Discontinuous Galerkin discretization of the Reynolds-averaged Navier-Stokes equations with the shear-stress transport model

DOI10.1016/j.jcp.2013.12.062zbMath1349.76263OpenAlexW1974518472MaRDI QIDQ348850

Ralf Hartmann, Stefan Schoenawa

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.062

zbMATH Keywords

Reynolds-averaged Navier-Stokes equationsdiscontinuous Galerkin methodsaerodynamic flowsmenter SST model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

Generalized adjoint consistent treatment of wall boundary conditions for compressible flows ⋮ A high-order discontinuous Galerkin Chimera method for laminar and turbulent flows ⋮ High-order implementation of a non-local transition model in a DG solver for turbomachinery applications ⋮ Adaptive high-order discretization of the Reynolds-averaged Navier-Stokes equations ⋮ Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations ⋮ On the development of an implicit high-order discontinuous Galerkin method for DNS and implicit LES of turbulent flows ⋮ A high-order discontinuous Galerkin solver for the incompressible RANS equations coupled to the \(k\)-\(\varepsilon\) turbulence model ⋮ An interior penalty stabilised incompressible discontinuous Galerkin-Fourier solver for implicit large eddy simulations ⋮ Discontinuous Galerkin solution of the RANS and \(k_L - k - \log (\omega)\) equations for natural and bypass transition ⋮ High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids

Uses Software

• DLR PADGE
• Spalart-Allmaras

Cites Work

• Adjoint-based error estimation and adaptive mesh refinement for the RANS and \(k-\omega\) turbulence model equations
• New results in numerical and experimental fluid mechanics VII. Contributions to the 16th STAB/DGLR symposium Aachen, Germany, November 3--4, 2008
• High-order accurate discontinuous finite element solution of the 2D Euler equations
• Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
• Reassessment of the scale-determining equation for advanced turbulence models
• Turbulent Flows
• A differential equation for approximate wall distance
• Higher‐order and adaptive discontinuous Galerkin methods with shock‐capturing applied to transonic turbulent delta wing flow
• Wall distance calculation using the Eikonal/Hamilton‐Jacobi equations on unstructured meshes

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