4. Construction of DF diagrams for operators in the 1er order (transport)

Conservation laws form a very important class of physics equations. If we denote by C the scalar whose conservation we wish to write (concentration, for example) and by $\vec{F}$ the associated flux vector (which enables us to calculate the hourly flow of C through a given surface), the conservation of C over a volume V is written :

\frac{d}{d t} \int_{V} C + \int_{\partial V}

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Construction of DF diagrams for operators in the 1er order (transport)

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References

(1) - BRENIER (Y.), HENNART (J.-P.) - Introduction to numerical hyperbolic equations. - Cours IIMAS-UNAM. Mexico DF, Mexique (1983).
(2) - CIARLET (P.G.) - Introduction à l'analyse numérique matricielle et à l'optimisation. - Masson (1982).