Active Particles, Volume 2 by Unknown

Active Particles, Volume 2 by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030202972
Publisher: Springer International Publishing


(10)

Here, and are the numerical fluxes in the x- and y-directions, respectively, Δ j,k is a discrete Laplacian, and ρ j,k is an approximation of the point value of ρ(x j, y k, t).

In the next sections, we will first provide the reader with a detailed description of both the second- and fourth-order versions of the FVFD scheme (10), including proofs of their positivity preserving property, and then present an AMM finite-volume method. These numerical schemes are obtained by different approximations of the numerical fluxes and discrete Laplacians in (10) and we will denote them by , and for the second- and fourth-order methods, respectively.



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