Monte Carlo Method Simulation for Two-Dimensional Heat Transfer in Homogenous Medium and Proposed Application to Quench Propagation Simulation

Performing quench propagation simulations of full size superconducting coils is a challenging problem due to complex coil structures and internal arrangements of superconducting wires. In addition, superconducting wires and cables themselves constitute complex three-dimensional arrangements comprised of superconductor, matrix, stabilizer, insulation, and other materials. Modeling quenches in complete coils is, therefore, a complex multiscale and multiphysics problem that is difficult to solve with conventional techniques like finite element or finite difference methods. Monte Carlo methods have been successfully used to simulate various multiscale and multiphysics problems, but to our knowledge have not been applied to quench propagation simulations. In the presented work, the application of the Monte Carlo method for quench propagation problems has been studied and first results are presented. A mesh free Monte Carlo method has been used that lends itself easily to parallelization.