Finite element solution of the Stokes problem with dominating Coriolis force

DOI10.1016/S0045-7825(96)01141-3zbMath0896.76038OpenAlexW2007475480MaRDI QIDQ1371712

Ramon Codina, Orlando A. Soto

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)01141-3

zbMATH Keywords

weak formulationnumerical stabilityGalerkin formulationEkman numbernumerical oscillationsskew-symmetric term

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity ⋮ A stabilized finite element method for generalized stationary incompressible flows ⋮ A stabilized edge-based implicit incompressible flow formulation ⋮ On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime ⋮ Numerical solution of the incompressible Navier-Stokes equations with Coriolis forces based on the discretization of the total time derivative ⋮ Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• The Galerkin gradient least-squares method
• Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
• 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
• Two classes of mixed finite element methods
• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• Stabilized mixed methods for the Stokes problem
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
• Stabilized finite element methods. II: The incompressible Navier-Stokes equations
• An analysis of a mixed finite element method for the Navier-Stokes equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
• Mixed and Hybrid Finite Element Methods

This page was built for publication: Finite element solution of the Stokes problem with dominating Coriolis force