An hp-adaptive finite element model based on mesh refinement and increasing spectral order is used to solve for viscous flow problems including natural and forced convection. The adaptive FEM produces highly accurate numerical results. An a-posteriori error estimator based on the L-2 norm is employed to guide the adaptive procedure. Example problems include lid-driven cavity viscous flow, natural convection in a differentially heated square enclosure and forced convection over a backward facing step. Results compared with data reported in the literature show excellent agreement.
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Louisiana Tech Univ, Math & Stat, Ruston, LA 71272 USA
Louisiana Tech Univ, Mech Engn, Ruston, LA 71272 USALouisiana Tech Univ, Math & Stat, Ruston, LA 71272 USA
Liu, Don
Zheng, Yong-Lai
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Tongji Univ, Sch Civil Engn, Dept Hydraul Engn, Shanghai 200092, Peoples R ChinaLouisiana Tech Univ, Math & Stat, Ruston, LA 71272 USA
Zheng, Yong-Lai
Moore, Arden
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Louisiana Tech Univ, Mech Engn, Ruston, LA 71272 USALouisiana Tech Univ, Math & Stat, Ruston, LA 71272 USA
Moore, Arden
Ferdows, Mohammad.
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Univ Dhaka, Dept Math, Dhaka 1000, BangladeshLouisiana Tech Univ, Math & Stat, Ruston, LA 71272 USA