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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 1
Mesh Adaptation with Refinement and Derefinement for a Three-Dimensional Wind Field Model J.M. González-Yuste, E. Rodríguez, R. Montenegro, J.M. Escobar and G. Montero
University Institute of Intelligent Systems and Numerical Applications in Engineering (IUSIANI), University of Las Palmas de Gran Canaria, Spain Full Bibliographic Reference for this paper
, "Mesh Adaptation with Refinement and Derefinement for a Three-Dimensional Wind Field Model", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 1, 2006. doi:10.4203/ccp.84.1
Keywords: 3D triangulations, finite element, adaptive meshes, object oriented method, adaptive refinement/derefinement, data structures, wind field models.
Summary
In previous works [2], we have presented a refinement algorithm for tetrahedral meshes. This algorithm is based on eight-subtetrahedral subdivision, according to an error indicator or an estimation of the numerical solution. If
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In [3] the implementation for the derefinement algorithm is presented, where mesh nodes are removed if the difference between the numerical and the interpolated solution is lower than Usually, it is difficult to obtain reliable error indicators that specify the elements that should be refined in the mesh. In the wind field model presented in [1], the error indicator is the gradient of the solution in each element. But not always is it possible to dispose of any indicator.
We now present a different method. The mesh will be globally refined, so error indicators or estimations are not required. After that, derefinement process is carried out according to the
Theoretically, this method is fully automatic. The sequence of meshes might be convergent to
Another case treated is related to the wind field model [1]. The difference in the numerical solution between terrain elements and their adjacent elements is not improved by the refinement process. New elements introduced would keep the difference with new terrain elements, and they would be refined time and again. Therefore, the parameter An implementation of this method is presented with both, real and test problems. The test problem is a 3D Gaussian and a real problem is the wind model applied to the south of La Palma island. References
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