原名「台灣學術線上」
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項次 書目
1
題名:A New Parallel Domain-Decomposed Chebyshev Collocation Method for Atmospheric and Oceanic Modeling    
著者:Yu-Ming TsaiHung-Chi KuoYung-Chieh ChangYu-Heng Tseng
出版地區:台灣
出版城市:台北市
學科:地球科學
關鍵字:Chebyshev collocation method ; Domain-decomposition ; 2-D nonlinear shallow water model
刊名:Terrestrial, Atmospheric and Oceanic Sciences
卷期:23卷4期(2012.8)
頁碼:439-450
語言:英語
摘要: 英文摘要PDF

Spectral methods seek the solution to a differential equation in terms of series of known smooth function. The Chebyshev series possesses the exponential-convergence property regardless of the imposed boundary condition, and therefore is suited for the regional modeling. We propose a new domain-decomposed Chebyshev collocation method which facilitates an efficient parallel implementation. The boundary conditions for the individual sub-domains are exchanged through one grid interval overlapping. This approach is validated using the one dimensional advection equation and the inviscid Burgers' equation. We further tested the vortex formation and propagation problems using two-dimensional nonlinear shallow water equations. The domain decomposition approach in general gave more accurate solutions compared to that of the single domain calculation. Moreover, our approach retains the exponential error convergence and conservation of mass and the quadratic quantities such as kinetic energy and enstrophy. The efficiency of our method is greater than one and increases with the number of processors, with the optimal speed up of 29 and efficiency 3.7 in 8 processors. Efficiency greater than one was obtained due to the reduction the degrees of freedom in each sub-domain that reduces the spectral operational count and also due to a larger time step allowed in the sub-domain method. The communication overhead begins to dominate when the number of processors further increases, but the method still results in an efficiency of 0.9 in 16 processors. As a result, the parallel domain-decomposition Chebyshev method may serve as an efficient alternative for atmospheric and oceanic modeling.


    

本卷期目次
Terrestrial, Atmospheric and Oceanic Sciences 23卷4期 (2012.8)
Determination of Vertical Velocity Field of Southernmost Longitudinal Valley in Eastern Taiwan: A Joint Analysis of Leveling and GPS Measurements/ Horng-Yue ChenJian-Cheng LeeHsin TungShui-Beih YuYa-Ju HsuHungkyu Lee
Comparative Study of Performance of CMIP3 GCMs in Simulating the East Asian Monsoon Variability/ Sahana PaulHuang-Hsiung Hsu
Possible Influences of ENSO on Winter Shipping in the North Pacific/ Jau-Ming ChenChih-Min HsiehJin-Shuen Liu
Characterizing Spatial-Temporal Variations in Vegetation Phenology over the North-South Transect of Northeast Asia Based upon the MERIS Terrestrial Chlorophyll Index/ Jia-Xin JinHong JiangXiu-Ying ZhangYing Wang
Variations of Terrestrial Net Primary Productivity in East Asia/ Fang-Min ZhangWei-Min JuShuang-He ShenShao-Qiang WangGui-Rui YuShi-Jie Han
A New Parallel Domain-Decomposed Chebyshev Collocation Method for Atmospheric and Oceanic Modeling/ Yu-Ming TsaiHung-Chi KuoYung-Chieh ChangYu-Heng Tseng
Retention Characteristics for Multiple-PhaseFluid Systems/ Chia-Hsing TsaiGour-Tsyh Yeh
NOTES AND CORRESPONDENCE Estimating the Radiated Seismic Energy of the 2010 ML 6.4 JiaSian, Taiwan, Earthquake Using Multiple-Event Analysis/ Ruey-Der Hwang
 
   
 
   

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