The computation of the temperature with accuracy is essential to determine the shape of a bubble around a nanowire immersed in a liquid. The study of the physical phenomenon consists in solving a coupled photo-thermic system between light and nanowire. The numerical multiphysic model is developped to study and simulate the variations of the temperature and the shape of the induced bubble after the illumination of the nanowire. An optimized finite element method, including adaptive remeshing scheme, is developped and used to solve the problem. The evolution of the bubble is achieved by taking into account the physical and geometrical parameters of the nanowire. The feedback relation between the sizes and shapes of the bubble and nanowire is deduced.