具有各种间断的多介质流动的数值计算

利用一般的差分方法来处理多介质的流动问题会遇到许多困难,因为在各种介质中状态方程是不一样的.本文利用分离奇性法成功地解决了这一问题.这种方法的要点是把各种介质的界面及所有的间断线均看作内边界.在各子区域上建立一种混合差分格式,并利用边界条件和差分格式对边界点作精确处理.这样不但避免了不同介质引起的困难而且计算精度很高.

NUMERICAL SOLUTION OF MULTIMEDIUM FLOW WITH VARIOUS DISCONTINUITIES

Because the equations of state are different, many difficulties will occur when we treat multimedium flow with general difference methods. Such problem has been successfully solved with the singularity-separating method. The main idea of the method is that we take all discontinuity lines, including the boundary lines between two mediums, as internal boundaries. A mixed scheme is used in each subregion. The values on the boundaries can be precisely determined. Not only can the difficulties caused by multimedium be overcome, but also the precision of the solution is high.