Advanced Finite Element Discretizations for High-Energy Ion Transport
The dominant continuous slowing-down energy loss process coupled with the small (but nonnegligible) straggling poses a significant challenge for deterministic numerical solution when incident beams are monoenergetic or have discontinuous energy spectra. Such spectra broaden very slowly with depth into the target material. Advanced space-energy discretization methods are consequently necessary to achieve numerical robustness. Finite element solutions to this problem were investigated using two general families of discontinuous trial functions, one linear and the other nonlinear. The two families were numerically tested, and results are shown for 1.7-GeV protons incident on a W target. Results from quadratic and exponential-quadratic discontinuous trial functions are in excellent agreement with Monte Carlo results. It is found that very high order finite element schemes are necessary for monoenergetic charged-particle beam transport.
- Research Organization:
- University of New Mexico, Albuquerque, New Mexico (US)
- Sponsoring Organization:
- US Department of Energy (US)
- OSTI ID:
- 786052
- Report Number(s):
- NONE; ISSN 0003-018X; CODEN TANSAO; ISSN 0003-018X; CODEN TANSAO
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BEAM TRANSPORT
CHARGED-PARTICLE TRANSPORT THEORY
COMPARATIVE EVALUATIONS
ENERGY LOSSES
ENERGY SPECTRA
FINITE ELEMENT METHOD
GALERKIN-PETROV METHOD
GEV RANGE 01-10
ION BEAMS
NUMERICAL SOLUTION
PROTON TRANSPORT
PROTONS
TUNGSTEN