Finite element formulation for the vorticity-stream function form of the incompressible Euler equations on multiply-connected domains

DOI10.1016/0045-7825(89)90072-8zbMath0687.76021OpenAlexW1989734871MaRDI QIDQ1263402

Tayfun E. Tezduyar

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90072-8

zbMATH Keywords

finite element formulationincompressible Euler equationsvorticity-stream functioninternal boundariestwo-dimensional multiply-connected domains

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

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Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics, Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method, The finite element discretization for stream-function problems on multiply connected domains, Compatible finite element methods for geophysical fluid dynamics, High order finite difference methods for unsteady incompressible flows in multi-connected domains., Some current CFD issues relevant to the incompressible Navier-Stokes equations, On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows, Inviscid flows over a cylinder, Computation of spatially periodic flows based on the vorticity-stream function formulation, Energy-enstrophy conserving compatible finite element schemes for the rotating shallow water equations with slip boundary conditions

Cites Work

• Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems
• Petrov‐Galerkin methods on multiply connected domains for the vorticity‐stream function formulation of the incompressible Navier‐Stokes equations
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• On the stream function-vorticity finite element solutions of Navier-Stokes equations
• Unnamed Item