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All Journal Ganendra: Majalah IPTEK Nuklir INDONESIAN JOURNAL OF APPLIED PHYSICS
Shali, Ahsani Hafizhu
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Astronomy Computer Science & IT Energy Materials Science & Nanotechnology Physics Other

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AN ANALYSIS OF CYLINDRICAL BORIS SOLVER FOR TYPICAL PARAMETERS OF TWO-DIMENSIONAL PENNING ION SOURCE SIMULATION Shali, Ahsani Hafizhu; As'ari, Ahmad Hasan
GANENDRA Majalah IPTEK Nuklir Volume 26 Nomor 2, 2023
Publisher : Website

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55981/gnd.2023.6791

Abstract

The cylindrical Boris solver is analyzed for typical two-dimensional Penning ion source simulation parameters. The analysis comprises the solver's accuracy and stability, especially for the latter simulation stages, typically after about 30 μs. The simulation is done for two cases; the first is a gyration simulation with a homogenous magnetic field, and the second uses the same setup as the Penning simulation. Several investigated quantities to determine the error are the radial position, axial position, and velocity magnitude (or kinetic energy). The error is calculated by comparing the result with the reference result from the exact solver with an incredibly small time step width, dt = 10-15  s. The result shows a discrepancy between cylindrical and cartesian Boris solvers. The velocity magnitude of the particle decays as time goes on for the cylindrical Boris solver, especially when the particle is close to the z-axis, an error not found on the cartesian solver. For typical Penning simulation parameters, the trajectory of individual particles is way off the reference trajectory. However, the mean position is relatively close to the reference compared to the dimension of the simulation domain. The kinetic energy is also relatively accurate, with a similar slow decay related to the deteriorating non-axial velocity components previously observed in the first case. Thus, for the simultaneous simulation of millions of particles, there should not be any significant observable difference in actual Penning simulation compared to Penning simulation with reference time step width.
The Combined Boris-Cyclotronic Integrator for Axially Symmetric Penning Ion Source Simulation Shali, Ahsani Hafizhu; Del Piero, Muhamad Rangga
INDONESIAN JOURNAL OF APPLIED PHYSICS Vol 15, No 1 (2025): April
Publisher : Department of Physics, Sebelas Maret University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijap.v15i1.71160

Abstract

An investigation of the use of combined boris-cyclotronic particle integrator scheme for 2D axially symmetric Penning ion source simulation program has been performed. The particle-in-cell based simulation program was intended to be used for Penning ion source optimization. The combination was done by using cyclotronic integrator in cylindrical coordinates while ions were integrated using Boris algorithm (Boris-Cyclotronic scheme). The investigation was centered around the claim that cyclotronic integrator is not limited by gyration period constraints, unlike Boris algorithm. As a benchmark, this scheme is compared against the standard approach in which both species are integrated using the Boris algorithm (All-Boris scheme). The plasma sustainability result shows that for regions where time step width is smaller than the gyration period, Boris-Cyclotronic algorithm is indistinguishable from All-Boris algorithm. For time step width comparable to gyration period, there is an increase in electron production in Boris-Cyclotronic algorithm while All-Boris algorithm remains the same. Single-particle tests show that although the Boris integrator produces noisy trajectories, it maintains a bounded energy error and a consistent average path. In contrast, the cyclotronic integrator produces smoother trajectories but introduces significant oscillatory energy gain, which leads to artificial ionization and exaggerated electron production. These findings indicate that despite its less accurate individual trajectories, the All-Boris scheme provides more physically consistent results for Penning ion source simulation than the Boris–Cyclotronic scheme
Co-Authors As'ari, Ahmad Hasan Del Piero, Muhamad Rangga