Modeling laser-plasma interaction with the direct implicit PIC method 7 th Direct Drive and Fast Ignition Workshop, Prague, 3-6 May 2009 M. Drouin a , L. Gremillet a , J.-C. Adam b and A. Héron b DAM, DIF, Bruyères-le-Châtel, F-91297 Arpajon, France UMR 7644, Ecole Polytechnique, 91128 Palaiseau, France
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Modeling laser-plasma interaction with the direct implicit PIC method 7 th Direct Drive and Fast Ignition Workshop, Prague, 3-6 May 2009 M. Drouin a, L.
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Modeling laser-plasma interaction with the direct implicit PIC method
7th Direct Drive and Fast Ignition Workshop, Prague, 3-6 May 2009
M. Drouina, L. Gremilleta, J.-C. Adamb and A. Héronb
a CEA, DAM, DIF, Bruyères-le-Châtel, F-91297 Arpajon, Franceb CPhT, UMR 7644, Ecole Polytechnique, 91128 Palaiseau, France
Introduction
Large space- and time-scale particle-in-cell simulations of a high intensity laser (I> 1018 Wcm-2) interacting with a solid-density target are crucial for many applications (fast ignition, isochoric heating, ion acceleration, ps X- light sources …). Yet the standard PIC method is based on an explicit schemewhich suffers from strong stability constraints.
We therefore propose to solve the Vlasov-Maxwell system by an implicit method1,2 adapted to the relativistic regime and the propagation of light waves. Such a scheme could provide an increased numerical stability for large spatial and temporal step sizes, when also providing satisfactory energy conservation.
1D. W. Hewett and A. B. Langdon, J. Comput. Phys. 72, 121-155 (1987)
2D. Welch, D. Rose, B. Oliver, and R. Clark, Nucl. Instrum. Methods Phys. Res. A 464, 134-139 (2001)
Summary
Basic principles of the direct implicit method
Results and benchmarks
• Comparison between implicit and explicit discretizations• Design of a predictor-corrector scheme• Adjustable damping and electromagnetic propagation into vacuum• Electrostatic dispersion relation of a warm plasma including x and t
• Plasma expansion into vacuum• Laser-plasma interaction in the overcritical regime
A comparison between implicit and explicit discretizations
Explicit1 method Direct implicit2 method
2D. W. Hewett and A. B. Langdon, J. Comput. Phys. 72, 121 (1987)
1C. K. Birdsall and A. B. Langdon, Plasma physics via computer simulation (1985)