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During advection, a fluid transports some conserved quantity or material via bulk motion. The fluid's motion is described mathematically as a vector field, and the transported material is described by a scalar field showing its distribution over space.
Advection Equation. ft of incompress-ible fluid. In the case that a particle density u(x,t) changes only due to conve. u(x, t + t) = u(x−c t, t). If t is sufficient small, the Taylor-expansion of both sides gives. ¶u(x,t) ¶u(x,t) u(x,t)+ t. ¶t. ≃ u(x,t)−c t. ¶x. or, equivalently. ¶u ¶u. +c = 0. ¶t. ¶x. (2.1)
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2 paź 2016 · In this chapter, we present the fundamentals of the finite-difference discretization using the advection-diffusion equation, which is a simple model for the Navier–Stokes equations.
L'advection est le transport d'une quantité (scalaire ou vectorielle) d'un élément donné (tel que la chaleur, l'énergie interne, un élément chimique, des charges électriques) par le mouvement (et donc la vitesse) du milieu environnant.
