Numerical results are presented for a set of convective thermal flow problems using an hp-adaptive finite element technique. The hp-adaptive model is based on mesh refinement and spectral order incensement to produce enhanced accuracy while attempting to minimize computational requirements. An a-posteriori error estimator based on the L2 norm is employed to guide the adaptation procedure. Example test cases consisting of natural convection in a differentially heated enclosure, flow with forced convection heat transfer over a backward facing step and natural convection within an enclosed partition are presented. Numerical results are compared with published data in the literature.
Heat – Convection; Mathematical models
Heat Transfer, Combustion | Mechanical Engineering
Copyright American Institute of Aeronautics and Astronautics. Used with permission.
Application of an HP-Adaptive Finite Element Method for Thermal Flow Problems.
44th AIAA Aerospace Sciences Meeting 2006, American Institute of Aeronautics and Astronautics, 10