Optimal difference schemes for 2-D transport problems
نویسندگان
چکیده
منابع مشابه
Optimal and near-optimal advection-diffusion finite-difference schemes VI. 2-D alternating directions
The 3 × 3 × 2 compact computational module involves three consecutive spatial points in each of the perpendicular spatial directions at two successive time levels. The schemes are tested for three variants of an exactly solvable test case, corresponding to the fractionation of an initial mixture of sinking, neutral, and rising particles released together in a vertically well-mixed turbulent ope...
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An implicit finite difference scheme is derived which achieves exact results for the area, centroid, variance, skewness and kurtosis (flatness) of solutions to the unforced advection-diffusion equation ∂ t c + λ c + u ∂ x c − κ ∂ 2 x c = 0. Sufficient conditions for computational stability are that the grid spacing ∆x and time step ∆t be small enough that |u| ∆x κ < 12 1/2 , |u| ∆t ∆x < 1 2 1/2...
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∂tc+ λ c+ u ∂xc− κ ∂ xc = q + ∂xf + ∂ xg . At the grid points the extremely high order of approximation for the numerical solutions is such that if loss of accuracy is to be avoided then interpolation must use values extending beyond the local 3 by 2 computational module. Illustrative examples show that reasonable accuracy is possible with extremely long time steps on sparse non-uniform, moving...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1993
ISSN: 0377-0427
DOI: 10.1016/0377-0427(93)90051-c