METHOD OF DISTRIBUTIONS FOR SYSTEMS WITH STOCHASTIC FORCING
نویسندگان
چکیده
The method of distributions is developed for systems that are governed by hyperbolic conservation laws with stochastic forcing. yields a deterministic equation the cumulative distribution function (CDF) system state, e.g., flow velocity an inviscid Burgers random source coefficients. This achieved without recourse to any closure approximation. CDF model verified against Monte Carlo (MC) simulations using spectral numerical approximations. Our analysis demonstrates accurately predicts mean and standard deviation state Gaussian, normal, beta
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ژورنال
عنوان ژورنال: International Journal for Uncertainty Quantification
سال: 2021
ISSN: ['2152-5080', '2152-5099']
DOI: https://doi.org/10.1615/int.j.uncertaintyquantification.2020031940