Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects

DOI10.1016/S0045-7825(96)01152-8zbMath0898.76068OpenAlexW2050721169MaRDI QIDQ1371692

Norberto M. Nigro, Sergio Rodolfo Idelsohn, Mario Alberto Storti

Publication date: 13 November 1997

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01152-8

zbMATH Keywords

incompressibility conditionSUPG formulationadvection-dominated multidimensional system casemultiply connected square cavityone-dimensional advective-diffusive system limit case

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

Stability analysis of mixed finite element formulations with special mention of equal‐order interpolations ⋮ Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations ⋮ On upwind methods for parabolic finite elements in incompressible flows ⋮ Object-oriented finite elements. IV: Symbolic derivations and automatic programming of nonlinear formulations. ⋮ A stabilized finite element method for generalized stationary incompressible flows ⋮ Computing ship wave resistance from wave amplitude with a non-local absorbing boundary condition ⋮ Numerical Analysis of Thermally Coupled Flow Problems with Interfaces and Phase-change Effects

Cites Work

• Unnamed Item
• Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
• Numerical solution of the Navier-Stokes equations in multiply connected domains
• Compressible and incompressible flow: An algorithm for all seasons
• A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Driven cavity flows by efficient numerical techniques
• A Petrov-Galerkin technique for the solution of transonic and supersonic flows
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• A preconditioning mass matrix to accelerate the convergence to the steady Euler solutions using explicit schemes
• Incompressibility without tears—HOW to avoid restrictions of mixed formulation

This page was built for publication: Equal-order interpolations: A unified approach to stabilize the incompressible and advective effects