Geodesic
Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis
Applications of Mathematics, Tome 67 (2022) no. 6, pp. 805-829.

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In this paper, we propose a new stabilization technique for numerical simulation of incompressible turbulent flow by solving Reynolds-averaged Navier-Stokes equations closed by the SST $k$-$\omega $ turbulence model. The stabilization scheme is constructed such that it is consistent in the sense used in the finite element method, artificial diffusion is added only in the direction of convection and it is based on a purely nonlinear approach. We present numerical results obtained by our in-house incompressible fluid flow solver based on isogeometric analysis (IgA) for the benchmark problem of a wall bounded turbulent fluid flow simulation over a backward-facing step. Pressure coefficient and reattachment length are compared to experimental data acquired by Driver and Seegmiller, to the computational results obtained by open source software OpenFOAM and to the NASA numerical results. \looseness +2
DOI : 10.21136/AM.2022.0131-21
Classification : 35Q35, 65M12, 65M60
Keywords: isogeometric analysis; turbulence modeling; spurious oscillations; stabilization techniques; B-splines; backward-facing step 
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     author = {Bastl, Bohum{\'\i}r and Brandner, Marek and Slab\'a, Krist\'yna and Turnerov\'a, Eva},
     title = {Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis},
     journal = {Applications of Mathematics},
     pages = {805--829},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0131-21/}
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Bastl, Bohumír; Brandner, Marek; Slabá, Kristýna; Turnerová, Eva. Consistent streamline residual-based artificial viscosity stabilization for numerical simulation of incompressible turbulent flow by isogeometric analysis. Applications of Mathematics, Tome 67 (2022) no. 6, pp. 805-829. doi : 10.21136/AM.2022.0131-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0131-21/

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