An implementation of the streamline-upwind/Petrov-Galerkin method for linear triangular elements

DOI10.1016/0045-7825(85)90131-8zbMath0546.76024OpenAlexW2032569603MaRDI QIDQ798111

Akira Mizukami

Publication date: 1985

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(85)90131-8

zbMATH Keywords

linear triangular elementsweighting functionelement dimensionelement Peclet numberstreamline-upwind/Petrov-Galerkin method

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Basic methods in fluid mechanics (76M99)

Related Items

Quadratic, streamline upwinding for finite element method solutions to 2-D convective transport problems, Covolume-upwind finite volume approximations for linear elliptic partial differential equations, Finite element solution for advection-dominated thermal flows, Computation of turbulent flow in a mixed compression intake, Shape Identification for Fluid-Structure Interaction Problem Using Improved Bubble Element, A new upwind function in stabilized finite element formulations, using linear and quadratic elements for scalar convection-diffusion problems, A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle, On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review

Cites Work

• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Finite element methods for second order differential equations with significant first derivatives
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