Front Tracking Algorithm Using Adaptively Refined Meshes

2006 ◽  
pp. 83-89
Author(s):  
Zhiliang Xu ◽  
James Glimm ◽  
Xiaolin Li
Keyword(s):  
Front Tracking ◽  
Tracking Algorithm ◽  
Refined Meshes

scholarly journals FIXED-GRID FRONT-TRACKING ALGORITHM FOR SOLIDIFICATION PROBLEMS, PART I: METHOD AND VALIDATION

2003 ◽  
Vol 43 (2) ◽  
pp. 117-141 ◽  
Author(s):  
Chin-Yuan Li ◽  
Suresh V. Garimella ◽  
James E. Simpson
Keyword(s):  
Front Tracking ◽  
Tracking Algorithm ◽  
Fixed Grid

A new front-tracking algorithm for marine robots

2018 ◽  
Author(s):  
Igor Belkin ◽  
Joao Borges de Sousa ◽  
Jose Pinto ◽  
Renato Mendes ◽  
Francisco Lopez-Castejon
Keyword(s):  
Front Tracking ◽  
Tracking Algorithm

BASIC ESTIMATES FOR A FRONT TRACKING ALGORITHM FOR GENERAL 2×2 CONSERVATION LAWS

2002 ◽  
Vol 12 (02) ◽  
pp. 155-182 ◽  
Author(s):  
F. ANCONA ◽  
A. MARSON
Keyword(s):  
Conservation Laws ◽  
Approximate Solutions ◽  
Front Tracking ◽  
Tracking Algorithm ◽  
Nonlinear Characteristic ◽  
Riemann Solvers ◽  
Systems Of Conservation Laws ◽  
Approximate Riemann Solvers

We analyze a front tracking algorithm for 2×2 systems of conservation laws with non-genuinely nonlinear characteristic fields. The convergence of the corresponding approximate Riemann solvers is established and the basic interaction estimates for the front tracking approximate solutions are provided.

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.

A front tracking algorithm for limited mass diffusion

2007 ◽  
Vol 222 (2) ◽  
pp. 644-653 ◽  
Author(s):  
Xinfeng Liu ◽  
Yuanhua Li ◽  
J. Glimm ◽  
X.L. Li
Keyword(s):  
Front Tracking ◽  
Mass Diffusion ◽  
Tracking Algorithm ◽  
Limited Mass
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