A High-Resolution Finite Volume Scheme Based on Newtonian Interpolation
Abstract: 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.
文章引用: 高 巍 , 张 庆 , 李 宏 , 刘 洋 (2015) 基于牛顿插值的高分辨率有限体积格式。 应用数学进展， 4， 150-161. doi: 10.12677/AAM.2015.42020
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