An operator splitting method with FDM and FEM for the convection- diffusion equation using boundary-fitted coordinate system |
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Authors: | Jie-Min Zhan Yao-Song Chen |
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Institution: | aDept. of Applied Mechanics and Engineering, Zhongshan Univ., Guangzhou, China;†Dept. of Mech., Peking Univ., Beijing 100871, China |
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Abstract: | An operator splitting method combining finite difference method and finite element method is proposed in this paper by using boundary-fitted coordinate system. The governing equation is split into advection and diffusion equations and solved by finite difference method using boundary-fitted coordinate system and finite element method respectively. An example for which analytic solution is available is used to verified the proposed methods and the agreement is very good. Numerical results show that it is very efficient. |
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Keywords: | Operator Splitting Combined method of FDM and FEM Boundary-fitted coordinated system Convection-diffusion |
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