A Particle-in-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes
A Particle-in-Cell solver based on a high-order hybridizable discontinuous Galerkin spectral element method on unstructured curved meshes
复制标题
非结构化曲面网格上基于高阶可杂化间断伽辽金谱元法的胞内粒子求解器
DOI：
10.1016/j.cma.2019.02.014
复制
发表时间：
2019
影响因子：
7.2
通讯作者：
S. Fasoulas
中科院分区：
文献类型：
--
作者：
M. Pfeiffer;F. Hindenlang;T. Binder;S. M. Copplestone;C.-D. Munz;S. Fasoulas
提出了一种用于模拟三维非结构曲面网格上静电应用的高阶杂交间断伽辽金谱元方法(HDGSEM)。求解了静电泊松方程，并可选择使用电子物种的玻尔兹曼关系，这导致了非线性源项。可混合的公式减少了场解算器的未知数的总数，从而允许模拟大型问题。描述了HDGSEM解算器在PIC代码中的实现，并使用几个复杂度依次递增的测试用例进行了验证。结果表明，在引入材料跳跃的情况下，曲线网格保持了高阶收敛性质。离子光学的模拟表明了该方法对复杂几何形状和大问题规模的适用性。
A high-order hybridizable discontinuous Galerkin spectral element method (HDGSEM) for Particle-In-Cell (PIC) schemes is presented for the simulation of electrostatic applications on three-dimensional unstructured curved meshes. The electrostatic Poisson equation is solved and optionally a Boltzmann relation for the electron species can be used which leads to non-linear source terms. The hybridizable formulation reduces the total number of unknowns of the field solver, allowing the simulation of large problems. The implementation of the HDGSEM solver in a PIC code is described and validated using several test cases with successively increasing complexity. It is shown that the high-order convergence properties are retained on curvilinear meshes, likewise when material jumps are introduced. The simulation of an ion optic illustrates the applicability of the presented method for complex geometries and large problem sizes.
离子推进器光学器件的高保真粒子内模拟 IEPC-2017-451
DOI：
--
发表时间：
2017
期刊：
影响因子：
--
作者：
T. Binder;M. Pfeiffer;S. Fasoulas
通讯作者：
S. Fasoulas