High Order Weighted Compact Scheme for Shock/Boundary Layer Interaction

2008 ◽  
Author(s):  
Peng Xie ◽  
Maria Oliveira ◽  
Jianzhong Su ◽  
Chaoqun Liu
Keyword(s):  
Boundary Layer ◽  
High Order ◽  
Compact Scheme ◽  
Layer Interaction ◽  
Shock Boundary Layer Interaction ◽  
Boundary Layer Interaction ◽  
Weighted Compact Scheme

Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

2012 ◽  
Vol 11 (3) ◽  
pp. 1022-1042 ◽  
Author(s):  
Chaoqun Liu ◽  
Ping Lu ◽  
Maria Oliveira ◽  
Peng Xie
Keyword(s):  
Boundary Layer ◽  
High Resolution ◽  
Incident Shock ◽  
High Order ◽  
Compact Scheme ◽  
Weno Scheme ◽  
High Order Accuracy ◽  
Order Accuracy ◽  
Layer Interaction ◽  
Boundary Layer Interaction

AbstractStandard compact scheme and upwinding compact scheme have high order accuracy and high resolution, but cannot capture the shock which is a discontinuity. This work developed a modified upwinding compact scheme which uses an effective shock detector to block compact scheme to cross the shock and a control function to mix the flux with WENO scheme near the shock. The new scheme makes the original compact scheme able to capture the shock sharply and, more importantly, keep high order accuracy and high resolution in the smooth area which is particularly important for shock boundary layer and shock acoustic interactions. Numerical results show the scheme is successful for 2-D Euler and 2-D Navier-Stokes solvers. The examples include 2-D incident shock, 2-D incident shock and boundary layer interaction. The scheme is robust, which does not involve case related parameters.

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