Statistical analysis of the stochastic solution processes of 1-D stochastic Navier–Stokes equation using WHEP technique

Abstract

In this paper, the one dimensional Navier–Stokes equation under stochastic excitation is analysed using WHEP technique. The Wiener Hermite expansion properties are used together with the perturbation technique (WHEP) to obtain an approximate formula for the ensemble average, variance and higher statistical moments of the solution process. Some case studies are considered to illustrate the method of analysis.