On Construction of Combined Shock-Capturing Finite-Difference Schemes of High Accuracy

2017 ◽  
pp. 525-532
Author(s):  
Vladimir Ostapenko ◽  
Olyana Kovyrkina
Keyword(s):  
Finite Difference ◽  
High Accuracy ◽  
Difference Schemes ◽  
Shock Capturing ◽  
Finite Difference Schemes

scholarly journals The accuracy of finite-difference schemes calculating the interaction of shock waves

2019 ◽  
Vol 485 (6) ◽  
pp. 691-696 ◽  
Author(s):  
V. V. Ostapenko ◽  
N. A. Khandeeva
Keyword(s):  
Finite Difference ◽  
Shock Waves ◽  
Difference Schemes ◽  
Weno Scheme ◽  
Shock Capturing ◽  
Finite Difference Schemes ◽  
Third Order ◽  
Interaction Of Shock Waves ◽  
Fifth Order

The accuracy with which the shock-capturing finite-difference schemes calculate the flows with interaction of shock waves is studied. It is shown that, in the domains between the shock waves after their incidence, the calculation accuracy of invariants of the combined schemes is several orders of magnitude higher than the accuracy of the WENO-scheme, which is fifth-order in space and third-order in time.

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