A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers’ Equations  

作　　者：Wei Gao Yang Liu Bin Cao Hong Li 

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Huhhot,P.R.China

出　　处：《Advances in Applied Mathematics and Mechanics》2012年第5期617-635,共19页应用数学与力学进展（英文）

基　　金：This work is supported by the National Natural Science Foundation of China(Grant No.11061021);Key Project of Chinese Ministry of Education(12024);the Scientific Research Projection of Higher Schools of Inner Mongolia(NJ10016,NJ10006,NJZZ12011);the National Natural Science Foundation of Inner Mongolia Province(2011BS0102).

摘　　要：A bounded high order upwind scheme is presented for the modified Burgers’equation by using the normalized-variable formulation in the finite volume framework.The characteristic line of the present scheme in the normalizedvariable diagram is designed on the Hermite polynomial interpolation.In order to suppress unphysical oscillations,the present scheme respects both the TVD(total variational diminishing)constraint and CBC(convection boundedness criterion)condition.Numerical results demonstrate the present scheme possesses good robustness and high resolution for the modified Burgers’equation.

关 键 词：modified Burgers’equation TVD NVD upwind scheme 

分 类 号：O17[理学—数学]