A two-dimensional finite volume scheme solving the axisymmetric radiative heat transfer based on general structured grids

Abstract

A two-dimensional finite volume method (FVM) based on structured grids is developed to solve the axisymmetric radiative heat transfer with absorbing, emitting and anisotropically scattering media. The present scheme is not derived by discretizing axisymmetric radiative transfer equation (RTE), but by taking the axisymmetric limit of general 3D radiation FVM, which can save the computation workloads greatly and avoid the singularity of the axisymmetric RTE when r→0. Because of sharing same philosophy and meshes, it has very strong potentials of being coupled with popular computational fluid dynamics (CFD) solvers. This method is also fully validated by three benchmark cases: the cylindrical enclosure, truncated conical enclosure, and rocket nozzle, and performs excellently both in prediction accuracy and geometric flexibility.