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Numerical Method And Parallel Algorithms For A Solute Transport Model

Posted on:2006-04-07Degree:MasterType:Thesis
Country:ChinaCandidate:Y H DengFull Text:PDF
GTID:2121360155958445Subject:Applied Mathematics
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The article analyzes the density transformation of KCL as the changing of time. The question for study is a part of the country's task which is made an assault on a strategic pass. This task called "Producing KCl on a Large Scale in ChaErHan Salt Lake". The lake is the biggest salt lake in our nation. However, the ways of obtaining the bittern by driving, the programs of arranging about project and the measures of keeping lookout on disastrous flood, etc the final objective of the graduation-paper is to establish the mathematics model from the direction of the chemical reaction dynamics. In the paper,the major task is studying the algorthm of 2-D model,that to say ,it is the application of HLTFEM. The hybrid laplace tr-ansform finite element method is expanded to solve two-dimensional covection and dispersion problem-s. Since no time step is used ,the method can calculate the specific node concentration at any specific time.The tested results show that this new method can overcome the artifical diffusion and overshoot effectively.This paper presents the parallel algorithms of precise integration methods. The subdomain parallel algorithms of precise integration of convection-diffusion equations are given. The methods take advantage of the high precision of precise integration methods, and they also avoid a large amount of matrice scal culation of whole domain methods. The precision of the methods is better than that of the single point integration. Numerical examples show that the parallel algorithms have high speed upand efficiency.
Keywords/Search Tags:partial differential equations, precise integration methods, parallel algorithms silt carrying flow, smooth region, hydraulic resistance law, difference methods/convection-diffusion equations, mean velocity
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