论文信息 - Boundary conditions for Maxwell solvers

Boundary conditions for Maxwell solvers

which is solved in implicit plasma simulations. Compared with the standard Helmholtz equation [4, p68], (c∆t/2) replaces −(c/ω), and Eq. 1 is solved each time step (instead of for each value of ω) for E with S given. The source term, S, is neither divergence nor curl-free in general. Specifically, we ask under what conditions charge conservation is satisfied. Namely, do numerical solutions of Eq. 1 satisfy Poisson’s equation,

Jeremiah U. Brackbill | J. Brackbill

[1] J. Pain. Plasma Physics , 1968, Nature.

[2] Paolo Ricci,et al. A simplified implicit maxwell solver , 2002 .

[3] J. Brackbill,et al. A Multilevel Iterative Field Solver for Implicit Plasma Simulation Codes , 1998 .

[4] Jerome Solberg,et al. An arbitrary Lagrangian-Eulerian discretization of MHD on 3D unstructured grids , 2006, J. Comput. Phys..

[5] Bo-nan Jiang,et al. The Origin of Spurious Solutions in Computational Electromagnetics , 1996 .

[6] A. Richmond. Ionospheric Electrodynamics Using Magnetic Apex Coordinates. , 1995 .

[7] Paolo Ricci,et al. Influence of the lower hybrid drift instability on the onset of magnetic reconnection , 2004 .

[8] Pierre Degond,et al. On a finite-element method for solving the three-dimensional Maxwell equations , 1993 .

[9] Claus-Dieter Munz,et al. A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes , 2000 .

[10] Dana A. Knoll,et al. A Multilevel Iterative Field Solver for Implicit, Kinetic, Plasma Simulation , 1999 .

[11] M. Anderson. Introducing groundwater physics , 2007 .

[12] J. Brackbill,et al. Nonlinear evolution of the lower hybrid drift instability: Current sheet thinning and kinking , 2002 .