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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. (English) Zbl 07613024

Appl. Math., Praha 67, No. 6, 805-829 (2022).
Summary: 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.

MSC:

35Q35 PDEs in connection with fluid mechanics
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

Keywords:

isogeometric analysis; turbulence modeling; spurious oscillations; stabilization techniques; B-splines; backward-facing step
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\textit{B. Bastl} et al., Appl. Math., Praha 67, No. 6, 805--829 (2022; Zbl 07613024)
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References:

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