Due to the hyperbolic properties of convection-dominate dispersion equations, the central difference formula often cause numerical dispersion and oscillation even it has two-order precision in space.

由于对流为主的弥散方程具有双曲性质，中心差分格式虽然关于空间步长具有二阶精度，但会产生数值弥散和非物理力学特性的数值振荡，使数值模拟失真。

youdao