Cryosurgery is a surgical technique to ablate abnormal tumor tissues with the help of extreme cold using cryogens such as liquid nitrogen, solid carbon dioxide, argon etc. This therapy may be used as a primary treatment for early prostate cancers effectively. During the process of freezing in cryosurgery, a phase transition occurs between the frozen tumor tissues and unfrozen surrounding tissues. The present study aims to showcase the efficiency of fixed grid X-FEM to numerically simulate the evolving phase transition front with time which further illustrates location & dimensions of ice ball generated after freezing. It has been observed that X-FEM with a fixed mesh is capable to capture phase transitions front and temperature fields accurately while traditional form of FEM requires adaptive re-meshing at each time step. From physician point of view, obtained temperature fields are really important to decide the extent of freezing, location of different cryoprobes, and numbers of cryoprobes to be used for a successful treatment.

冷冻手术是一种外科手术技术，它使用诸如液氮，固体二氧化碳，氩气等冷冻剂在极端寒冷的帮助下消融异常的肿瘤组织。这种疗法可以有效地用作早期前列腺癌的主要治疗方法。在冷冻手术的冷冻过程中，在冷冻的肿瘤组织和未冷冻的周围组织之间发生相变。本研究旨在展示固定网格X-FEM在数值上模拟随时间变化的演化相变前沿的效率，从而进一步说明冻结后产生的冰球的位置和尺寸。已经观察到，具有固定网格的X-FEM能够准确捕获相变前沿和温度场，而传统形式的FEM则需要在每个时间步进行自适应重新网格化。