Statistical moments of the random linear transport equation

Authors:
Fábio A. Dorini;M. Cristina C. Cunha
Affiliations:
Department of Mathematics, DAMAT, Federal Technologic University of the Paraná - UTFPR, 80230-901, Curitiba, PR, Brazil;Department of Applied Mathematics, IMECC, University of Campinas - UNICAMP, 13083-970, Campinas, SP, Brazil
Venue:
Journal of Computational Physics
Year:
2008

Citing 2
Cited 2

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On the evaluation of moments for solute transport by random velocity fields

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Spectral element approximation of Fredholm integral eigenvalue problems

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Abstract

This paper deals with a numerical scheme to approximate the mth moment of the solution of the one-dimensional random linear transport equation. The initial condition is assumed to be a random function and the transport velocity is a random variable. The scheme is based on local Riemann problem solutions and Godunov's method. We show that the scheme is stable and consistent with an advective-diffusive equation. Numerical examples are added to illustrate our approach.