Statistical moments of the random linear transport equation
| Autor: | Fabio Antonio Dorini, M. Cristina C. Cunha |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Numerical Analysis
Partial differential equation Physics and Astronomy (miscellaneous) Applied Mathematics Mathematical analysis Random function Godunov's scheme Computer Science Applications Moment (mathematics) Computational Mathematics symbols.namesake Riemann problem Modeling and Simulation symbols Initial value problem Convection–diffusion equation Random variable Mathematics |
| Zdroj: | Journal of Computational Physics. 227:8541-8550 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2008.06.002 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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