By ZhiJunt S., GuangWei Y., JingYan Y.
A brand new Lagrangian cell-centered scheme for two-dimensional compressible flows in planar geometry is proposed by means of Maire et al. the most new characteristic of the set of rules is that the vertex velocities and the numerical puxes in the course of the phone interfaces are all evaluated in a coherent demeanour opposite to plain techniques. during this paper the tactic brought by way of Maire et al. is prolonged for the equations of Lagrangian fuel dynamics in cylindrical symmetry. diverse schemes are proposed, whose distinction is that one makes use of quantity weighting and the opposite quarter weighting within the discretization of the momentum equation. within the either schemes the conservation of overall power is ensured, and the nodal solver is followed which has a similar formula as that during Cartesian coordinates. the quantity weighting scheme preserves the momentum conservation and the area-weighting scheme preserves round symmetry. The numerical examples reveal our theoretical issues and the robustness of the recent procedure.
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Extra resources for A cell-centered lagrangian scheme in two-dimensional cylindrical geometry
Diam. of foot. 16 m. Used as a lid in the mouth of VIII 1. High, heavy ring foot, very slightly flaring. Black glaze. , II, 1916, p. 27, fig. 11, from Phaleron Grave 47, a grave of the end of the eighth century. 36 RODNEY S. YOUNG VIII 3. Amphora Foot. Fig. 21 P 4609 c. Diam. 13 m. Used as a stopper in the neck of VIII 1. High, slightly flaring ring foot, somewhat smaller than VIII2, and decorated with a band of black glaze. Probably from a banded amphora like IV 1. VIII 4. Coarse Pitcher. Fig.
Grave VII, Small Vases (VII 2-9) VII 4. Cup. Fig. 20 P 4605. 047 m. Diam. 071 m. Flat bottom. Convex side wall and slightly flaring lip. Bars on the handle; glazed inside save for a reserved band around the inner edge of the rim, and a dot at the centre of the floor. Dull black glaze. , 1934, p. 241, fig. 27, left). The flattening of the shoulder so that the greatest diameter is at the lip instead of the shoulder is a late feature to be observed also in skyphoi. VII 5. Cup. Fig. 20 P 4607. 05 m.
The largest is from the broadest part of the vase, decorated with a wide figured zone. At the left end of the zone columns of diagonals to each side of a zigzag column set off the handle panel, in the preserved corner of which there is a triangle. Since this zone with its handle-panel comes at the middle of the body and not at the shoulder, the missing handle must have been a horizontal and not a vertical one, and therefore our fragments belong to a hydria rather than to an amphora. The decoration of the handle-zone consisted of a procession of at least six mourning women; they wear long dresses and raise their hands to their heads in lamentation.