A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes

Chacón L.; Chen G.; Barnes D.C.

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A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes

机译：映射计算网格上的电荷和能量节约隐式静电单元内粒子算法

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We describe the extension of the recent charge- and energy-conserving one-dimensional electrostatic particle-in-cell algorithm in Ref. [G. Chen, L. Chacón, D.C. Barnes, An energyand charge-conserving, implicit electrostatic particle-in-cell algorithm, Journal ofComputational Physics 230 (2011) 7018-7036] to mapped (body-fitted) computational meshes. The approach maintains exact charge and energy conservation properties. Key to the algorithm is a hybrid push, where particle positions are updated in logical space, while velocities are updated in physical space. The effectiveness of the approach is demonstrated with a challenging numerical test case, the ion acoustic shock wave. The generalization of the approach to multiple dimensions is outlined.

机译：我们在参考文献中描述了最新的电荷和能量守恒的一维单元内静电粒子算法的扩展。 [G。 Chen，L.Chacón，D.C. Barnes，一种能量和电荷守恒的隐式静电粒子内算法，Journal of Computational Physics 230（2011）7018-7036]映射到（适合身体的）计算网格。该方法保持精确的充电和节能特性。该算法的关键是混合推动，其中粒子位置在逻辑空间中更新，而速度在物理空间中更新。该方法的有效性通过具有挑战性的数值测试案例，即离子声波来证明。概述了对多维方法的概括。

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《Journal of Computational Physics》 |2013年第1期|共9页
作者
Chacón L.; Chen G.; Barnes D.C.;
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正文语种 eng
中图分类数学物理方法;
关键词
Charge conservation; Curvilinear mesh; Energy conservation; Implicit methods; Mapped mesh; Particle-in-cell;

机译：电荷守恒;曲线网格;能量守恒;简化方法;映射网格;细胞内颗粒;

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1. A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes [J] . Chacón L., Chen G., Barnes D.C. Journal of Computational Physics . 2013,第1期

机译：映射计算网格上的电荷和能量节约隐式静电单元内粒子算法
2. Energy-conserving perfect-conductor boundary conditions for an implicit, curvilinear Darwin particle-in-cell algorithm [J] . Chacon L., Chen G. Journal of Computational Physics . 2019,第期

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3. Implicit electrostatic particle-in-cell/Monte Carlo simulation for the magnetized plasma: Algorithms and application in gas-inductive breakdown [J] . Wang Hong-Yu, Sun Peng, Jiang Wei, 中国物理：英文版 . 2015,第006期

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4. Particle-In-Cell Algorithm on Unstructured Tetrahedral Meshes* [C] . Sergey N. Averkin, Nikolaos A. Gatsonis IEEE International Conference on Plasma Science . 2017

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5. Computations on reconfigurable meshes: Strategies and algorithms [D] . Sheng, Ming-Jye 1994

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6. The Effect of Macromolecular Crowding on the Electrostatic Component of Barnase–Barstar Binding: A Computational Implicit Solvent-Based Study [O] . Helena W. Qi, Priyanka Nakka, Connie Chen, -1

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7. An energy- and charge-conserving, implicit, electrostatic particle-in-cell algorithm [O] . G. Chen, L. Chacón, D. C. Barnes 2016

机译：一种能量和电荷守恒的隐式静电粒子算法
8. Time-Implicit Monte-Carlo Collision Algorithm for Particle-in-Cell Electron Transport Models [R] . Cranfill, C. W., Brackbill, J. U., Goldman, S. R. 1985

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A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes

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