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 function of the set of rules is that the vertex velocities and the numerical puxes throughout the mobilephone interfaces are all evaluated in a coherent demeanour opposite to straightforward methods. during this paper the strategy brought by way of Maire et al. is prolonged for the equations of Lagrangian gasoline dynamics in cylindrical symmetry. diversified schemes are proposed, whose distinction is that one makes use of quantity weighting and the opposite zone weighting within the discretization of the momentum equation. within the either schemes the conservation of overall strength is ensured, and the nodal solver is followed which has an analogous formula as that during Cartesian coordinates. the amount weighting scheme preserves the momentum conservation and the area-weighting scheme preserves round symmetry. The numerical examples show our theoretical concerns and the robustness of the recent procedure.
By M. Gromov (auth.), Joram Lindenstrauss, Vitali D. Milman (eds.)
These are the lawsuits of the Israel Seminar at the Geometric facets of useful research (GAFA) which was once held among October 1985 and June 1986. the most emphasis of the seminar used to be at the learn of the geometry of Banach areas and specifically the examine of convex units in and infinite-dimensional areas. The better a part of the amount is made from unique examine papers; a number of the papers are expository in nature. jointly, they mirror the large scope of the issues studied at the moment within the framework of the geometry of Banach spaces.