Session VP1: Poster Session VIII: Spher. Torus and Exploratory Conf. Concepts; RF Heating and Diag; Magnetic Reconnection; Plasma Sim: Kinetic Codes; Plasma Tech.
2:00 PM–2:00 PM, Thursday, November 2, 2006
Philadelphia Marriott Downtown Room: Franklin Hall AB, 2:00pm-5:00pm
Abstract ID: BAPS.2006.DPP.VP1.144
Abstract: VP1.00144 : Equation Free Projective Integration for Plasma Systems
``"Equation free projective integration'' has the potential to allow global simulations of phenomena including relevant kinetic physics. In our algorithm, the global plasma variables stepped forward in time are not integrated directly from differential equations -- hence the name ``equation free.'' Instead, these variables are represented on a microgrid by a kinetic simulation, which is used to estimate the time derivatives of the variables for a large projection step. We present three examples. (1) An ion acoustic wave with strong Landau damping, with wavelets to represent f(x,v). (2) A large-scale MHD wave using a non-ideal fluid code as the micro-simulator. A key aspect of this problem is demontrating that the global time step is not limited by the nonideal wave speeds (such as the whistler). (3) Magnetic reconnection. We focus here on the use of nonlinear wavelet approximation schemes (thresholding and shrinkage). The resulting wavelet coefficients are projectively integrated. We study the effecs of various level-dependent threshold selection criteria based on statistical inference rules. We also discuss how to choose optimal decomposition bases with wavelet and more general lifting schemes.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.DPP.VP1.144