The steady Navier-Stokes/energy system with temperature-dependent viscosity. II: The discrete problem and numerical experiments. (English) Zbl 1127.76019
Summary: In this second part, we analyse the associated discrete problem arising from a conforming finite element method formulation of the mathematical model presented in the first part [see the foregoing entry Zbl 1127.76018]. Thus, existence and uniqueness of the discrete solution when using small enough data are stated following the same strategy used in the continuous case, with a Cea’s type error estimate established as the main result. Some numerical experiments, steady and unsteady, are performed, which allow us to validate the previous mathematical model and its discrete approximation.
MSC:
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76R05 | Forced convection |
| 76R10 | Free convection |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Citations:
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