Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modeling

Codina, Ramon; Principe, Javier; Ávila, Mr. Matías

doi:10.1108/96155391080001573

Cited by 6 publications

(2 citation statements)

References 23 publications

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“…Early papers are on the stationary case in [6,4] and for the time-dependent cases in [7]. An extension of VMS methods to non-isothermal flows based on equal-order interpolation of all unknowns has been considered in [9]. To the best of our knowledge, there are no papers dealing with the numerical analysis of thermally coupled turbulent flows.…”

Section: Introductionmentioning

confidence: 99%

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A Projection-Based Variational Multiscale Method for Large-Eddy Simulation With Application to Non-Isothermal Free Convection Problems

Löwe

Lube

2012

Math. Models Methods Appl. Sci.

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We consider a projection-based variational multiscale method for large-eddy simulation of the Navier–Stokes/Fourier model of incompressible, non-isothermal flows. For the semidiscrete problem, an a priori error estimate is given for rather general nonlinear, piecewise constant coefficients of the subgrid models for the unresolved scales of velocity, pressure, and temperature. Then we address aspects of the discretization in time. Finally, the design of the subgrid scale models is specified for the case of free convection problems and studied for the standard benchmark problem of free convection in a closed cavity.

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Section: Introductionmentioning

confidence: 99%

“…0,t;L 2 (Ω)) < ∞, (0,t;L 2 (Ω)) D u 2 L 4 (0,t;L 2 (Ω)) < ∞via Poincaré-Friedrichs inequality (3) and Hölder inequality. With the regularity assumptions of Theorem 3.4, in particular assumptions(9) and…”

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confidence: 99%