Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods

DOI10.1016/j.jcp.2015.06.020zbMath1349.76131OpenAlexW755493078MaRDI QIDQ2374672

Joaquim Peiró, Rodrigo C. Moura, Spencer J. Sherwin

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.2015.06.020

zbMATH Keywords

discontinuous Galerkin formulationimplicit LESunder-resolved DNSspectral/\(hp\) methodsdispersion-diffusion analysis

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Direct numerical and large eddy simulation of turbulence (76F65) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (57)

Effects of artificial viscosity and upwinding on spectral properties of the discontinuous Galerkin method ⋮ Application of approximate dispersion-diffusion analyses to under-resolved Burgers turbulence using high resolution WENO and UWC schemes ⋮ Split form ALE discontinuous Galerkin methods with applications to under-resolved turbulent low-Mach number flows ⋮ A comparative study from spectral analyses of high-order methods with non-constant advection velocities ⋮ Non-modal analysis of linear multigrid schemes for the high-order flux reconstruction method ⋮ Performance and accuracy of hybridized flux reconstruction schemes ⋮ Data-driven eigensolution analysis based on a spatio-temporal Koopman decomposition, with applications to high-order methods ⋮ Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes ⋮ Discontinuous isogeometric analysis methods for the first-order form of the neutron transport equation with discrete ordinate (\(S_N\)) angular discretisation ⋮ A numerical analysis of the nodal discontinuous Galerkin scheme via flux reconstruction for the advection-diffusion equation ⋮ On the efficiency of a matrix-free linearly implicit time integration strategy for high-order discontinuous Galerkin solutions of incompressible turbulent flows ⋮ Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods ⋮ Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments ⋮ A priori subcell limiting based on compact nonuniform nonlinear weighted schemes of high-order CPR method for hyperbolic conservation laws ⋮ Energy-based discontinuous Galerkin difference methods for second-order wave equations ⋮ High-order discontinuous Galerkin approximation for a three-phase incompressible Navier-Stokes/Cahn-Hilliard model ⋮ Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods ⋮ Discontinuous Galerkin via interpolation: the direct flux reconstruction method ⋮ On consistency and rate of convergence of flux reconstruction for time-dependent problems ⋮ The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows ⋮ Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble ⋮ Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation ⋮ Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes ⋮ Fully-discrete analysis of high-order spatial discretizations with optimal explicit Runge-Kutta methods ⋮ Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows ⋮ High-order projection-based upwind method for implicit large eddy simulation ⋮ A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion equations and high-order discontinuous Galerkin schemes ⋮ On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence ⋮ An interior penalty stabilised incompressible discontinuous Galerkin-Fourier solver for implicit large eddy simulations ⋮ Сравнение точности схем Галеркина с разрывными функциями на примере задач с волной и с вихрем ⋮ On the use of kinetic energy preserving DG-schemes for large eddy simulation ⋮ Spatial eigensolution analysis of energy-stable flux reconstruction schemes and influence of the numerical flux on accuracy and robustness ⋮ Dispersion-Dissipation Analysis for Advection Problems with Nonconstant Coefficients: Applications to Discontinuous Galerkin Formulations ⋮ Spectral properties of high-order element types for implicit large eddy simulation ⋮ Depth-averaged unsteady RANS simulation of resonant shallow flows in lateral cavities using augmented WENO-ADER schemes ⋮ Spatial eigenanalysis of spectral/\textit{hp} continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows ⋮ The discontinuous Galerkin method: derivation and properties ⋮ A Combined-Mode Fourier Analysis of DG Methods for Linear Parabolic Problems ⋮ Fourier Analyses of High-Order Continuous and Discontinuous Galerkin Methods ⋮ Optimal Runge-Kutta stability polynomials for multidimensional high-order methods ⋮ Non-modal analysis of spectral element methods: towards accurate and robust large-eddy simulations ⋮ A discontinuous Galerkin approximation for a wall-bounded consistent three-component Cahn-Hilliard flow model ⋮ A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework ⋮ A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations ⋮ Robust and efficient discontinuous Galerkin methods for under-resolved turbulent incompressible flows ⋮ Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES ⋮ Eigensolution analysis of spectral/\(hp\) continuous Galerkin approximations to advection-diffusion problems: insights into spectral vanishing viscosity ⋮ Jet noise analysis using an efficient LES/high-order acoustic coupling method ⋮ Development of a multiscale LES model in the context of a modal discontinuous Galerkin method ⋮ Gradient jump penalty stabilisation of spectral/\( h p\) element discretisation for under-resolved turbulence simulations ⋮ On the behaviour of fully-discrete flux reconstruction schemes ⋮ Fourier analysis and evaluation of DG, FD and compact difference methods for conservation laws ⋮ Eigenanalysis and non-modal analysis of collocated discontinuous Galerkin discretizations with the summation-by-parts property ⋮ 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 ⋮ Эффективность решения одномерного уравнения Хопфа разрывным методом Галеркина схемами ADER и Рунге-Кутта ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes

Cites Work

• Unnamed Item
• Direct numerical simulation of compressible turbulent channel flows using the discontinuous Galerkin method
• Insights from von Neumann analysis of high-order flux reconstruction schemes
• An implicit high-order spectral difference approach for large eddy simulation
• Compact finite difference schemes with spectral-like resolution
• An analysis of the discontinuous Galerkin method for wave propagation problems
• De-aliasing on non-uniform grids: algorithms and applications.
• A spectral vanishing viscosity method for large eddy simulations
• Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows
• Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. One space dimension
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Implicit subgrid-scale modeling by adaptive deconvolution
• Stabilisation of spectral/\(hp\) element methods through spectral vanishing viscosity: Application to fluid mechanics modelling
• Implicit Large Eddy Simulation of transition to turbulence at low Reynolds numbers using a Discontinuous Galerkin method
• A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods
• Total variation diminishing Runge-Kutta schemes
• A rationale for implicit turbulence modelling
• Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number
• Implicit Large Eddy Simulation
• Spectral/hp Element Methods for Computational Fluid Dynamics
• Statistics of turbulence in a generalized random-force-driven Burgers equation

This page was built for publication: Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods