A 3D Immersed Finite Element Method with Non-Homogeneous Interface Flux Jump for Applications in Particle-In-Cell Simulations of Plasma-Lunar Surface Interactions
Motivated by the need to handle complex boundary conditions efficiently and accurately in particle-in-cell (PIC) simulations, this paper presents a three-dimensional (3D) linear immersed finite element (IFE) method with non-homogeneous flux jump conditions for solving electrostatic field involving complex boundary conditions using structured meshes independent of the interface. This method treats an object boundary as part of the simulation domain and solves the electric field at the boundary as an interface problem. In order to resolve charging on a dielectric surface, a new 3D linear IFE basis function is designed for each interface element to capture the electric field jump on the interface. Numerical experiments are provided to demonstrate the optimal convergence rates in L2 and H1 norms of the IFE solution. This new IFE method is integrated into a PIC method for simulations involving charging of a complex dielectric surface in a plasma. A numerical study of plasma-surface interactions at the lunar terminator is presented to demonstrate the applicability of the new method.
D. F. Han et al., "A 3D Immersed Finite Element Method with Non-Homogeneous Interface Flux Jump for Applications in Particle-In-Cell Simulations of Plasma-Lunar Surface Interactions," Journal of Computational Physics, vol. 321, pp. 965-980, Elsevier, Sep 2016.
The definitive version is available at https://doi.org/10.1016/j.jcp.2016.05.057
Mathematics and Statistics
Mechanical and Aerospace Engineering
Center for High Performance Computing Research
Keywords and Phrases
Immersed Finite Elements; Interface Problems; Lunar Surface; Non-Homogeneous Flux Jump Conditions; Particle-In-Cell; Plasma Environments
International Standard Serial Number (ISSN)
Article - Journal
© 2016 Elsevier, All rights reserved.
01 Sep 2016