摘要
本文在三点格式的框架下,构造了强紧致六阶格式。与目前计算流体力学和气动热力学中常用的数值计算格式相比,该格式所涉及的网格点数少,而且内点与边界点能达到相同精度。几个典型算例表明:该格式能达到预期的高精度,并且计算简单,方便,可行。
A new sixth order accurate strongly compact scheme with three-point stencil dimensions is presented. This scheme has several advantages over these now in use. First, the stencil dimension for the scheme is less than the traditional compact schemes and involves only three grid points. Secondly, the scheme ensures the same accuracy at the boundary points and the interior grid points. Numerical experiments suggest that the scheme not only has a fairly rapid convergence rate, but also can keep high order accuracy.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2003年第5期761-763,共3页
Journal of Engineering Thermophysics
基金
国家自然科学基金(No.59976015)
关键词
高精度差分格式
三点格式
强紧致格式
high order accurate difference scheme
three-point stencil
strongly compact scheme
