A Conservative Eulerian Numerical Scheme for Elastoplasticity and Application to Plate Impact Problems

1993 ◽  
Vol 5 (4) ◽  
pp. 285-308 ◽  
Author(s):  
Feng Wang ◽  
James G. Glimm ◽  
John W. Grove ◽  
Bradley J. Plohr ◽  
David H. Sharp
Keyword(s):  
Numerical Scheme ◽  
Plate Impact ◽  
Impact Problems

A Numerical Scheme for Impact Problems II: The Multidimensional Case

2002 ◽  
Vol 40 (2) ◽  
pp. 734-768 ◽  
Author(s):  
Laetitia Paoli ◽  
Michelle Schatzman
Keyword(s):  
Numerical Scheme ◽  
Multidimensional Case ◽  
Impact Problems

scholarly journals A Numerical Scheme for Impact Problems I: The One-Dimensional Case

2002 ◽  
Vol 40 (2) ◽  
pp. 702-733 ◽  
Author(s):  
Laetitia Paoli ◽  
Michelle Schatzman
Keyword(s):  
Numerical Scheme ◽  
Dimensional Case ◽  
One Dimensional ◽  
Impact Problems ◽  
The One

NUMERICAL SCHEME OF THE WAHA CODE

2008 ◽  
Vol 20 (3-4) ◽  
pp. 323-354 ◽  
Author(s):  
Iztok Tiselj ◽  
A. Horvat ◽  
J. Gale
Keyword(s):  
Numerical Scheme

PARALLEL SOLVER FOR THE SIMULATIONS OF DETONATION WAVES ON UNSTRUCTURED GRIDS

2020 ◽  
Author(s):  
A. I. Lopato ◽  
◽  
A. G. Eremenko ◽  
Keyword(s):  
Chemical Kinetics ◽  
Numerical Scheme ◽  
Unstructured Grids ◽  
Numerical Study ◽  
Numerical Approach ◽  
Detonation Waves ◽  
Detailed Chemical Kinetics ◽  
Parallel Solver ◽  
Further Development ◽  
Detailed Chemical

Recently, we developed a numerical approach for the simulation of detonation waves on fully unstructured grids and applied it to the numerical study of the mechanisms of detonation initiation in multifocusing systems. Current work is devoted to further development of our numerical approach, namely, parallelization of the numerical scheme and introduction of more comprehensive detailed chemical kinetics scheme.

Mathematical views of the fractional Chua's electrical circuit described by the Caputo-Liouville derivative

2021 ◽  
Vol 67 (1 Jan-Feb) ◽  
pp. 91
Author(s):  
N. Sene
Keyword(s):  
Caputo Derivative ◽  
Local Stability ◽  
Numerical Scheme ◽  
Equilibrium Points ◽  
Electrical Circuit ◽  
Maximal Lyapunov Exponent ◽  
Electrical Circuits ◽  
Adaptive Controls ◽  
Liouville Derivative

This paper revisits Chua's electrical circuit in the context of the Caputo derivative. We introduce the Caputo derivative into the modeling of the electrical circuit. The solutions of the new model are proposed using numerical discretizations. The discretizations use the numerical scheme of the Riemann-Liouville integral. We have determined the equilibrium points and study their local stability. The existence of the chaotic behaviors with the used fractional-order has been characterized by the determination of the maximal Lyapunov exponent value. The variations of the parameters of the model into the Chua's electrical circuit have been quantified using the bifurcation concept. We also propose adaptive controls under which the master and the slave fractional Chua's electrical circuits go in the same way. The graphical representations have supported all the main results of the paper.

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