The linear response of the Lamb–Oseen vortex to stochastic forcing can be decomposed in relation to the azimuthal symmetry of the perturbation given by the azimuthal wavenumberm. In the axisymmetric casem= 0, w
vortexLamb–Oseenstochasticpolynomial chaosNavier–StokesThe exact solution of the LambOseen 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 ...
J. M. C. PereiraJ. C. F. PereiraWileyJ.L. Sereno, J.M.C. Pereira, J.C.F. Pereira, A stochastic Lamb-Oseen vortex solution of the 2D Navier-Stokes equations, Int. J. Numer. Methods Biomed. Eng. 26 (12) (2010) 1756-1763....