On the use of kinetic energy preserving DG-schemes for large eddy simulation

DOI10.1016/j.jcp.2017.09.004zbMath1380.76019arXiv1706.07601OpenAlexW2717923103MaRDI QIDQ1699052

Gregor J. Gassner, David Flad

Publication date: 16 February 2018

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

Full work available at URL: https://arxiv.org/abs/1706.07601

zbMATH Keywords

large eddy simulationdiscontinuous Galerkin methodturbulencedealiasingkinetic energy preservingsplit form

Mathematics Subject Classification ID

Direct numerical and large eddy simulation of turbulence (76F65) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility, A large eddy simulation method for DGSEM using non-linearly optimized relaxation filters, Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system, Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows, High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: scalable SSDC algorithms and flow solver, Dynamical \(p\)-adaptivity for LES of compressible flows in a high order DG framework, On the robustness and performance of entropy stable collocated discontinuous Galerkin methods, Spectral and modal energy transfer analyses of LES using the discontinuous Galerkin method and their application to the variational multiscale approach, A comparative study from spectral analyses of high-order methods with non-constant advection velocities, An entropy-stable discontinuous Galerkin approximation of the Spalart-Allmaras turbulence model for the compressible Reynolds averaged Navier-Stokes equations, A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes, Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes, Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods, Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes, Assessing standard and kinetic energy conserving volume fluxes in discontinuous Galerkin formulations for marginally resolved Navier-Stokes flows, Variational multiscale super‐resolution: A data‐driven approach for reconstruction and predictive modeling of unresolved physics, A sub-element adaptive shock capturing approach for discontinuous Galerkin methods, Residual estimation for grid modification in wall-modeled large eddy simulation using unstructured high-order methods, A framework for high-fidelity particle tracking on massively parallel systems, Split Form Discontinuous Galerkin Methods for Conservation Laws, \texttt{HORSES3D}: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications, A low-dissipation DG method for the under-resolved simulation of low Mach number turbulent flows, A wall model for external laminar boundary layer flows applied to the wall-modeled les framework, Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations, FLEXI: a high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws, Construction of modern robust nodal discontinuous Galerkin spectral element methods for the compressible Navier-Stokes equations, A comparison of interpolation techniques for non-conformal high-order discontinuous Galerkin methods, Impact of wall modeling on kinetic energy stability for the compressible Navier-Stokes equations, Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows, Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations, Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem, Implicit large eddy simulations for NACA0012 airfoils using compressible and incompressible discontinuous Galerkin solvers, A high-order multiscale approach to turbulence for compact nodal schemes, Entropy stable space-time discontinuous Galerkin schemes with summation-by-parts property for hyperbolic conservation laws, On the entropy conserving/stable implicit DG discretization of the Euler equations in entropy variables, High-Reynolds-number wall-modelled large eddy simulations of turbulent pipe flows using explicit and implicit subgrid stress treatments within a spectral element solver, Spectral/hp element methods' linear mechanism of (apparent) energy transfer in Fourier space: insights into dispersion analysis for implicit LES, Entropy conserving implicit time integration in a discontinuous Galerkin solver in entropy variables

Uses Software

• L2Roe

Cites Work

• High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
• Fourth-order Runge-Kutta schemes for fluid mechanics applications
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• On the effect of numerical errors in large eddy simulations of turbulent flows
• Dealiasing techniques for high-order spectral element methods on regular and irregular grids
• High order conservative finite difference scheme for variable density low Mach number turbulent flows
• De-aliasing on non-uniform grids: algorithms and applications.
• A robust high-order compact method for large eddy simulation.
• On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
• Discretization errors in large eddy simulation: on the suitability of centered and upwind-biased compact difference schemes
• Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods
• Simulation of underresolved turbulent flows by adaptive filtering using the high order discontinuous Galerkin spectral element method
• Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations
• Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid
• An adaptive local deconvolution method for implicit LES
• A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
• Implicit Large Eddy Simulation of transition to turbulence at low Reynolds numbers using a Discontinuous Galerkin method
• Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
• A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
• Direct numerical simulation of turbulent channel flow up to Reτ=590
• Large eddy simulation using high-resolution and high-order methods
• Two-Point Closure Used for a Sub-Grid Scale Model in Large Eddy Simulations
• Suitability of Upwind-Biased Finite Difference Schemes for Large-Eddy Simulation of Turbulent Flows
• A dynamic subgrid-scale eddy viscosity model
• Numerical Methods for High-Speed Flows
• Effects of Wavenumber Truncation on High-Resolution Direct Numerical Simulation of Turbulence
• Large eddy simulation and the variational multiscale method