Shape Determination for Deformed Cavities
Author(s) -
LieQuan Lee,
Volkan Akçelik,
Sheng Chen,
Lixin Ge,
Zenghai Li,
Cho Ng,
Liling Xiao,
Kwok Ko,
Omar Ghattas
Publication year - 2006
Language(s) - English
Resource type - Reports
DOI - 10.2172/892969
Subject(s) - deformation (meteorology) , space (punctuation) , shape optimization , process (computing) , mode (computer interface) , computer science , algorithm , mechanics , mathematics , mathematical optimization , mathematical analysis , physics , geometry , materials science , structural engineering , finite element method , engineering , composite material , operating system
A realistic superconducting RF cavity has its shape deformed comparing to its designed shape due to the loose tolerance in the fabrication process and the frequency tuning for its accelerating mode. A PDE-constrained optimization problem is proposed to determine the deformation of the cavity. A reduce space method is used to solve the PDE-constrained optimization problem where design sensitivities were computed using a continuous adjoint approach. A proof-of-concept example is given in which the deformation parameters of a single cavity-cell with two different types of deformation were computed
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