scholarly journals Wave Front Tracking using Template Matching and Segmented Regression

2017 ◽  
Author(s):  
Eirik Siljan ◽  
Marius Lysaker ◽  
Samee Maharjan
Keyword(s):  
Wave Front ◽  
Template Matching ◽  
Front Tracking ◽  
Segmented Regression ◽  
Wave Front Tracking

Numerical Investigation of the Wave-Front Tracking Algorithm for the Full Ultra-Relativistic Euler Equations

2018 ◽  
Vol 19 (2) ◽  
pp. 223-229 ◽  
Author(s):  
Mahmoud A.E. Abdelrahman
Keyword(s):  
Wave Front ◽  
Euler Equations ◽  
Numerical Test ◽  
Front Tracking ◽  
Euler System ◽  
Tracking Algorithm ◽  
Test Case ◽  
Test Cases ◽  
Relativistic Euler Equations ◽  
Wave Front Tracking

AbstractWe introduce a generalized version of the front tracking algorithm for the full ultra-relativistic Euler system. The construction and analysis of this algorithm are somewhat simpler than other algorithms. Moreover, this scheme leads to a more robust and efficient result. The scheme also satisfies positivity. This scheme is compared with other two schemes by two numerical test cases. Furthermore we give another application of this scheme, namely we check the explicit formula of interaction of two generalized shocks, by further numerical test case.

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