摘要
将格点形式的新型三阶U-MUSCL格式推广到格心形式的混合笛卡尔网格中,发展了一套基于混合笛卡尔网格的高精度数值算法。根据不同的系数取值,新型三阶U-MUSCL格式甚至能达到四阶精度。该格式不仅对现有求解器的改动较小,而且不需要构造插值模板,同时也不需要在网格单元内构造额外的高阶多项式,不会增加较大的计算量。通过数值涡的保持问题和二维非定常圆柱绕流问题,表明了该格式对于旋涡流动具有很低的耗散性。
A new third-order U-MUSCL scheme by cell-vertex is extended to cell-centered hybrid Cartesian grid,and a high-order scheme in hybrid Cartesian grid is developed.When the different coefficients are chosen,the new third-order U-MUSCL scheme can even achieve fourth-order accuracy.This scheme not only has little modification to the existing solver,but also does not need to construct interpolation templates.At the same time,it does not need to add extra degrees-of-freedom within cells,so it will not increase the amount of computation.The numerical vortex keeping problem and unsteady flow around a two-dimensional cylinder problem show that the scheme has low dissipation for vortex flow.
作者
干雨新
赵宁
刘剑明
GAN Yu xin;ZHAO Ning;LIU Jian ming(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,China)
出处
《航空计算技术》
2019年第4期31-34,共4页
Aeronautical Computing Technique
基金
国家自然科学基金项目资助(11432007)
