对流方程保单调CIP格式

Monotonicity Preserving CIP Schemes for Convective Equations

CIP方法是国外发展起来的一种求解对流方程的数值方法.这种方法是一种紧致格式,它简便、直观同时稳定、数值扩散小.本文提出了保单调CIP方法的构造思路,并给出了几种包括一致高阶精度在内的保单调CIP格式.这些保单调CIP格式是原有CIP格式的修正,保持了其特点.模型方程数值试验的结果令人满意.

CIP schemes, being stable and less diffusive, are compact algorithms with simple procedures developed abroad for convective equations. This paper presents a method to construct CIP schemes that preservemonotonicity and proposes several monotonicity preserving CIP schemes These newly proposed CIP schemes can be of uniformly high order accuracy and, except some modifications. they have same procedures as the original CIP schemes. Numerical calculations of model equations demonstrate the good performance of the proposed schemes.