3D space charge code with the FFT method

ZHAO Ya-Liang; FU Shi-Nian; LI Zhi-Hui; XU Cheng-Hai; YANG Xiao-Yu

doi:10.1088/1674-1137/37/3/037004

Chinese Physics C> 2013, Vol. 37> Issue(3) : 037004 DOI: 10.1088/1674-1137/37/3/037004

3D space charge code with the FFT method

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Abstract：
Precise and fast 3D space-charge calculations have become important for high intensity hadron accelerator design. The PIC method is most frequently used due to its efficiency. This paper introduces a 3D-PIC code that computes the potential of the bunch in the rest frame by means of Poisson's equation. FFT is applied as Poisson solvers. The details and the results are presented as well as error analysis.

References

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Poplau G, van der Geer S B, de Loos M J. A Fast 3D Multigrid Based Space-Charge Routine in the GPT Code. Proceedings of EPAC 2002. Paris, France[2] Poplau G, can Rienen U, Flottmann K. NEW 3d Space Charge Routine in the Tracking Code Astra. Proceedings of ICAP 2006. Chamonix, France[3] Markovik A, Poplau G, van Rienen U. The Space Charge Field Solver Moeve and the 2D Bassetti-Erskine Formula in the Contex of Beam-E-Cloud Interaction Simulation. Proceedings of EPAC08. Genoa, Italy[4] Luccio A U, D'lmperio N L, Beebe-Wang J. Space Charge Dynamic Simulation in 3-D in the Code Orbit. Proceedings of EPAC 2002. Paris, France[5] Orzhekhovskaya A, Barth W, Yaramyshev S. An Effective Space Charge Solver For Dynamion Code. Proceedings of HB2010. Morschach, Switzerland[6] Tanke E, Valero S, Lapostolle P, Lombardi A M. Herso: A New 3 Dimensional Space Charge Routine for High Intensity Bunched Beams. Proceedings of LINAC 2002. Gyeongju, Korea[7] Birdsall C K, Langdon A B. Plasma Physics via Computer Simulation. Adam Hilger Bristol, Philadelphia and New York: 7-23, 168-171[8] Batygin Y K. Accuracy and Effiency of 2D and 3D Fast Possion's Solver for Space Charge Field Calculation of Intense Beam. Proceedings of EPAC. 1998

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ZHAO Ya-Liang, FU Shi-Nian, LI Zhi-Hui, XU Cheng-Hai and YANG Xiao-Yu. 3D space charge code with the FFT method[J]. Chinese Physics C, 2013, 37(3): 037004. doi: 10.1088/1674-1137/37/3/037004

ZHAO Ya-Liang, FU Shi-Nian, LI Zhi-Hui, XU Cheng-Hai and YANG Xiao-Yu. 3D space charge code with the FFT method[J]. Chinese Physics C, 2013, 37(3): 037004. doi: 10.1088/1674-1137/37/3/037004 shu

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Received: 2012-05-04
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

3D space charge code with the FFT method

Corresponding author: ZHAO Ya-Liang,

Received Date: 2012-05-04
Accepted Date: 1900-01-01
Available Online: 2013-03-05

Abstract: Precise and fast 3D space-charge calculations have become important for high intensity hadron accelerator design. The PIC method is most frequently used due to its efficiency. This paper introduces a 3D-PIC code that computes the potential of the bunch in the rest frame by means of Poisson's equation. FFT is applied as Poisson solvers. The details and the results are presented as well as error analysis.