An Efficient Accurate Direct Solution of Poisson’s Equation for Computation of Meteorological Parameters

D. R. Chakraborty; P.S. Salvekar

doi:10.1007/BF02659084

Impact Factor: 5.8

Volume 6 Issue 4

Oct. 1989

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Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1989 > 6(4): 501-508

An Efficient Accurate Direct Solution of Poisson’s Equation for Computation of Meteorological Parameters

1.
Indian Institute of Tropical Meteorology, Pune-411005, India,Indian Institute of Tropical Meteorology, Pune-411005, India

doi: 10.1007/BF02659084

Abstract
References
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Abstract:
Poisson's equation is solved numerically by two direct methods, viz. Block Cyclic Reduction (BCR) method and Fourier Method. Qualitative and quantitative comparison between the numerical solutions obtained by two methods indicates that BCR method is superior to Fourier method in terms of speed and accuracy. Therefore. BCR method is applied to solve (?)2(?)= ζ and (?)2X= D from observed vorticity and divergent values. Thereafter the rotational and divergent components of the horizontal monsoon wind in the lower troposphere are reconstructed and are com pared with the results obtained by Successive Over-Relaxation (SOR) method as this indirect method is generally in more use for obtaining the streamfunction ((?)) and velocity potential (X) fields in NWP models. It is found that the results of BCR method are more reliable than SOR method.
References

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Manuscript History

Manuscript received: 10 October 1989

Manuscript revised: 10 October 1989

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

An Efficient Accurate Direct Solution of Poisson’s Equation for Computation of Meteorological Parameters

1. Indian Institute of Tropical Meteorology, Pune-411005, India,Indian Institute of Tropical Meteorology, Pune-411005, India

Manuscript received: 1989-10-10
Manuscript revised: 1989-10-10

Abstract: Poisson's equation is solved numerically by two direct methods, viz. Block Cyclic Reduction (BCR) method and Fourier Method. Qualitative and quantitative comparison between the numerical solutions obtained by two methods indicates that BCR method is superior to Fourier method in terms of speed and accuracy. Therefore. BCR method is applied to solve (?)2(?)= ζ and (?)2X= D from observed vorticity and divergent values. Thereafter the rotational and divergent components of the horizontal monsoon wind in the lower troposphere are reconstructed and are com pared with the results obtained by Successive Over-Relaxation (SOR) method as this indirect method is generally in more use for obtaining the streamfunction ((?)) and velocity potential (X) fields in NWP models. It is found that the results of BCR method are more reliable than SOR method.