A HIGH RESOLUTION FINITE VOLUME METHOD FOR SOLVING SHALLOW W(4)
2015-12-08 01:08
导读：is used (13)where represents the characteristic speed component by roe's average state between element and 1; denotes the average wave strength component; is a limiter. the muscl type limiter of van l
is used
(13)where
represents the characteristic speed component by roe's average state between element
and 1;
denotes the average wave strength component;
is a limiter. the muscl type limiter of van leer is used, which has moderate dissipative and compressible performance;
is a dissipative function put forward by harten. the definitions of all these variables are given in ref.[10]. the ratio between time and space is
(14)where
denotes the distance of the barycenters between element
and satellite element 1. eqs. (12) and (13) concern four satellite elements around the element
, but the limiter function concerns another four satellite elements, so this scheme concerns eight satellite elements in all. 5. boundary conditions the boundaries of the computational domain have land boundaries (solid boundaries) and water boundaries (open boundaries) for a general shallow water problem. in the case of solid boundaries, no-slip or slip boundary conditions is considered on the basis of whether considering turbulent viscosity or not. generally speaking, no-slip boundary conditions are given if considering turbulent viscosity, otherwise slip conditions are specified. the open boundary conditions, however, need to have a particular treatment. the local value of froude number or whether the flow is subcritical or supercritical is the basis of determining the number of boundary conditions. for supercritical flow, three conditions at the inflow boundary and none at the outflow boundary must specified. for subcritical flow, two external conditions are specified at inflow boundary and one is required at the outflow boundary. 共2页: 1 [2] 下一页 论文出处(作者):Wang Jia-s
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