二维不可压无粘流动问题的流线——混合元数值模拟

THE STREAMLINE MIXED FINITE ELEMENT SIMULATION FOR TWO DIMENSIONAL IMCOMPRESSIBLE FLUID WITH ZERO VISCOSITY

基于流函数—涡度表达式，对不可压无粘流动问题采用沿流线的差分格式逼近涡度函数，采用混合元方法同时逼近流函数及速度场。理论分析与数值实验表明：格式对上述三个物理量具有同时逼近、高精度、高稳定性的良好性质。这是传统的数值方法难已达到的。

Based on the stream function vorticity expression a discrete procedure is employed to approximate the imcompressible fluid with zero viscosity,in which the vorticity is approximated by finite difference along its streamline,the velocity field and the stream function are approximated simultaneously by a mixed finite element.The analysis shows that the procedure possesses both high accuracy and good stability which are not shared by standard methods.