Mechanics in Engineering ›› 2014, Vol. 36 ›› Issue (1): 76-80,121.DOI: 10.6052/1000-0879-13-260

• Applied Research • Previous Articles     Next Articles


WU Wei, XU Houqian, WANG Liang, XUE Rui   

  1. School of Power Engineering Nanjing University of Science & Technology, Nanjing 210094, China
  • Received:2013-06-14 Revised:2013-10-11 Online:2014-02-08 Published:2013-12-25


The artificially upstream flux vector splitting (AUFS) scheme is extended into a gridless method successfully. This gridless method is based on the polynomial basis least-squares method, the curve fitting of linear basis function and AUFS scheme are employed to calculate the spatial derivatives, and a four-stage Runge-Kutta algorithm is applied to advance the Euler equations in time. In order to demonstrate the effciency and the accuracy of this method, a Riemann problem, a supersonic flow in channel, and a transonic flow of NACA0012 airfoil at di?erent attack angles are simulated, and the results are in good agreement with the results calculated by the HLLC (Harten-Lax-van Leer-contact) scheme and other references. Besides, the time spent in the AUFS scheme is about 15% less than in the HLLC scheme.

Key words:

gridless method|Euler equations|AUFS (artificially upstream flux vector splitting) scheme

CLC Number: