Journal ArticleDOI
On the accuracy of high-order discretizations for underresolved turbulence simulations
Gregor J. Gassner,Andrea Beck +1 more
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TLDR
It is shown that a low-order approximation exhibits unacceptable numerical discretization errors, whereas a naive application of high-order discretizations in those situations is often unstable due to aliasing, so proper stabilization is necessary for a successful computation of underresolved turbulence.Abstract:
In this paper, we investigate the accuracy of a high-order discontinuous Galerkin discretization for the coarse resolution simulation of turbulent flow. We show that a low-order approximation exhibits unacceptable numerical discretization errors, whereas a naive application of high-order discretizations in those situations is often unstable due to aliasing. Thus, for high-order simulations of underresolved turbulence, proper stabilization is necessary for a successful computation. Two different mechanisms are chosen, and their impact on the accuracy of underresolved high-order computations of turbulent flows is investigated. Results of these approximations for the Taylor–Green Vortex problem are compared to direct numerical simulation results from literature. Our findings show that the superior discretization properties of high-order approximations are retained even for these coarsely resolved computations.read more
Citations
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Journal ArticleDOI
Supersonic turbulent flow simulation using a scalable parallel modal discontinuous Galerkin numerical method.
TL;DR: An explicit modal discontinuous Galerkin (DG) method utilizing Implicit Large Eddy Simulation (ILES) is proposed for unsteady turbulent flow simulations involving the three-dimensional Navier-Stokes equations.
Journal ArticleDOI
High-order arbitrary Lagrangian–Eulerian discontinuous Galerkin methods for the incompressible Navier–Stokes equations
TL;DR: In this article, a unified framework for both coupled and splitting-type Navier-Stokes solvers is proposed, which allows implicit and explicit formulations of the convective term, and adaptive time-stepping.
Journal ArticleDOI
Large-Eddy Simulation of Transonic Buffet Using Matrix-Free Discontinuous Galerkin Method
TL;DR: In this article , the authors present an implicit large-eddy simulation of transonic buffet over the OAT15A supercritical airfoil at Mach number 0.73, angle of attack 3.5 deg, and Reynolds number .
Journal ArticleDOI
Application of approximate dispersion-diffusion analyses to under-resolved Burgers turbulence using high resolution WENO and UWC schemes
TL;DR: Both UWC and WENO schemes may be suitable schemes for iLES turbulence modeling, given their numerical dissipation level acting at the appropriate wavenumbers, according to the approximate von Neumann analysis for non-linear schemes introduced by Pirozzoli.
Book ChapterDOI
High Order and Underresolution
TL;DR: This work shows that even in the case of underresolution, high order discontinuous Galerkin approximations yield superior efficiency compared to their lower order variants due to the better dispersion and dissipation behavior.
References
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Journal ArticleDOI
On the identification of a vortex
Jinhee Jeong,Fazle Hussain +1 more
TL;DR: In this article, the authors propose a definition of vortex in an incompressible flow in terms of the eigenvalues of the symmetric tensor, which captures the pressure minimum in a plane perpendicular to the vortex axis at high Reynolds numbers, and also accurately defines vortex cores at low Reynolds numbers.
Book
Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
Jan S. Hesthaven,Tim Warburton +1 more
TL;DR: The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations.
Journal ArticleDOI
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations
Francesco Bassi,Stefano Rebay +1 more
TL;DR: This paper extends a discontinuous finite element discretization originally considered for hyperbolic systems such as the Euler equations to the case of the Navier?Stokes equations by treating the viscous terms with a mixed formulation, and finds the method is ideally suited to compute high-order accurate solution of theNavier?
Journal ArticleDOI
Small-scale structure of the Taylor–Green vortex
TL;DR: In this article, the dynamics of inviscid and viscous Taylor-Green (TG) vortex flows are investigated by both direct spectral numerical solution of the Navier-Stokes equations and by power-series analysis in time.
Journal ArticleDOI
Direct numerical simulation of turbulent flow over riblets
TL;DR: In this article, a drag reduction mechanism by riblets with small spacings was proposed to reduce viscous drag by restricting the location of the streamwise vortices above the wetted surface.
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