Journal of Heat Transfer · 1980 · 20 citations · 0 references
EngineeringElectrical EngineeringPhysicsComputational PhysicsHeat TransferThermodynamicsHeat ConductionHeat Transfer ModelingMonte Carlo MethodsMonte Carlo SimulationMonte Carlo Transport MethodsSimulation MethodsAnalytical Solutions Of Heat ConductionHeat Conduction EquationHeat Conduction In FluidsHeat Conduction ModelsHeat EquationHeat Transport ModelingMonte Carlo AnalysisMonte Carlo Transport Simulation
A new approach in the use of Monte Carlo to solve heat conduction problems is developed using a transport equation approximation to the heat conduction equation. A variety of problems is analyzed with this method and their solutions are compared to those obtained with analytical techniques. This Monte Carlo approach appears to be limited to the calculation of temperatures at specific points rather than temperature distributions. The method is applicable to the solution of multimedia problems with no inherent limitations as to the geometric complexity of the problem.