An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization

作者：Gao, Wei^*; Li, Hong; Liu, Yang; Jian, Yong-Jun

来源：Numerical Algorithms, 2012, 59(1): 29-50.

DOI：10.1007/s11075-011-9474-5

• Convection equation
• Normalized-variable
• TVD
• CBC
• High-order

An oscillation-free high order scheme is presented for convection discretization by using the normalized-variable formulation in the finite volume framework. It adopts the cubic upwind interpolation scheme as the basic scheme so as to obtain high order accuracy in smooth solution domain. In order to avoid unphysical oscillations of numerical solutions, the present scheme is designed on the TVD (total variational diminishing) constraint and CBC (convection boundedness criterion) condition. Numerical results of several linear and nonlinear convection equations with smooth or discontinuous initial distributions demonstrate the present scheme possesses second-order accuracy, good robustness and high resolution.

• 出版日期2012-1
• 单位内蒙古大学