论文信息 - Electromagnetic PIC simulations with smooth particles: a numerical study

Electromagnetic PIC simulations with smooth particles: a numerical study

In this article we study a charge-conserving finite-element particle scheme for the Maxwell-Vlasov system that is based on a div-conforming representation of the electric field and we propose a high-order deposition algorithm for smooth particles with piecewise polynomial shape. The numerical performances of the method are assessed with an academic beam test-case, and it is shown that for an appropriate choice of the particle parameters the efficiency of the resulting method overcomes that of similar finite-element schemes using point particles.

Martin Campos Pinto | Marie Mounier | Mathieu Lutz

[1] M. Fortin,et al. Mixed Finite Element Methods and Applications , 2013 .

[2] Mark A. Taylor,et al. An Algorithm for Computing Fekete Points in the Triangle , 2000, SIAM J. Numer. Anal..

[3] Jan S. Hesthaven,et al. From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex , 1998 .

[4] Martin Campos Pinto,et al. Gauss-compatible Galerkin schemes for time-dependent Maxwell equations , 2016, Math. Comput..

[5] Peter Monk,et al. A mixed method for approximating Maxwell's equations , 1991 .

[6] Jan S. Hesthaven,et al. High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids , 2006, J. Comput. Phys..

[7] Mark Stowell. Subject Discretizing Transient Current Densities in the Maxwell Equations , 2008 .

[8] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.

[9] Martin Campos Pinto,et al. Charge-conserving FEM–PIC schemes on general grids☆ , 2014 .