COMPARISON BETWEEN MPDATA AND HIGH ORDER UPWIND COMPACT FINITE DIFFERENCE METHODS IN AIR POLLUTANTS DISPERSION MODELING

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ASHRAFI KH.

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Journal: Journal of Environmental Studies Year:2009 | Volume:35 | Issue:49 Page(s): 1-8

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Title

COMPARISON BETWEEN MPDATA AND HIGH ORDER UPWIND COMPACT FINITE DIFFERENCE METHODS IN AIR POLLUTANTS DISPERSION MODELING

Author(s)

ASHRAFI KH. | Issue Writer Certificate

Keywords

MPDATAQ3

UPWIND COMPACT FINITE DIFFERENCEQ3

ADVECTION EQUATIONQ3

AIR POLLUTION DISPERSION MODELINGQ3

Abstract

In this paper high order multidimensional positive definite advection transport algorithm (MPDATA) and compact finite difference methods are applied to one (1-D) and two-dimensional (2-D) ADVECTION EQUATION. MPDATA methods are designed based on upwind scheme using anti-diffusive velocity that compensates diffusivity of upwind method. In high order compact method one implicit relation between a function and its first derivative is added to the governing equation of flow and this combination increases the accuracy of the method. In the present study, the grid study is carried out at 11,21,41,81, 161,321, and 641 grid points in 1-D case. Also, the number of grid points in 2-D case is 11x11, 21x21, 41x41, 81x81, 161x161 and 321x 321 for MPDA TA method and 11x 11, 21x 21, 41x 41 and 81x 81 for compact scheme. Two important characteristics of numerical schemes are investigated. First, the accuracy of two mentioned methods is compared together. It shows that in 1-D case the accuracy of MPDA TA scheme at 641 grid points is approximately equal to the accuracy of compact method at 161 grid points. In 2-D case this comparison shows that the accuracy of MPDA TA scheme at 321x 321 grid points is approximately equal to the accuracy of compact method at 41x 41 grid points. Second, the comparison of computational cost of two methods shows that the computational cost of compact method is 333 and 306 times of MPDAT A scheme computational cost in 1-D and 2-D cases, respectively.

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APA: Copy

ASHRAFI, KH.. (2009). COMPARISON BETWEEN MPDATA AND HIGH ORDER UPWIND COMPACT FINITE DIFFERENCE METHODS IN AIR POLLUTANTS DISPERSION MODELING. JOURNAL OF ENVIRONMENTAL STUDIES, 35(49), 1-8. SID. https://sid.ir/paper/3337/en

Vancouver: Copy

ASHRAFI KH.. COMPARISON BETWEEN MPDATA AND HIGH ORDER UPWIND COMPACT FINITE DIFFERENCE METHODS IN AIR POLLUTANTS DISPERSION MODELING. JOURNAL OF ENVIRONMENTAL STUDIES[Internet]. 2009;35(49):1-8. Available from: https://sid.ir/paper/3337/en

IEEE: Copy

KH. ASHRAFI, “COMPARISON BETWEEN MPDATA AND HIGH ORDER UPWIND COMPACT FINITE DIFFERENCE METHODS IN AIR POLLUTANTS DISPERSION MODELING,” JOURNAL OF ENVIRONMENTAL STUDIES, vol. 35, no. 49, pp. 1–8, 2009, [Online]. Available: https://sid.ir/paper/3337/en

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