反扩散格式在二维锋生数值模拟中的应用

摘要

把无粘流中能成功捕捉接触间断的反扩散差分格式,用在了准地转二维理想锋生的数值模拟中,并将计算结果与Cullen的计算结果和半地转方程的精确解进行了比较.用反扩散格式模拟的锋面较Cullcn的结果更加显著,而且更接近半地转方程的精确解.%The artificial compression method (ACM) that is generally used to capture the contact discontinuity innonviscous flows is used here in the simulation of quasi-geostrophic ideal frontogenesis in two dimensions.A comparison is made among the result of the ACM, the simulation result of Cullen, and the exact solutionof the semi-geostrophic equations. The simulated front in this paper is more prominent than Cullen's and ismuch closer to the exact solution.