Natural convection in a closed cavity under stochastic non-boussinesq conditions


Journal Article

A stochastic projection method (SPM) is developed for quantitative propagation of uncertainty in compressible zero-Mach-number flows. The formulation is based on a spectral representation of uncertainty using the polynomial chaos (PC) system, and on a Galerkin approach to determining the PC coefficients. Governing equations for the stochastic modes are solved using a mass-conservative projection method. The formulation incorporates a specially tailored stochastic inverse procedure for exactly satisfying the mass-conservation divergence constraints. A brief validation of the zero-Mach-number solver is first performed, based on simulations of natural convection in a closed cavity. The SPM is then applied to analyze the steady-state behavior of the heat transfer and of the velocity and temperature fields under stochastic non-Boussinesq conditions. © 2004 Society for Industrial and Applied Mathematics.

Full Text

Duke Authors

Cited Authors

  • Le Maître, O; Reagan, MT; Debusschere, B; Najm, HN; Ghanem, RG; Knio, OM

Published Date

  • April 15, 2005

Published In

Volume / Issue

  • 26 / 2

Start / End Page

  • 375 - 394

International Standard Serial Number (ISSN)

  • 1064-8275

Digital Object Identifier (DOI)

  • 10.1137/S1064827503422853

Citation Source

  • Scopus