  In this article we present a parallel algorithm for simulation of the heat
conduction process inside the so-called pulse cryogenic cell. This simulation
is important for designing the device for portion injection of working gases
into ionization chamber of ion source. The simulation is based on the numerical
solving of the quasilinear heat equation with periodic source in a multilayered
cylindrical domain. For numerical solution the Alternating Direction Implicit
(ADI) method is used. Due to the non-linearity of the heat equation the
simple-iteration method has been applied. In order to ensure convergence of the
iteration process, the adaptive time-step has been implemented. The
parallelization of the calculation has been realized with shared memory
application programming interface OpenMP and the performance of the parallel
algorithm is in agreement with the case studies in literature.
