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Fourier analysis of an equal-order incompressible flow solver stabilized by pressure-gradient projection

Author
Buscaglia, G.; Basombrío, F.; Codina, R.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2000-09
Volume
34
Number
1
First page
65
Last page
92
DOI
10.1002/1097-0363(20000915)34:1<65::AID-FLD56>3.0.CO;2-J
URL
http://onlinelibrary.wiley.com/doi/10.1002/1097-0363%2820000915%2934:1%3C65::AID-FLD56%3E3.0.CO;2-J/abstract Open in new window
Abstract
Fourier analysis techniques are applied to the stabilized finite element method (FEM) recently proposed by Codina and Blasco for the approximation of the incompressible Navier–Stokes equations, here denoted by pressure gradient projection (SPGP) method. The analysis is motivated by spurious waves that pollute the computed pressure in start-up flow simulation. An example of this spurious phenomenon is reported. It is shown that Fourier techniques can predict the numerical behaviour of stabilize...
Keywords
incompressible flow, spurious pressure wave, stabilized methods, von Neumann's analysis
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

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