Use of an HOC scheme to determine the existence of multiple steady states in the antiparallel lid-driven flow in a two-sided square cavity
| Autor: | Chitrarth Prasad, Anoop K. Dass |
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| Rok vydání: | 2016 |
| Předmět: |
Work (thermodynamics)
General Computer Science Carry (arithmetic) Computation Mathematical analysis General Engineering Motion (geometry) Reynolds number Geometry 01 natural sciences 010305 fluids & plasmas law.invention 010101 applied mathematics symbols.namesake Antiparallel (mathematics) Flow (mathematics) law 0103 physical sciences Parallel motion symbols 0101 mathematics Mathematics |
| Zdroj: | Computers & Fluids. 140:297-307 |
| ISSN: | 0045-7930 |
| Popis: | Though the existence of multiple steady states for the antiparallel lid motion is known only for two-sided rectangular cavity flows, this work demonstrates for the first time that such solutions exist for a square cavity as well if the Reynolds number (Re) exceeds the threshold value of 3202. To obtain accurate results a higher-order compact (HOC) scheme of spatially fourth- and temporally second-order accuracy is used. It is also known that multiple solutions exist at all aspect ratios for the parallel motion in a two-sided cavity above a certain Re value. Earlier computations for parallel and antiparallel lid motion have been carried out using non-compact schemes. In this work much care has been observed to carry out highly accurate computations using the HOC scheme to re-examine these cases as well. Tabulated values of various parameters serve as a means of comparison to determine the accuracy of other solution methods. |
| Databáze: | OpenAIRE |
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