一种改进Van Leer格式的构造与分析

Construction and Analysis of Newly Improved Upwind Scheme Based on Van Leer Scheme

基于传统的Van Leer格式提出了一种改进的Van Leer(NVL)格式,解决了Van Leer格式在低马赫数下数值耗散过大,不能求解有粘流场等问题,同时保持Van Leer格式的计算效率。通过二维平板流动算例比较了NVL格式与传统Van Leer格式的数值耗散程度,并以NACA0012翼型的亚声速和跨声速流场以及M6机翼的跨声速流场求解为算例,与Roe格式和传统Van Leer格式进行比较,进一步验证了NVL格式的低耗散性和高效性。

Traditional Van Leer scheme cant be used to resolve viscous flow problems at low Mach number because of its high numerical dissipation. A new upwind discretization scheme new Van Leer （NVL） is proposed to solve this problem. The umerical discretizations of NVL Scheme and traditional VanLeer Scheme are compared by taking the calculation example of Blasiu＇ s flow. And by taking three numerical experiments including subsonic and transonic flows over NACA0012 airfoil and transonic flows over M6 wing, Roe and traditional Van Leer scheme are compared to illustrate the performance of this new approach. The results indicate that NVL scheme is characterized with low discreization and high efficiency.