Abstract
The objective of this work is to create grids for free-surface water flow simulation entirely with automatic grid refinement. It is shown why it is necessary to refine the mesh iteratively as the solution converges and why refinement and derefinement of hexahedral cells must be treated anisotropically.The proposed refinement criterion is a combination of the pressure Hessian with refinement at the free surface, in order to capture the flow which drives the surface motion and the position of the surface itself. Smoothing is needed in the computation of the Hessian in order to remove oscillations in the pressure, the pressure Hessian is extrapolated through the free surface to remove its discontinuity there.Two test cases confirm that effective fine meshes for wave computation can be created with the proposed automatic refinement procedure.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Deng, G.B., Visonneau, M.: Comparison of explicit algebraic stress models and second-order turbulence closures for steady flows around ships. In: 7th International Conference on Numerical Ship Hydrodynamics, Nantes, France (1999)
Deng, G.B., Guilmineau, E., Leroyer, A., Queutey, P., Visonneau, M., Wackers, J.: Verification and validation for unsteady computation. In: Larsson, L., Stern, F., Visonneau, M. (eds.) A Workshop on Numerical Ship Hydrodynamics, Gothenburg, Sweden (2010)
Duvigneau, R., Visonneau, M.: On the role played by turbulence closures in hull shape optimization at model and full scale. J. Mar. Sci. Technol. 8, 11–25 (2003)
George, P.L., Borouchaki, H.: Delaunay Triangulation and Meshing – Application to Finite Elements. Hermes, Paris (1998)
Longo, J., Stern, F.: Effects of drift angle on model ship flow. Exp. Fluids 32, 558–569 (2002)
Loseille, A., Dervieux, A., Alauzet, F.: Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations. J. Comput. Phys. 229, 2866–2897 (2010)
Majewski, J.: Anisotropic adaptation for flow simulations in complex geometries. In: 36th CFD/ADIGMA Course on hp-Adaptive and hp-Multigrid Methods. Lecture Series 2010–01. Von Karman Institute, Sint-Genesius-Rode, Belgium (2009)
Queutey, P., Visonneau, M.: An interface capturing method for free-surface hydrodynamic flows. Comput. Fluids 36(9), 1481–1510 (2007)
Rhie, C.M., Chow, W.L.: A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA J. 17, 1525–1532 (1983)
Wackers, J., Ait Said, K., Deng, G.B., Queutey, P., Visonneau, M., Mizine, I.: Adaptive grid refinement applied to RANS ship flow computation. In: 28th Symposium on Naval Hydrodynamics, Pasadena, California (2010)
Wackers, J., Deng, G.B., Visonneau, M.: Combined tensor-based refinement criteria for anisotropic mesh adaptation in ship wave simulation. In: ADMOS 2011, Paris, France (2011)
Wackers, J., Leroyer, A., Deng, G.B., Queutey, P., Visonneau, M.: Adaptive grid refinement for hydrodynamic flows. Comput. Fluids 55, 85–100 (2012)
Wackers, J., Deng, G.B., Queutey, P., Visonneau, M., Guilmineau, E., Leroyer, A.: Sliding grids and adaptive grid refinement applied to ship hydrodynamics. In: 29th Symposium on Naval Hydrodynamics, Gothenburg, Sweden (2012)
Acknowledgements
Computations were performed using HPC resources from GENCI (Grant 2013-21308), which is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wackers, J., Deng, G., Guilmineau, E., Leroyer, A., Queutey, P., Visonneau, M. (2015). Creating Free-Surface Flow Grids with Automatic Grid Refinement. In: Perotto, S., Formaggia, L. (eds) New Challenges in Grid Generation and Adaptivity for Scientific Computing. SEMA SIMAI Springer Series, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-06053-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-06053-8_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06052-1
Online ISBN: 978-3-319-06053-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)