摘要
本文发展了一种中心型加权本质无振荡(WENO)格式该格式通过在原始三阶WENO-JS格式的下风方向增加一个两点候选模板,并将文献[11]中的非线性自适应机制推广到r=2情况,格式记为WENO4-CU.经过近似色散关系分析可以看到,WENO4-CU格式的频谱特性较原始三阶WENO-JS格式具有明显的改进.通过六个典型算例的数值测试表明,WENO4-CU格式在对流动结构的分辨上较原始WENO3-JS、WENO3-M和WENO3-Z格式具有明显提高.
A central weighted essentially non-oscillatory(WENO)scheme is presented in this paper.A two-point candidate sub-stencil is added downwind based on the third-order WENO-JS scheme,and the nonlinear adaption mechanism of reference[11]is extended to the version ofr=2.The scheme is named as WENO4-CU,the spectral properties of which are improved compared with the original third-order WENO-JS through approximate dispersion relation analysis.Numerical tests of six benchmarks demonstrate that the WENO4-CU scheme has better performance in contrast with WENO3-JS,WENO3-M and WENO3-Z schemes on resolving flow structures.
作者
李辰
郭启龙
孙东
刘朋欣
Li Chen;Guo Qilong;Sun Dong;Lin Pengxin(State Key Laboratory of Aerodynamics,China Aerodynamnics Research and Development Center,Mianyang 621000,China;Computational Aerodynamics Institute,China Aerodynamics Research and Development Center,Mianyang 621000,China)
出处
《数值计算与计算机应用》
2020年第3期246-258,共13页
Journal on Numerical Methods and Computer Applications
基金
国家数值风洞工程,中国空气动力研究与发展中心前沿技术研究基金(PJD20180204)
国家自然科学基金(11802324)资助.
关键词
WENO
光滑度量因子
有限差分格式
双曲守恒律
WENO scheme
smoothness indicator
finite difference scheme
hyperbolic conservation laws
