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.
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).
