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非守恒流体力学方程组粘性扰动技术的改进
引用本文:张瑗,郭美珍.非守恒流体力学方程组粘性扰动技术的改进[J].湖南文理学院学报(自然科学版),2012(3):8-11.
作者姓名:张瑗  郭美珍
作者单位:长沙理工大学数学与计算科学学院;湖南科技学院计算机系
基金项目:湖南省教育厅科研项目(08C121);湘潭大学“科学工程计算与数值仿真”湖南省重点实验室开放基金课题
摘    要:结合以FD-WENO格式为基础构造的求解非守恒理想流体力学方程组的数值方法,对求解非守恒流体力学方程组的粘性扰动技术进行了改进,并通过求解Riemann问题对其进行了测试.数值试验表明:采用改进后的粘性校正项进行计算能够获得更好的数值结果.

关 键 词:双曲守恒律组  非守恒方程组  粘性扰动  FD-WENO格式

The improvement of viscous perturbations technical for non-conservative fluid dynamics equations
ZHANG Yuan,GUO Mei-zhen.The improvement of viscous perturbations technical for non-conservative fluid dynamics equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2012(3):8-11.
Authors:ZHANG Yuan  GUO Mei-zhen
Institution:1.School of Mathematics and Computational Science,Changsha University of Science & Tecnology,Changsha 410004,China;2.Department of Computer Science,Hunan University of Science and Engineering,Yongzhou 425100,China)
Abstract:The improvement of viscous perturbations technical for non-conservative fluid dynamics equations has been put forward and were tested on Riemann problems conjunction with the numerical methods based on FD-WENO schemes for solving non-conservative ideal fluid dynamics equations.The numerical evidence shows that the use of the improved viscous correction terms can get better numerical results.
Keywords:hyperbolic conservation laws  non-conservative equations  viscous perturbation  FD-WENO schemes
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