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Transport of phase space densities through tetrahedral meshes using discrete flow mapping

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Figure

Figure 1: Discrete flow mapping on a mesh of a vehicle interior showing the boundary flow map ϕij between thefaces of a pair of adjacent tetrahedra
Figure 2: Tetrahedron with vertices A, B, C and D. The shaded sub-regions show the admissible sets of start andend points for rays starting from face ABC and arriving in face CBD
Figure 3: Tetrahedron with vertices Aseven sub-regions. For given direction (the triangletheB, B, C and D = (D1, D2, D3) viewed from above
Figure 4: Seven subregions of the direction coordinate over the unit disc associated to the tetrahedron ABCDpresented in Figures 2 and 3
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