A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations

2021 ◽  
Vol 165 ◽  
pp. 167-183
Author(s):  
Chang Ho Kim ◽  
Youngsoo Ha ◽  
Hyoseon Yang ◽  
Jungho Yoon
Keyword(s):  
Weno Scheme ◽  
Third Order ◽  
Exponential Polynomials ◽  
Jacobi Equations

Novel local smoothness indicators for improving the third-order WENO scheme

2017 ◽  
Vol 87 (2) ◽  
pp. 51-69 ◽  
Author(s):  
Shengping Liu ◽  
Yiqing Shen ◽  
Bei Chen ◽  
Fangjun Zeng
Keyword(s):  
Weno Scheme ◽  
Third Order ◽  
The Third ◽  
Local Smoothness ◽  
Smoothness Indicators

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.

Construction of an Improved Third-Order WENO Scheme with a New Smoothness Indicator

2020 ◽  
Vol 82 (3) ◽  
Author(s):  
Youngsoo Ha ◽  
Chang Ho Kim ◽  
Hyoseon Yang ◽  
Jungho Yoon
Keyword(s):  
Weno Scheme ◽  
Third Order ◽  
Smoothness Indicator
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