Summary
A modification is proposed to the equations of linear elasticity as used to deform Euler and Navier-Stokes meshes. In particular it is seen that the equations do not admit rigid body rotations as solutions, and it is shown how these solutions may be recovered by modifying the constitutive law. The result is significantly more robust to general deformations, and combined with incremental application generates valid meshes well beyond the point at which remeshing is required.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
T. Baker and P. Cavallo. Dynamic adaption for deforming tetrahedral meshes. 37th AIAA Aerospace Sciences Meeting, Reno, NV. AIAA-1999-3253, 1999.
R.P. Dwight and J. Brezillon. Effect of various approximations of the discrete adjoint on gradient-based optimization. Proceedings of the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno NV. AIAA-2006-0690, 2006.
K. Stein, T. Tezduyar, and R. Benney.Mesh moving techniques for fluid-structure interactions with large displacements. J. Appl. Mech., 70:58–63, 2003.
Z. Yang and D. Mavriplis. Unstructured dynamic meshes with higher-order time integration schemes for the unstready Navier-Stokes equations. 43th AIAA Aerospace Sciences Meeting, Jan. 10-13, Reno, NV. AIAA-2005-1222, 2005.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dwight, R.P. (2009). Robust Mesh Deformation using the Linear Elasticity Equations. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_62
Download citation
DOI: https://doi.org/10.1007/978-3-540-92779-2_62
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92778-5
Online ISBN: 978-3-540-92779-2
eBook Packages: EngineeringEngineering (R0)