报告摘要：

  In this talk we present a simple and efficient numerical method for calculating both unsteady and steady state solution of hyperbolic systems with geometrical source terms having concentrations. Physical problems we have considered include the shallow water equations with discontinuous bottom topography, and the quasi one-dimensional nozzle flows with discontinuous cross-sectional area. The two merits of this method is that it can be applied when an (approximate) Riemann solver for the homogeneous hyperbolic systems is available and has efficient steady state capturing property. Compared with the homogeneous hyperbolic system solver, this method for computing hyperbolic systems with singular source terms only needs slightly additional computation complexity in dealing with source term approximation using Newton's iterations and numerical integrations. This method solves well the sub- or super-critical flows, and with a transonic fix, also handles well the transonic flows over the concentration. The later extensions of this work are briefly reported.

报告时间： 2006年5月25日(周四) 下午4:00--5:00

报告地点：科技综合楼三层311报告厅