Abstract

The work describes the maximization problem regarding heating of an area on the surface of a thin plate within a given temperature range. The solution of the problem is applied to ion injectors. The given temperature range corresponds to a required pressure of a saturated gas comprising evaporated atoms of the plate material. In order to find the solution, a one-parameter optimization problem was formulated and implemented leading to optimization of the plate's specific geometry. It was shown that a heated area can be increased up to 23.5% in comparison with the regular rectangle form of a given plate configuration.

Highlights

  • The work describes the maximization problem regarding the heating of an area on the surface of a thin plate within a given temperature range

  • In order to maximize the working area on its surface we suggested to change the geometry in the following way

  • A parallel algorithm for solving the optimization problem was implemented with the usage of Message Passing Interface (MPI) [6]

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Summary

Introduction

The work describes the maximization problem regarding heating of an area on the surface of a thin plate within a given temperature range. The injection starts when the temperature reaches the required value depending on the material of the plate. In this work a model of the plate and a one-parameter variation of its geometry are discussed (see figure 1). In order to maximize the working area on its surface we suggested to change the geometry in the following way. Our simulations have shown that the working area of the plate has approximately a rectangular shape for the used set of parameters. The shape of the plate has been optimized by varying the length of these wings in order to reach a maximum working area. EPJ Web of Conferences (a) Sketch of the existing plate geometry.

Main Equation and Conditions
Formulation of the Optimization Problem
Solving the Direct Problem
Algorithm for Solving the Optimization Problem
Parallel Algorithm
Results
Summary and Conclusion
Full Text
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