{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:32:35Z","timestamp":1787337155495,"version":"3.56.0"},"reference-count":26,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.1137\/s1064827503422853","type":"journal-article","created":{"date-parts":[[2005,1,10]],"date-time":"2005-01-10T21:00:25Z","timestamp":1105390825000},"page":"375-394","source":"Crossref","is-referenced-by-count":30,"title":["Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions"],"prefix":"10.1137","volume":"26","author":[{"given":"Olivier","family":"Le Ma\u0131\u2041tre","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M. 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