摘要
A class of high resolution positivity preserving Boltzmann type difference schemes for one and two dimensional Euler equations is studied. First, the relation between Boltzmann and Euler equations is analyzed. By using a kind of special interpolation, the high resolution Boltzmann type difference scheme is constructed. Finally, numerical tests show that the schemes are effective and useful.
针对二维欧拉方程研究了一类高分辨正性保持波尔兹曼型差分格式 ,首先分析了波尔兹曼方程和欧拉方程之间的关系 ;然后 ,利用一种特殊的插值技术构造了一类高分辨波尔兹曼型差分格式。最后通过数值实验验证了格式的实用性和有效性。
基金
国家自然科学基金!( 5 99790 0 4)&&
