A Fast Poisson Solver for 3-D Space Charge Calculations in a CPU+GPU Heterogeneous Routine

Zheng Dawei; van Rienen Ursula

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A Fast Poisson Solver for 3-D Space Charge Calculations in a CPU+GPU Heterogeneous Routine

机译：在CPU + GPU异构例程中用于3-D空间电荷计算的快速泊松解算器

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Space charge calculations play a key role in beam dynamics studies for particle accelerators and various other physical and technical fields. The major work is to solve Poisson’s equation for numerous time steps. Therefore, it is important to solve Poisson’s equation in a short time. In this paper, we present a CPU+GPU-based heterogeneous parallel computation routine with the compute unified device architecture platform in a normal PC. The new framework benefits from a novel efficient discrete cosine transform study using the classical Hockney and Eastwood’s convolution routine rather than the former one with discrete Fourier transform. A model problem has been studied, which showed an efficiency improvement with the new heterogeneous routine.

机译：空间电荷计算在粒子加速器以及其他各种物理和技术领域的射束动力学研究中发挥着关键作用。主要工作是解决许多时间步长的泊松方程。因此，重要的是在短时间内解决泊松方程。在本文中，我们提出了一种基于CPU + GPU的异构并行计算例程，该例程具有在普通PC中的统一计算设备架构平台。新框架受益于一项新颖的有效离散余弦变换研究，该研究使用了经典的霍克尼和伊斯特伍德的卷积例程，而不是以前的离散傅里叶变换。研究了一个模型问题，该问题显示了使用新的异构例程的效率提高。

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来源
《Magnetics, IEEE Transactions on》 |2016年第3期|1-4|共4页
作者
Zheng Dawei; van Rienen Ursula;
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作者单位

Faculty of Computer Science and Electrical Engineering, University of Rostock, Rostock, Germany;

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原文格式 PDF
正文语种 eng
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关键词
Beam dynamics; FFT; Poisson’s equation; Poisson???s equation; beam dynamics; fast Fourier transform (FFT); space charge;

机译：束动力学;FFT;泊松方程;泊松方程;束动力学;快速傅立叶变换（FFT）;空间电荷;

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专利

1. A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations [J] . Qiang Ji Computer physics communications . 2017,第期

机译：具有纵向周期性和横向开放边界条件的快速并行3D泊松求解器，用于空间电荷模拟
2. Component Mode Synthesis Methods for 3-D Heterogeneous Core Calculations Applied to the Mixed-Dual Finite Element Solver MINOS [J] . Pierre Guerin, Anne-Marie Baudron, Jean-Jacques Lautard, Nuclear science and engineering . 2007,第2期

机译：混合双有限元求解器MINOS的3-D异构核计算的分量模式综合方法
3. Component mode synthesis methods for 3-D heterogeneous core calculations applied to the mixed-dual finite element solver MINOS [J] . Guerin P, Baudron AM, Lautard JJ, Nuclear science and engineering . 2007,第2期

机译：混合对偶有限元求解器MINOS中用于3-D异构核计算的分量模式综合方法
4. A Fast Poisson Solver for 3D Space Charge Calculations in a CPU+GPU Heterogeneous Routine [C] . Dawei Zheng, Ursula van Rienen International Conference on the Computation of Electromagnetic Fields . 2016

机译：CPU + GPU异构常规的3D空间充电计算的快速泊松求解器
5. Regularization Methods on Solving Poisson’s Equation and Poisson Boltzmann Equation with Singular Charge Sources and Diffuse Interfaces [D] . Wang, Siwen. 2021

机译：用奇异电荷源和漫射界面求解泊松等式和泊松Boltzmann方程的正则化方法
6. Rigorous formulation of space-charge wake function and impedance by solving the three-dimensional Poisson equation [O] . Yoshihiro Shobuda, Yong Ho Chin -1

机译：通过求解三维Poisson方程来严格表示空间电荷唤醒函数和阻抗
7. A Fast 3D Poisson Solver with Longitudinal Periodic and Transverse Open Boundary Conditions for Space-Charge Simulations [O] . Qiang, Ji 2016

机译：具有纵向周期和横向开路的快速三维泊松求解器空间电荷模拟的边界条件

A Fast Poisson Solver for 3-D Space Charge Calculations in a CPU+GPU Heterogeneous Routine

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