The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows. (English) Zbl 1375.76069
Summary: We present a high-order implicit large-eddy simulation (ILES) approach for transitional aerodynamic flows. The approach encompasses a hybridized discontinuous Galerkin (DG) method for the discretization of the Navier-Stokes (NS) equations, and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG methods with an efficient solution procedure leads to a high-order accurate NS solver that is competitive to alternative approaches, such as finite volume and finite difference codes, in terms of computational cost. The proposed approach is applied to transitional flows over the NACA 65-(18)10 compressor cascade and the Eppler 387 wing at Reynolds numbers up to \(460,000\). Grid convergence studies are presented and the required resolution to capture transition at different Reynolds numbers is investigated. Numerical results show rapid convergence and excellent agreement with experimental data. In short, this work aims to demonstrate the potential of high-order ILES for simulating transitional aerodynamic flows. This is illustrated through numerical results and supported by theoretical considerations.
MSC:
| 76F65 | Direct numerical and large eddy simulation of turbulence |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 76N20 | Boundary-layer theory for compressible fluids and gas dynamics |
Keywords:
discontinuous Galerkin methods; implicit large-eddy simulation; Navier-Stokes iterative solvers; high-order methods; laminar separation bubble; transition to turbulenceReferences:
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