Phase change in materials is important in many sciences and engineering applications such as metal processing, crystal growth, industrial furnaces, among others. In all the applications that involve high temperature, radiation greatly influences the thermal features and it cannot be neglected. Experimental predictions of the impact of radiation in the heat conduction can be very demanding. Therefore, numerical modeling can play a crucial role and provide accurate and effective thermal predictions. This presentation covers two main topics. First, we present accurate numerical methods for solving radiation–conduction heat transfer in participating media. The mathematical model is based on the SPN approximations. The numerical methods are based on a mixed finite element formulation and a time-dependent mesh adaptation algorithm to enhance the accuracy of the solutions. Second, we present mathematical models and numerical methods developed for phase change problems. Two- and three-dimensional numerical simulations are considered to show the effectiveness of the overall methodology.
This video was produced by the SITE Research Center at New York University, as part of their talk series.
