A new fifth order finite difference WENO scheme to improve convergence rate at critical points

Wave Motion ◽  
2021 ◽  
pp. 102859
Author(s):  
Anurag Kumar ◽  
Bhavneet Kaur ◽  
Rakesh Kumar
Keyword(s):  
Finite Difference ◽  
Convergence Rate ◽  
Critical Points ◽  
Weno Scheme ◽  
Fifth Order

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.

An efficient fifth-order finite difference multi-resolution WENO scheme for inviscid and viscous flow problems

2021 ◽  
Vol 230 ◽  
pp. 105138
Author(s):  
Zhenming Wang ◽  
Jun Zhu ◽  
Linlin Tian ◽  
Yuchen Yang ◽  
Ning Zhao
Keyword(s):  
Finite Difference ◽  
Viscous Flow ◽  
Weno Scheme ◽  
Flow Problems ◽  
Fifth Order
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