A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers

DOI10.1016/j.camwa.2016.05.012zbMath1404.65159OpenAlexW2468952981MaRDI QIDQ521223

Rodolfo Bermejo, Laura Saavedra

Publication date: 7 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.05.012

zbMATH Keywords

finite elementsNavier-StokesLagrange-Galerkinlocal projection stabilizationhigh Reynolds numbers

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Lagrange-Galerkin methods for the incompressible Navier-Stokes equations: a review ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ New error estimates of Lagrange-Galerkin methods for the advection equation ⋮ A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations ⋮ A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws ⋮ A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem ⋮ Local projection stabilized Lagrange-Galerkin methods for Navier-Stokes equations at high Reynolds numbers

Uses Software

• Turbulence Modeling

Cites Work

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• A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations
• Stabilization by local projection for convection-diffusion and incompressible flow problems
• Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
• Energy conserving Lagrangian approximation for the equations of Navier- Stokes
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• A connection between subgrid scale eddy viscosity and mixed methods
• Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers
• Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems
• A quasi-local interpolation operator preserving the discrete divergence
• Modified Lagrange--Galerkin Methods to Integrate Time Dependent Incompressible Navier--Stokes Equations
• Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Stability of the Lagrange-Galerkin method with non-exact integration
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations
• Convergence Analysis of a Finite Element Projection/Lagrange--Galerkin Method for the Incompressible Navier--Stokes Equations
• Stabilization of Galerkin approximations of transport equations by subgrid modeling
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method

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