A variational multi-scale method with spectral approximation of the sub-scales: application to the 1D advection-diffusion equations

DOI10.1016/j.cma.2014.11.025zbMath1425.65154OpenAlexW2059223002MaRDI QIDQ1798569

Dia Ben Mansour, Tómas Chacón-Rebollo

Publication date: 23 October 2018

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.2014.11.025

zbMATH Keywords

stabilizationadvection-diffusionspectral approximationvariational multiscale

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Anisotropic VMS solution of advection-diffusion problems by spectral approximation of sub-grid scales ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations ⋮ A machine learning approach to enhance the SUPG stabilization method for advection-dominated differential problems ⋮ A review of variational multiscale methods for the simulation of turbulent incompressible flows ⋮ On the computation of the stabilized coefficients for the 1D spectral VMS method

Cites Work

• Unnamed Item
• A variational finite element model for large-eddy simulations of turbulent flows
• On Large Eddy Simulation and Variational Multiscale Methods in the numerical simulation of turbulent incompressible flows.
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The variational multiscale method -- a paradigm for computational mechanics
• A unified analysis of mixed and stabilized finite element solutions of Navier-Stokes equations
• Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
• Stabilized finite element methods for the generalized Oseen problem
• A space-time formulation for multiscale phenomena
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
• An analysis technique for stabilized finite element solution of incompressible flows
• Skew symmetric normal operators
• Local projection stabilization of equal order interpolation applied to the Stokes problem
• A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Sensitivity of spectral variational multiscale methods for large-eddy simulation of isotropic turbulence
• The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
• Unbounded Normal Operators in Hilbert Space
• Large eddy simulation and the variational multiscale method

This page was built for publication: A variational multi-scale method with spectral approximation of the sub-scales: application to the 1D advection-diffusion equations