A hybrid scheme for the numerical simulation of shock/discontinuity problems

作者：Mahmoudnejad Niloufar^*; Hoffmann Klaus A

来源：International Journal of Computational Fluid Dynamics, 2011, 25(9): 469-486.

DOI：10.1080/10618562.2011.632371

• weighted compact scheme
• WENO
• ACM filter
• shock capturing
• non-oscillatory scheme
• double Mach reflection
• shock-vortex interaction
• shock-shear layer interaction
• shock-entropy interaction
• shock tube

To address accuracy issues for direct numerical simulation, a hybrid scheme based on the weighted compact scheme (WCS) and weighted essentially non-oscillatory (WENO) scheme is developed. The new hybrid method incorporates the advantages of both schemes. Time integration is performed using the fourth-order total variation diminishing Runge-Kutta method with a characteristic filter. The accuracy of the scheme is assessed using several benchmark problems. Results show that the proposed scheme produces a more accurate solution for problems involving shocks and discontinuities in comparison with the traditional shock-capturing methods.

• 出版日期2011