| Paper | Title | Page |
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| MOPAB21 | A Novel Code with High-order Adaptive Dynamics to Solve the N-body Problem | 70 |
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| Although there are several publicly available algorithms to model the behavior of natural systems such as the N-body system, limited computing power hinders the attempt to simulate them efficiently. With the improvement of high performance computing, scientists will be able to run simulations at an unprecedented scale in the future. Therefore, it is necessary to develop new algorithms and data structures to harness the power of high performance computing. In this paper we show a newly developed code, particles’ high order adaptive dynamics (PHAD), to serve future computing demands. We use Fast Multipole Method (FMM) to calculate the interactions among charged particles. We use the Strang splitting technique to reduce the number of FMM calls and enhance the efficiency. Picard iterations-based novel integrators are employed to achieve very high accuracies. Electron cooling in the proposed Electron Ion Collider (EIC) has been identified as a potential testing environment for PHAD. | ||
| MOPAB31 | Space Charge Map Extraction and Analysis in a Differential Algebraic Framework | 103 |
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Funding: This work was supported in part by the U.S. Department of Energy, Office of High Energy Physics, under Contract Nos. DE-FG02-08ER41532 and DE-SC0011831, with Northern Illinois University. Space charge is a leading concern in high-intensity beams, causing effects such as emittance growth, beam halos, etc. As the need for high-intensity beams spreads, the demand for efficient space charge analysis grows. We developed a self consistent space charge simulation method for this purpose [*]. In order to facilitate space charge analysis, we implemented a method that allows space charge map extraction and analysis from any tracking method [*,**]. We demonstrate the method by calculating the transverse space charge. We compare the method of moments and the fast multipole method as the tracking methods employed in the transfer map extraction process. We show results from analysis of the raw map elements as well as quantities obtained from normal forms. [*] Erdelyi, Nissen, and Manikonda. A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams. [**] Berz. Modern Map Methods in Particle Beam Physics. |
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| MOPAB31 | Space Charge Map Extraction and Analysis in a Differential Algebraic Framework | 103 |
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Funding: This work was supported in part by the U.S. Department of Energy, Office of High Energy Physics, under Contract Nos. DE-FG02-08ER41532 and DE-SC0011831, with Northern Illinois University. Space charge is a leading concern in high-intensity beams, causing effects such as emittance growth, beam halos, etc. As the need for high-intensity beams spreads, the demand for efficient space charge analysis grows. We developed a self consistent space charge simulation method for this purpose [*]. In order to facilitate space charge analysis, we implemented a method that allows space charge map extraction and analysis from any tracking method [*,**]. We demonstrate the method by calculating the transverse space charge. We compare the method of moments and the fast multipole method as the tracking methods employed in the transfer map extraction process. We show results from analysis of the raw map elements as well as quantities obtained from normal forms. [*] Erdelyi, Nissen, and Manikonda. A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams. [**] Berz. Modern Map Methods in Particle Beam Physics. |
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