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- W2063923067 abstract "In this paper, the Fourier expansion-based differential quadrature (FDQ) and the polynomial-based differential quadrature (PDQ) methods are applied to simulate the natural convection in a concentric annulus with a horizontal axis. The comparison and grid independence of PDQ and FDQ results are studied in detail. It was found that both PDQ and FDQ can obtain accurate numerical solutions using just a few grid points and requiring very small computational resources. It was demonstrated in the paper that the FDQ method can be applied to a periodic problem or a non-periodic problem. When FDQ is applied to a non-periodic problem (half of annulus), it can achieve the same order of accuracy as the PDQ method. And when FDQ is applied to the periodic problem (whole annulus), it is very efficient for low Rayleigh numbers. However, its efficiency is greatly reduced for the high Rayleigh numbers. The benchmark solution for Ra=102, 103, 3×103, 6×103, 104, 5×104 are also presented in the paper. Copyright © 1999 John Wiley & Sons, Ltd." @default.
- W2063923067 created "2016-06-24" @default.
- W2063923067 creator A5091464682 @default.
- W2063923067 date "1999-08-30" @default.
- W2063923067 modified "2023-10-17" @default.
- W2063923067 title "Application of differential quadrature method to simulate natural convection in a concentric annulus" @default.
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- W2063923067 doi "https://doi.org/10.1002/(sici)1097-0363(19990830)30:8<977::aid-fld873>3.0.co;2-j" @default.
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