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Transcript
From fluid/particle toward Complex Particle Kinetic models. Merging for Complex Particle Kinetic modeling of multiple plasma beams (inter-penetrating flows) Lipatov, A.S. GEST Center UMBC/NASA GSFC, Code 673, Greenbelt, MD 20771, USA Abstract We suggest a merging procedure for the Complex Particle Kinetic (CPK) model in case of interpenetrating flow (multiple plasma beams). Each CPK macro-particle includes a Maxwellian distribution in velocity and Gaussian distribution in space with internal dynamics (see [1], for details). It is assumed that an arbitrary distribution of real particles can be represented by such a superposition in phase space (moving-finite-element with time-dependent shape function) at least as well as could be done with the standard particle in cell (PIC)/Monte Carlo (MC) delta functions and their associated “shape factors”. The CPK method allows us to provide a global simulation of the complex plasma objects on the Hall-MHD (fluid) scale (aggressive merging) with automatic incorporation of the kinetic/particle description of the particle-wave processes (aggressive fragmentation) where it is necessary. The CPK approximation works well for ions, electrons, dust grains and neutral components. This code was tested in the simulations for the study of the interaction of the plasma flow with comets and Io’s atmosphere. In this report we examine the standard (PIC) and the CPK methods in the case of the simulation of the particle acceleration by shock surfing. The plasma dynamics is described by a standard (particleion–fluid-electron) hybrid model (see, e.g. [3]). We also examine the fourth moment [2] and the one-side moment [1] of the velocity distribution approaches for a particle fragmentation. While a particle-mesh method is well enough verified approach, the CPK model seems to be a good approach in case of multiscale simulation which includes multiple subdomains with various particle/fluid plasma behavior. However, the CPK model is still need in verification for a study the basic plasma phenomena: particle heating and acceleration by collisionless shocks, magnetic field reconnection, beam dynamics, global multiscale simulation of the magnetospherical plasma near moons, solar wind-planet interaction, heliospherical plasma, solar flares, CME, laser produced plasma etc. In case of a study the complex multiscale plasma systems, the CPK method allows us to reduce the computational resources by factor of 100-1000 as it needs with standard PIC methods. A.S.L. thanks D.W. Hewett and D.J. Larson (Lawrence Livermore National Laboratory) for their helpful discussion of the CPK technique. References [1] Hewett, D.W., Fragmentation, merging, and internal dynamics for PIC simulation with finite size particles, J. Comput. Phys. 189, 390, 2003. [2] Larson, D.J., A coulomb collision model for PIC plasma simulation, J. Comput. Phys. 188, 123, 2003. [3] Lipatov, A.S., The Hybrid Multiscale Simulation Technology. An Introduction with Application to Astrophysical and Laboratory Plasmas, Springer, Berlin, Heidelberg, New York, 2002, pp. 403. 1