Abstract
In this note we propose a local post-refinement technique, which can be used to provide the overall conformity of tetrahedral and hexahedral meshes meeting at the planar interface, which presents a quite common situation in many simulations of real-life problems. The same technique can be also used for the case of two adjacent non-matching hexahedral meshes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chen, C.M., KřÞek, M., Liu, L.: Numerical integration over pyramids. Adv. Appl. Math. Mech. 5, 309–320 (2013)
Hannukainen, A., Korotov, S., KřÞek, M.: The maximum angle condition is not necessary for convergence of the finite element method. Numer. Math. 120, 79–88 (2012)
Juntunen, M., Korotov, S.: Conforming post-refinement of non-matching tetrahedral meshes. In: Proceedings of the Mascot, Madrid, Spain (2013, to appear)
KřÞek, M.: On the maximum angle condition for linear tetrahedral elements. SIAM J. Numer. Anal. 29, 513–520 (1992)
Liu, L., Davies, K.B., Yuan, K., KřÞek, M.: On symmetric pyramidal finite elements. Dyn. Continuous Discrete Impulsive Syst. Ser. B Appl. Algorithms 11, 213–227 (2004)
Liu, L., Davies, K.B., KřÞek, M., Guang, L.: On higher order pyramidal finite elements. Adv. Appl. Math. Mech. 3, 131–140 (2011)
Owen, S.J., Canann, S.A., Saigal, S.: Pyramidal elements for maintaining tetrahedra to hexahedra conformability. In: AMD, Trends in Unstructured Mesh Generation, vol. 220, pp. 1–7. ASME (1997)
Qin, N., Carnie, G., LeMoigne, A., Liu, X., Shahpar, S.: Buffer layer method for linking two non-matching multi-block structured grids. In: AIAA 2009–1361 (2009)
Song, S., Wan, M., Wang, S., Wang, D., Zou, Z.: Robust and quality boundary constrained tetrahedral mesh generation. Commun. Comput. Phys. 14, 1304–1321 (2013)
Wang, Y., Qin, N., Carnie, G., Shahpar, S.: Zipper layer method for linking two dissimilar structured meshes. J. Comput. Phys. 225, 130–148 (2013)
Wieners, C.: Conforming discretizations on tetrahedrons, pyramids, prisms and hexahedrons. University of Stuttgart, Bericht 97/5, pp. 1–9 (1997)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Korotov, S., Rahman, T. (2016). On Conforming Local Post-refinement of Adjacent Tetrahedral and Hexahedral Meshes. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds) Parallel Processing and Applied Mathematics. Lecture Notes in Computer Science(), vol 9574. Springer, Cham. https://doi.org/10.1007/978-3-319-32152-3_34
Download citation
DOI: https://doi.org/10.1007/978-3-319-32152-3_34
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-32151-6
Online ISBN: 978-3-319-32152-3
eBook Packages: Computer ScienceComputer Science (R0)