High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows

Modified Weighted Compact Scheme for Shock Capturing

It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. ...

Numerical dissipation control in high order shock-capturing schemes for LES of low speed flows

Article history: Received 16 December 2014 Received in revised form 8 October 2015 Accepted 16 November 2015 Available online 1 December 2015

High Order Modified Weighted Compact Scheme for High Speed Flow

The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a modified weighted compact scheme (MWCS) has been developed. Similar to WENO, three high order candidates, left, right, and central, are constructed by Hermite polynomials. According to the smoothness, three weights are ...

High-order mixed weighted compact and non-compact scheme for shock/discontinuity and small length scale interaction

It is critical for numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. In...

High-Order Shock Capturing for Computational Aeroacoustics