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Multidimensional single-step vector upwind schemes for highly convective transport problems

Journal Article · · Numerical Heat Transfer. Part B, Fundamentals; (United States)
; ;  [1]
  1. Univ. degli Studi di Napoli Federico II (Italy). Dept. di Energetica Termofluidodinamica e Condizionamenti Ambientali

After a synthesis of existing numerical approaches, a family of single-step time-marching upwind schemes is proposed for the convective-diffusive balance of a scalar in multidimensional incompressible laminar flows. A functional description of the new approach is given too. The schemes are adequate to the simulation of purely or highly convective transport phenomena. The proposed schemes were applied to a scalar test problem (rotating hill) and the results evaluated after an analysis of the intrinsic limitations of test itself. A third-order, fully upwind-biased scheme of the family is applied to the lid-driven and thermally driven square cavity problems. In the lid-driven case a steady-state solution is not achieved at Re = 10[sup 4].

OSTI ID:
6092955
Journal Information:
Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 23:4; ISSN 1040-7790; ISSN NHBFEE
Country of Publication:
United States
Language:
English

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