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Realizable second-order finite-volume schemes for the advection of moment sets of the particle size distribution

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Academic year: 2021

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Figure 2: Left: ζ k for k=1,2,3,4 as functions of the spatial location x. Right: initial distribution f 0 (ξ, x) as function of ξ for x = 0.5, x = 0.6 and x = 0.7 (for the Dirac delta functions, the absolute value of the heights of the scaled weights is ar
Figure 3: Constant fluid velocity test case with the regular initial NDF: L 1 norm of the error on the moments of order 0 to 9 (solid red lines, bottom to top) with the ζ kinetic scheme (left) and the QW kinetic scheme (right) for a CFL equal to 0.8
Figure 5: Constant fluid velocity test case with the regular initial NDF: L 1 norm of the error on the moments of order 0 (left) and 1 (right) with the kinetic (solid lines) of the simplified (dashed lines) schemes for a CFL equal to 0.3, using the constan
Figure 6: Constant fluid velocity test case with the oscillating initial ζ k : space evolution of the moments of order 0 to 4 (left, top to bottom lines) and of order 5 to 8 (right, top to bottom lines for x < 0.7) at time t = 5 for the exact solution (
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