An efficient algorithm for phase change problem in tumor treatment using alpha FEM

作者：Li, Eric^*; Liu, G. R.; Tan, Vincent; He, Z. C.

来源：Gynecologie Obstetrique Fertilite & Senologie, 2021, 49(10): 1954-1967.

DOI：10.1016/j.ijthermalsci.2010.06.003

• Bioheat transfer
• Numerical method
• Meshfree method
• Finite element method (FEM)
• Alpha finite element method (alpha FEM)

Cryosurgery is an effective treatment for killing tumor tissues. During the cryosurgery process, a phase transformation occurs in the undesired tissue. The most popular numerical method for simulation of phase change problem is fixed grid methods where the latent heat is function of temperature. In this paper, a fixed grid method using the alpha finite element (alpha FEM) formulation is presented to simulate the phase transformation and temperature field during the cryosurgery process for liver tumor treatment. The alpha FEM model is first established and tuned to have a close-to-exact stiffness compared with the standard finite element method (FEM). Three examples of liver tumor treatment including the single probe for regular shape of tumor, and multiple probes for regular and irregular shape of tumor are presented. The numerical results using alpha finite element method have demonstrated the effectiveness of the procedure.

• 出版日期2021-10
• 单位MIT; 湖南大学