity coupling …

This article is concerned with the mathematical and numerical analysis of a steady phase
change problem for non-isothermal incompressible viscous flow. The system is formulated in …

Newton linearization is implemented for the discretized advection terms in the Navier-Stokes
momentum equations. A modified Newton linearization algorithm is developed by analyzing …

In this paper, we propose a full discretization scheme for the instationary thermal-electro-
hydrodynamic (TEHD) Boussinesq equations. These equations model the dynamics of a …