A new fifth-order alternative finite difference multi-resolution WENO scheme for solving compressible flow

2021 ◽  
Vol 382 ◽  
pp. 113853
Author(s):  
Zhenming Wang ◽  
Jun Zhu ◽  
Yuchen Yang ◽  
Ning Zhao
Keyword(s):  
Finite Difference ◽  
Compressible Flow ◽  
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

An Improved Hybrid Alternative WENO Scheme for High Mach Number Flows

2021 ◽  
Author(s):  
Uttam Singh Rajput ◽  
Krishna Mohan Singh
Keyword(s):  
High Speed ◽  
Compressible Flows ◽  
Weno Scheme ◽  
Test Cases ◽  
Present Scheme ◽  
Low Dissipation ◽  
Scale Structures ◽  
High Mach ◽  
Fifth Order ◽  
High Resolution Method

Abstract This study presents the development of a fifth-order hybrid alternative mapped weighted essentially non-oscillatory scheme (HAW-M) for high-speed compressible flows. A new, improved smoothness indicator has been developed to design the HAW-M scheme. The performance of the present scheme has been evaluated through different one and two-dimensional test cases. The developed scheme shows higher accuracy and low dissipation. Further, it captures the fine-scale structures smoothly than the existing high-resolution method.

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