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Analysis of 2‐D Steady Incompressible viscous Flow on Microcomputers Via Vorticity‐Streamline Mixed Finite Elements
Author(s) -
MIRZA FAROOQUE A.
Publication year - 1986
Publication title -
computer‐aided civil and infrastructure engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.773
H-Index - 82
eISSN - 1467-8667
pISSN - 1093-9687
DOI - 10.1111/j.1467-8667.1986.tb00120.x
Subject(s) - solver , finite element method , incompressible flow , flow (mathematics) , vorticity , compressibility , mathematics , mathematical analysis , mixed finite element method , domain (mathematical analysis) , geometry , mechanics , mathematical optimization , physics , vortex , engineering , structural engineering
A mixed, isoparametric finite element model for analysis of two‐dimensional, steady, incompressible Newtonian flows for a microcomputer has been developed. An ad hoc mixed variational principle, in terms of vorticity ω and streamline φ functions, has been used in the finite element formulation. The six‐node, isoparametric element has been employed in the computer program VISFLOW‐2D which uses the newton‐Raphson method to perform the nonlinear analysis. Computed ω and φ functions over a given domain are then used by the computer program PRESS‐2D, to calculate the pressure distribution. The unsymmetric frontal solver is used to solve the linearized equations in ω‐φ formulation and the symmetric frontal solver in the pressure formulation. A postprocessor has also been developed to plot the contours for ω, φ, and p, called CONT. This program splits each deformed or undeformed six‐node, isoparametric element into 16 three‐node triangular elements and computes the nodal values for the resulting elements before a linear interpolation is employed for plotting a contour. The procedure for analysis of steady, two‐dimensional, incompressible viscous flow was then used to solve the problem of flow around a cylinder on a microcomputer.