4. Digital implementation

The quantity f _i (x,y,z,t) will be processed by the next element of the matrix f :

f (i x, i y, i z, i t, i) avec {\begin{matrix} x_{(i x)} \equiv (i x - 1) \cdot Δ x \\ y_{(i y)} \equiv (i y - 1) \cdot Δ y \\ z_{(i z)} \equiv (i z - 1) \cdot Δ z \\ t_{(i t)} \equiv (i t - 1) \cdot Δ t \end{matrix} et {\begin{matrix} i x \in {1 \dots N_{x}} \\ i y \in {1 \dots N_{y}} \\ i z \in {1 \dots N_{z}} \\ i t \in {1 \dots N_{t}} \\ i \in {1 \dots Q} \end{matrix}

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Bibliography

(1) - BRUN (R.) - Transport et relaxation dans les écoulements gazeux, - Transp. Relax. dans les écoulements gazeux. R. Brun. Masson, Paris, Fr. 208 pp. Price FF 180.00 (1986).
(2) - GRAD (H.) - On the kinetic theory of rarefied gases, -...

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