A note on the Riemann problem for the random transport equation
AUTOR(ES)
Cunha, Maria Cristina de Castro, Dorini, Fábio Antonio
FONTE
Computational & Applied Mathematics
DATA DE PUBLICAÇÃO
2007
RESUMO
We present an explicit expression to the solution of the random Riemann problem for the 1D random linear transport equation. We show that the random solution is a similarity solution and the statistical moments have very simple expressions. Furthermore, we verify that the mean, the variance, and the 3rd central moment agree quite well with Monte Carlo simulations. We point out that our approach could be useful in designing numerical methods for more general random transport problems.
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