- About this Journal ·
- Abstracting and Indexing ·
- Aims and Scope ·
- Article Processing Charges ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Recently Accepted Articles ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents
Modelling and Simulation in Engineering
Volume 2012 (2012), Article ID 317359, 14 pages
Parallel Mesh Adaptive Techniques Illustrated with Complex Compressible Flow Simulations
1EPFL STI GR-SCI-IAG, Station 9, 1015 Lausanne, Switzerland
2APCO Technologies, Chemin de Champex 10, CH-1860 Aigle, Switzerland
Received 27 April 2012; Accepted 13 August 2012
Academic Editor: Antonio Munjiza
Copyright © 2012 Pénélope Leyland et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- S. Z. Pirzadeh, “An adaptive unctructured grid method by grid subdivision, local remeshing, and grid movement,” AIAA Paper 99-3255, 1999.
- R. Richter, Schémas de Capture de Discontinuités en Maillage Non-Structuré avec Adaptation Dynamique: Applications aux écoulements de l'aérodynamique [Ph.D. thesis], Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1993.
- M. Sala, P. Leyland, and A. Casagrande, “A parallel adaptive Newton-Krylov-Schwarz method for the 3D compressible flow simulations,” Modelling and Simulation in Engineering. In press.
- K. Eriksson, C. Johnson, and J. Lennblad, “Error estimates and automatic time and space step control for linear parabolic problems,” SIAM Journal on Scientific Computing, 1990.
- P. Leyland, F. Benkhaldoun, N. Maman, and B. Larrouturou, “Dynamical mesh adaptation criteria for accurate capturing of stiff phenomena in combustion,” International Journal of Numerical Methods in Heat and Mass Transfer, 1993, (INRIA Report 1876).
- P. G. Ciarlet, “The finite element method for elliptic problems,” Classics in Applied Mathematics, vol. 40, pp. 1–511, 2002.
- M. Sala, Domain decomposition preconditioners: theoretical properties, application to the compressible euler equations, parallel aspects [Ph.D. thesis], Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2003.
- B. Rivière, M. F. Wheeler, and V. Girault, “A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems,” SIAM Journal on Numerical Analysis, vol. 39, no. 3, pp. 902–931, 2002.
- R. Hartmann and P. Houston, “Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws,” SIAM Journal on Scientific Computing, vol. 24, no. 3, pp. 979–1004, 2003.
- W. G. Habashi, M. Fortin, J. Dompierre, M. G. Vallet, and Y. Bourgault, “Anisotropic mesh adaptation: a step towards a mesh-independent and user-independent cfd,” in Barriers and Challenges in Computational Fluid Dynamics, pp. 99–117, Kluwer Academic, 1998.
- L. Formaggia and S. Perotto, “New anisotropic a priori error estimates,” Numerische Mathematik, vol. 89, no. 4, pp. 641–667, 2001.
- T. Apel, Anisotropic Finite Elements: Local Estimates and Applications. Advances in Numerical Mathematics, Habilitationsschrift, Teubner, Germany, 1999.
- D. J. Mavriplis, “Unstructured mesh generation and adaptivity,” Tech. Rep. TR-95-26, ICASE-NASA, 1995.
- G. Warren, W. K. Anderson, J. L. Thomas, and S. L. Krist, “Grid convergence for adaptive methods,” AIAA Paper 91-1592, 1991.
- Y. Savoy and P. Leyland, “Adaptive module,” Tech. Rep. TR5.1, IDeMAS, 2000.
- G. F. Carey, Computational Grids: Generation, Adaptation and Solution Strategies, Taylor & Francis, 1997.
- J. T. Batina, “Unsteady Euler airfoil solutions using unstructured dynamic meshes,” AIAA Journal, vol. 28, no. 8, pp. 1381–1388, 1990.
- C. Degand and C. Farhat, “A three-dimensional torsional spring analogy method for unstructured dynamic meshes,” Computers and Structures, vol. 80, no. 3-4, pp. 305–316, 2002.
- F. J. Blom and P. Leyland, “Analysis of fiuid-structure interaction by means of dynamic unstructured meshes,” Journal of Fluids Engineering, vol. 120, no. 4, pp. 792–798, 1998.
- R. Richter and P. Leyland, “Distributed CFD using auto-adaptive finite element,” in ICASE/LaRC Workshop on Adaptive Grid Methods, 1994.
- D. J. Mavriplis, “Three-dimension high-lift analysis using a parallel unstructured multigrid solver,” Tech. Rep. TR-98-20, ICASE, 1998.
- P. Leyland and R. Richter, “Completely parallel compressible flow simulations using adaptive unstructured meshes,” Computer Methods in Applied Mechanics and Engineering, vol. 184, no. 2–4, pp. 467–483, 2000.
- R. Richter, Schémas de Capture de Discontinuités en Maillage Non-Structuré avec Adaptation Dynamique: Applications aux écoulements de l'aérodynamique, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 1993.
- R. Richter and P. Leyland, “Entropy correcting schemes and non-hierarchical auto-adaptive dynamic finite element-type meshes: applications to unsteady aerodynamics,” International Journal for Numerical Methods in Fluids, vol. 20, no. 8-9, pp. 853–868, 1995.
- Y. Savoy and P. Leyland, “Parallel mesh adaptation for unstructured grids within the IDeMas project,” Tech. Rep., IMHEF-DGM EPFL, 2000.
- G. Karypis and V. Kumar, “ParMETIS: parallel graph partitioning and sparse matrix ordering library,” Tech. Rep. 97-060, Department of Computer Science, University of Minnesota, 1997.
- M. A. Weiss, Data Structure and Algorithm Analysis, The Benjamin Cummings Publishing Company, 1992.
- J. Bastin and G. Rogé, “A multidimensional fluctuation splitting scheme for the three dimensional Euler equations,” Mathematical Modelling and Numerical Analysis, vol. 33, no. 6, pp. 1241–1259, 1999.
- R. Gruber and V. Keller, HPC@ Green IT: Green High Performance Computing Methods, Springer, 2010.