Abstract
AbstractThe exact solution of the Lamb–Oseen vortices is reported for a random viscosity characterized by a Gamma probability density function. This benchmark solution allowed to quantify the analytic error of the polynomial chaos (PC) expansion as a function of the number of stochastic modes considered and compare it with its numerical counterpart. The last was obtained in the framework of the PC expansion method together with a finite difference numerical discretization of the resulting system of Navier–Stokes equations for the expansion modes considered. The obtained solution may be used to test other numerical approaches for the solution of the Navier–Stokes equations with random inputs. Copyright © 2009 John Wiley & Sons, Ltd.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Numerical Methods in Biomedical Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
