LBB stability of a mixed Galerkin finite element pair for fluid flow simulations

DOI10.1016/j.jcp.2008.09.014zbMath1409.76058OpenAlexW2100638655MaRDI QIDQ1010320

David A. Ham, Sebastian Reich, Colin John Cotter, Christopher C. Pain

Publication date: 3 April 2009

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

Full work available at URL: http://hdl.handle.net/10044/1/12773

zbMATH Keywords

wave equationfinite elementsincompressible flowLBB stability

Mathematics Subject Classification ID

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)

Related Items (14)

Adapting and optimising fluidity for high-fidelity coastal modelling ⋮ The shape and motion of gas bubbles in a liquid flowing through a thin annulus ⋮ A short note on the discontinuous Galerkin discretization of the pressure projection operator in incompressible flow ⋮ Rapid development and adjoining of transient finite element models ⋮ Non-intrusive reduced order modelling of fluid-structure interactions ⋮ Hybrid large eddy simulation for low-order discontinuous Galerkin methods using an explicit filter ⋮ A discontinuous/continuous low order finite element shallow water model on the sphere ⋮ Optimal Constrained Interpolation in Mesh-Adaptive Finite Element Modeling ⋮ Conservative interpolation between volume meshes by local Galerkin projection ⋮ Non-linear Petrov-Galerkin methods for reduced order modelling of the Navier-Stokes equations using a mixed finite element pair ⋮ Practical evaluation of five partly discontinuous finite element pairs for the non-conservative shallow water equations ⋮ Numerical wave propagation for the triangular \(P1_{DG}-P2\) finite element pair ⋮ Consistency and local conservation in finite-element simulation of flow in porous media ⋮ A structure-preserving split finite element discretization of the split wave equations

Uses Software

• Triangle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discontinuous Galerkin spectral/\(hp\) element modelling of dispersive shallow water systems
• Topics in computational wave propagation. Direct and inverse problems
• Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
• Error-bounds for finite element method
• Simulating Hamiltonian Dynamics
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
• Discontinuous Galerkin Finite Element Method for the Wave Equation

This page was built for publication: LBB stability of a mixed Galerkin finite element pair for fluid flow simulations