Abstract
This paper examines the procedure of mesh adaptation on plane using the concept of an anisotropic metric. The metric is coupled with the curvature of the solution surface and it governs the process of mesh generation. The metric values are determined from the discrete data from the current simulation step and are stored in the background mesh with the appropriate interpolation procedure. If the solution is given in the form of a vector field, each component is treated separately and can define different metric. In order to combine these metrics, an intersection procedure is used. Several examples of numerical mesh adaptation are provided to illustrate the potential of the described method.
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References
Buscaglia, G., Dari, E.: Anisotropic mesh optimization and its application in adaptivity. Int. J. Numer. Meth. Engng. 40, 4119–4136 (1997)
Dolejsi, V.: Anisotropic mesh adaptation for finite volume and element methods on triangular meshes. Comput. Visual Sci. 1, 165–178 (1998)
Głut, B., Jurczyk, T., Matuszyk, P., Pietrzyk, M.: Anisotropic 2D meshes in finite element modelling. In: Proc. 2nd European Conference on Computational Mechanics, Kraków, Poland, pp. 1865–1872 (2001)
Labbé, P., Dompierre, J., Vallet, M.G., Guibault, F., Trépanier, J.Y.: A measure of the conformity of a mesh to and anisotropic metric. In: Proc. 10th Int. Meshing Roundtable, Newport Beach, California, USA, pp. 319–326 (2001)
Alauzet, F., George, P., Mohammadi, B., Frey, P., Borouchaki, H.: Transient fixed point-based unstructured mesh adaptation. Int. J. Numer. Meth. Fluids 43, 729–745 (2003)
Frey, P.: Anisotropic metrics for mesh adaptation. In: Proc. ECCOMAS 2004, Jyvaskyla, Finland, July 24–28 (2004)
Bottasso, C.: Anisotropic mesh adaptation by metric-driven optimization. Int. J. Numer. Meth. Engng. 60, 597–639 (2004)
Frey, P., Borouchaki, H.: Surface meshing using a geometric error estimate. Int. J. Numer. Meth. Engng. 58, 227–245 (2003)
McIvor, A., Valkenburg, R.: A comparison of local surface geometry estimation methods. Machine Vision and Applications 10, 17–26 (1997)
Głut, B., Jurczyk, T.: Definition and interpolation of discrete metric for mesh generation on 3D surfaces. Computer Science, Annual of AGH University of Science and Technology (in press, 2005)
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Głut, B., Jurczyk, T. (2006). Mesh Adaptation Based on Discrete Data. In: Wyrzykowski, R., Dongarra, J., Meyer, N., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2005. Lecture Notes in Computer Science, vol 3911. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11752578_67
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DOI: https://doi.org/10.1007/11752578_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34141-3
Online ISBN: 978-3-540-34142-0
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