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

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

Magdy A. El-Tawil and AbdelHafeez A. El-Shekhipy
Applied mathematical modelling, Vol.37(8), pp.5756-5773
15/04/2013
DOI: https://doi.org/10.1016/j.apm.2012.08.015

Abstract

Perturbation method HPM Stochastic differential equations Stochastic white noise process WHEP technique Wiener–Hermite expansion (WHE)
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.

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