AAM  >> Vol. 4 No. 2 (May 2015)

    A High-Resolution Finite Volume Scheme Based on Newtonian Interpolation

  • 全文下载: PDF(1013KB) HTML   XML   PP.150-161   DOI: 10.12677/AAM.2015.42020  
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高 巍,张 庆,李 宏,刘 洋:内蒙古大学数学科学学院,内蒙古 呼和浩特

对流扩散方程Newton插值多项式CBC准则TVD准则Convection Diffusion Equation Newton Interpolation Polynomial Convection Boundness Criterion (CBC) Total Variation Diminishing (TVD)



Finite volume method plays an important role in fluid flow and heat transfer numerical calculation. How to eliminate unphysical oscillations caused by numerical solution of convection diffusion equation selecting discontinuity wave as the initial condition is a key task for studying finite volume method. New high-resolution schemes were constructed by Newton interpolation polynomial based on convection boundness criterion (CBC). Classic test cases demonstrated that the present numerical scheme possesses high resolution and good stability for high gradient and discontinuous solution.

高巍, 张庆, 李宏, 刘洋. 基于牛顿插值的高分辨率有限体积格式[J]. 应用数学进展, 2015, 4(2): 150-161. http://dx.doi.org/10.12677/AAM.2015.42020


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