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Full-Text Articles in Mechanical Engineering
Application Of An Hp-Adaptive Finite Element Method For Thermal Flow Problems, Xiuling Wang, Darrell Pepper
Application Of An Hp-Adaptive Finite Element Method For Thermal Flow Problems, Xiuling Wang, Darrell Pepper
Mechanical Engineering Faculty Research
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 …
Application Of Meshless Methods For Thermal Analysis, Darrell Pepper, Bozidar Sarler
Application Of Meshless Methods For Thermal Analysis, Darrell Pepper, Bozidar Sarler
Mechanical Engineering Faculty Research
Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) — which are simple to implement — for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. …