The 6th-order weighted ENO schemes for hyperbolic conservation laws

2018 ◽  
Vol 174 ◽  
pp. 34-45 ◽  
Author(s):  
Fuxing Hu
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Hyperbolic Conservation ◽  
Eno Schemes ◽  
Weighted Eno

A weighted ENO-flux limiter scheme for hyperbolic conservation laws

2010 ◽  
Vol 87 (15) ◽  
pp. 3467-3488 ◽  
Author(s):  
A. A.I. Peer ◽  
M. Z. Dauhoo ◽  
A. Gopaul ◽  
M. Bhuruth
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Hyperbolic Conservation ◽  
Flux Limiter ◽  
Weighted Eno

HIGH ORDER LOCALIZED ENO SCHEMES ON UNSTRUCTURED MESHES FOR CONSERVATION LAWS

2005 ◽  
Vol 19 (28n29) ◽  
pp. 1563-1566
Author(s):  
JUN ZHU ◽  
NING ZHAO ◽  
HUASHENG ZHENG
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Main Idea ◽  
Discrete Method ◽  
Hyperbolic Conservation ◽  
Fully Discrete ◽  
Eno Schemes ◽  
Numerical Tests ◽  
Spectral Volume ◽  
Volume Method

We construct a localized finite volume method by applying ENO (essentially non-oscillatory) reconstruction to solve hyperbolic conservation laws following the partitions of the spectral volume methods. The main idea is as follows: Firstly, separate the calculating domain into intervals, named main-cells, then divide the intervals into subintervals, named sub-cells. Secondly, use ENO methodology to reconstruct conservative variables in the main-cells by using the cell averages of proper sub-cells. After that, use the TVD Runge-Kutta time discrete method to obtain fully discrete scheme. Several classic numerical tests show that this scheme has capabilities to capture discontinuities in high resolution and robustness.

scholarly journals High order explicit local time stepping methods for hyperbolic conservation laws

2020 ◽  
Vol 89 (324) ◽  
pp. 1807-1842
Author(s):  
Thi-Thao-Phuong Hoang ◽  
Lili Ju ◽  
Wei Leng ◽  
Zhu Wang
Keyword(s):  
Conservation Laws ◽  
Local Time ◽  
Hyperbolic Conservation Laws ◽  
High Order ◽  
Hyperbolic Conservation ◽  
Time Stepping ◽  
Local Time Stepping
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