Progress toward source-to-target simulation

Grote, D.P.; Friedman, A.; Craig, G.D.; Sharp, W.M.; Haber, I.

doi:10.1016/s0168-9002(01)00142-5

Cited by 31 publications

(21 citation statements)

References 10 publications

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“…[1,2] HIF offers a path to fusion as an energy source. It relies on having ion beams focused down onto the small fusion target, driving it to ignition.…”

Section: Introductionmentioning

confidence: 99%

The WARP Code: Modeling High Intensity Ion Beams

Grote¹,

Friedman²,

Vay³

et al. 2005

AIP Conference Proceedings

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Abstract. The Warp co de, d evelo pe d for heavy -ion d riven iner tial fusion energy s t u dies, is u se d to m o d el high inte n sity ion (an d electro n) bea m s. Significant ca pa bility h a s bee n incor por a te d in War p, allowing n early all sectio n s of a n accelerator to be m o dele d, beginning with t he sou rce. Warp ha s a s its core a n explicit, t h ree -di me n sio nal, p a r ticle -in -cell m o del. Alongside t his is a rich se t of tools for d escribing t h e a p plied field s of t h e accelerator lattice, a n d e m be d de d con d uc ting s urfaces (which are ca p t u re d at s u b -grid resolu tio n). Also incor pora te d are m o dels with re d uce d di me nsionality: a n axisy m me t ric m o d el a n d a tra n sverse "slice" m o del. The code take s a dva ntage of m o de r n p rogra m ming tech niq ues, inclu ding o bject orie nta tion, p a r allelis m, a n d scripting (via Pytho n). It is a t t he forefro n t in t h e u se of t he co m p u ta tional tec hnique of a da p tive m e s h refine me n t, which ha s bee n p a r ticularly s uccessf ul in t h e area of diode a n d injector m o deling, bot h stea dy -st ate a n d timed e p e n de n t. In t he p r e se n ta tio n, so me of t he m ajor a s pects of War p will be overviewe d, especially t h o se t h a t co uld be u sef ul in m o d eling ECR so urces. Warp ha s bee n be nc h m a r ke d against bot h t heo ry a n d ex peri me n t. Recen t re sults will be p re se n te d s howing good agree me nt of War p with experi me n tal res ults fro m t he STS500 injector test s ta n d. Additional infor ma tion ca n be fou n d on t he web p age h t t p: / / hif.lbl.gov / t h eo ry /WARP_su m m a ry.ht ml.

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“…[1,2] HIF offers a path to fusion as an energy source. It relies on having ion beams focused down onto the small fusion target, driving it to ignition.…”

Section: Introductionmentioning

confidence: 99%

The WARP Code: Modeling High Intensity Ion Beams

Grote¹,

Friedman²,

Vay³

et al. 2005

AIP Conference Proceedings

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“…Our motivation is to combine adaptive mesh refinement with complex geometry and eventually to include particle-in-cell (PIC) simulation following the ideas in [6]. We use a nodalpoint scheme instead of a cell-centered or finite-volume discretization (as in [7] or [1]) because the nodal discretization is a relatively simple way to treat geometry: a node is either inside or outside the domain.…”

Section: Introductionmentioning

confidence: 99%

A node-centered local refinement algorithm for Poisson's equation in complex geometries

McCorquodale

Colella

Grote

et al. 2004

Journal of Computational Physics

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This paper presents a method for solving Poisson's equation with Dirichlet boundary conditions on an irregular bounded three-dimensional region. The method uses a nodal-point discretization and adaptive mesh refinement (AMR) on Cartesian grids, and the AMR multigrid solver of Almgren. The discrete Laplacian operator at internal boundaries comes from either linear or quadratic (Shortley-Weller) extrapolation, and the two methods are compared. It is shown that either way, solution error is second order in the mesh spacing. Error in the gradient of the solution is first order with linear extrapolation, but second order with Shortley-Weller. Examples are given with comparison with the exact solution. The method is also applied to a heavy-ion fusion accelerator problem, showing the advantage of adaptivity.

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“…For better understanding of experimental observations, self-consistent multiparticle simulations have been performed with the PIC code WARP [32,33]. WARP is equipped with an electromagnetic field solver, so that we can take into account the detailed configurations of conducting electrode boundaries.…”

Section: Pic Simulationsmentioning

confidence: 99%

Experimental study of resonance crossing with a Paul trap

Takeuchi

Fukushima

Ito

et al. 2012

Phys. Rev. ST Accel. Beams

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The effect of resonance crossing on beam stability is studied systematically by employing a novel tabletop experimental tool and a multiparticle simulation code. A large number of ions are confined in a compact linear Paul trap to reproduce the collective beam behavior. We can prove that the ion plasma in the trap is physically equivalent to a charged-particle beam propagating through a strong focusing channel. The plasma confinement force is quickly ramped such that the trap operating point traverses linear and nonlinear resonance stop bands. Assuming a nonscaling fixed field alternating gradient accelerator composed of many identical FODO cells, we measure how much ion losses occur under diverse conditions. It is experimentally and numerically demonstrated that too slow resonance crossing leads to significant ion losses as expected. Particular attention must be paid to the linear coherent resonance excited at a quarter-integer tune. When the beam intensity is high, this type of linear stop band can seriously affect the beam quality even for rather fast resonance crossing. A scaling law is given of the emittance growth caused by the quarter-integer resonance crossing.

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Progress toward source-to-target simulation

Cited by 31 publications

References 10 publications

The WARP Code: Modeling High Intensity Ion Beams

The WARP Code: Modeling High Intensity Ion Beams

A node-centered local refinement algorithm for Poisson's equation in complex geometries

Experimental study of resonance crossing with a Paul trap

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