Stabilisation of spectral/\(hp\) element methods through spectral vanishing viscosity: Application to fluid mechanics modelling

DOI10.1016/j.cma.2004.09.019zbMath1115.76060OpenAlexW2114738592WikidataQ60059743 ScholiaQ60059743MaRDI QIDQ2372365

Robert M. Kirby, Spencer J. Sherwin

Publication date: 26 July 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2004.09.019

zbMATH Keywords

incompressible Navier-Stokes equationspolynomial de-aliasingvelocity correction splitting scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items

\textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations, Linear dispersion-diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/\(hp\) methods, Unsteady flow prediction from sparse measurements by compressed sensing reduced order modeling, High-order large-eddy simulation of flow over the “Ahmed body” car model, Insights on aliasing driven instabilities for advection equations with application to Gauss-Lobatto discontinuous Galerkin methods, Non-modal growth of finite-amplitude disturbances in oscillatory boundary layer, Asymptotic Galerkin convergence and dynamical system results for the 3-D spectrally-hyperviscous Navier-Stokes equations on bounded domains, Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods, The Legendre-Burgers equation: when artificial dissipation fails, Direct numerical simulation of the turbulent kinetic energy and energy dissipation rate in a cylinder wake, Nektar++: an open-source spectral/\(hp\) element framework, Stabilization of the spectral element method in convection dominated flows by recovery of skew-symmetry, Fractional Burgers equation with nonlinear non-locality: spectral vanishing viscosity and local discontinuous Galerkin methods, High-order spectral collocation method using tempered fractional Sturm-Liouville eigenproblems, Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes, Adaptive modal filters based on artificial and spectral viscosity techniques, Numerical dissipation vs. subgrid-scale modelling for large eddy simulation, An interior penalty stabilised incompressible discontinuous Galerkin-Fourier solver for implicit large eddy simulations, Adapting the spectral vanishing viscosity method for large-eddy simulations in cylindrical configurations, The bypass transition mechanism of the Stokes boundary layer in the intermittently turbulent regime, Turbulent wake characteristics for a circular cylinder in proximity to a moving wall, Dispersion-Dissipation Analysis for Advection Problems with Nonconstant Coefficients: Applications to Discontinuous Galerkin Formulations, \textit{Nektar}++: enhancing the capability and application of high-fidelity spectral/\(hp\) element methods, Temporal/spatial simulation of the stratified far wake of a sphere, Spatial eigenanalysis of spectral/\textit{hp} continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number flows, The parabolised stability equations for 3D flows: implementation and numerical stability, A spectral vanishing viscosity for the LES of turbulent flows within rotating cavities, A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations, Convergence results for a class of spectrally hyperviscous models of 3-D turbulent flow, Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders, Eigensolution analysis of spectral/\(hp\) continuous Galerkin approximations to advection-diffusion problems: insights into spectral vanishing viscosity, Direct numerical simulations of the flow around wings with spanwise waviness, From stratified wakes to rotor-stator flows by an SVV-LES method, High-Reynolds-number wall-modelled large eddy simulations of turbulent pipe flows using explicit and implicit subgrid stress treatments within a spectral element solver, An entropy stable spectral vanishing viscosity for discontinuous Galerkin schemes: application to shock capturing and LES models

Cites Work

• Unnamed Item
• Stabilized spectral element computations of high Reynolds number incompressible flows
• High-order splitting methods for the incompressible Navier-Stokes equations
• Spectral methods on triangles and other domains
• Numerical study of pseudospectral methods in shock wave applications
• De-aliasing on non-uniform grids: algorithms and applications.
• A spectral viscosity method for correcting the long-term behavior of POD models.
• A spectral vanishing viscosity method for large eddy simulations
• A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements
• Performance of under-resolved two-dimensional incompressible flow simulations
• Filter-based stabilization of spectral element methods
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Filtering techniques for complex geometry fluid flows
• Velocity-Correction Projection Methods for Incompressible Flows
• High-Order Methods for Incompressible Fluid Flow
• Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Spectral methods for hyperbolic problems