利用零散度化法改进Euler方程的谱逼近

A Spectral Method with Velocity Free-divergence Treatment for the Euler Equations

讨论二维Ｅｕｌｅｒ发展方程的分步谱逼近方法．利用速度零散度化方法改进旋度逼近的稳定性及误差估计，并借此改进了时间空间整体逼近格式的稳定性和精度．

A spectral approximation for the splitted evolutional Euler equation is为 considered. The unconditional stability and optimal spectral error estimations are obtained by using a free-divergence treatment technique on the discrete velocity.