A novel moving mesh method for solving fluid dynamic equations
Source abstract
Abstract
In this article, a novel moving finite elements method has been presented and applied to solve two typical fluid dynamic equations. Different from the existing methods, the moving direction and the distance of the nodes were obtained by solving a variable coefficient diffusion equation. By this method, neither the mapping of the region nor the smoothing of the monitoring function is needed. Therefore, the proposed method is easy to be implemented. Numerical examples show that the proposed method can move the nodes to the position where the solution changed drastically, and the resolution of numerical solutions has improved distinctly.
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Research context
OpenAlex topics: Advanced Numerical Methods in Computational Mathematics · Computational Fluid Dynamics and Aerodynamics · Numerical methods in engineering
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Affiliations
School of Sciences, Xi’an University of Technology 1 , Xi’an, Shaanxi 710048, China
School of Science, Xi’an Polytechnic University 2 , Xi’an, Shaanxi 710048, China
Funding
Young Scientistis Found of National National Science Foundation of China · Natural Science Foundation of Shaanxi Province · Foundation for Innovative Research Groups of the National Natural Science Foundation of China
References (36)
Show source-provided references
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