Title
A new exceptional points method with application to cell-centered Lagrangian schemes and curved meshes
Abstract
The aim of this paper is the numerical simulation of compressible hydrodynamic strong implosions, which take place for instance in Inertial Confinement Fusion. It focuses in particular on two crucial issues, for such calculations: very low CFL number at the implosion center and approximation error on the initial geometry. Thus, we propose an exceptional points method, which is translation invariant and suitable to curved meshes. This method is designed for cell-centered Lagrangian schemes (GLACE [8,13,14], EUCCLHYD [25-29]). Several numerical examples on significant test cases are presented to show the relevance of our approach.
Year
DOI
Venue
2012
10.1016/j.jcp.2012.02.017
J. Comput. Physics
Keywords
Field
DocType
curved mesh,crucial issue,approximation error,new exceptional points method,inertial confinement fusion,numerical example,compressible hydrodynamic strong implosion,numerical simulation,exceptional points method,cell-centered lagrangian scheme,implosion center
Compressibility,Polygon mesh,Courant–Friedrichs–Lewy condition,Computer simulation,Mathematical analysis,Test case,Invariant (mathematics),Implosion,Approximation error,Mathematics
Journal
Volume
Issue
ISSN
231
11
0021-9991
Citations 
PageRank 
References 
5
0.38
8
Authors
4
Name
Order
Citations
PageRank
A. Claisse171.57
B. DespréS2524.00
E. Labourasse3444.20
Franck Ledoux4608.55