Mesh adaptation for time dependent simulation, optimization and control
Keywords:
Optimization, Unstructured anisotropic mesh adaptation, unsteadinessAbstract
The paper describes our adaptative design and control platform for aerodynamic configurations. The aim is to analyze the impact of mesh discretization and connectivity changes on the convergence of minimization algorithms applied to shape design and state control. Hence, we are interested in analyzing the impact of these changes for unsteady configuration simulations. We propose a transient fixed point approach for the set mesh-solution-gradient limiting these effects.
Downloads
References
[ATT 99] ATTOUCH H., REDONT P., GOUDOU X. «The Heavy Ball with Friction Method »
Advances in ContempraryMathematics, 1999.
[ATT 96] ATTOUCH H., COMINETTI R. «A Dynamical Approach to Convex Minimization
Coupling Approximation with the SteepestDescentMethod» J. Differential Equations, 128
(2) pp. 519-540, 1996.
[BOR 96] BOROUCHAKI H., CASTRO-DIAZ M.J., GEORGE P.L., HECHT F. AND MOHAMMADI
B., «Anisotropic adaptive mesh generation in two dimensions for CFD» 5th Inter.
Conf. on Numerical Grid Generation in Computational Field Simulations, Mississipi State
Univ., 1996.
[BOR 96a] BOROUCHAKI H.,GEORGE P.L. AND MOHAMMADI B. «DelaunayMesh Generation
Governed by Metric Specifications. Part II : Applications» Finite Element in Analysis
and Design, special issue on mesh adaption, 1996.
[CAS 00] CASTRO-DIAZ M.J., HECHT F. AND MOHAMMADI B. «Anisotropic Grid Adaptation
for Inviscid and Viscous Flows Simulations» IJNMF, Vol. 25, 475-491, 2000.
[DON 82] DONEA J. «An ALE Finite Element Method for Transient Fluid-Structure Interactions
» Comp. Meth. App.Mech. Eng., num. 33, pp. 689-723, 1982.
[FRE 99] FREY P.J. ET GEORGE P.L., Maillages, Hermès, Paris, 1999.
[GEO 91] GEORGE P.L., Automatic mesh generation. Applications to finite element method,
Wiley, 1991.
[GEO 98] George P.L. and Borouchaki H., Delaunay triangulation and meshing, Hermès,
Paris, 1998.
[HAB 00] HABASHI W. ET AL. «A Step toward mesh-independent and User-Independent
CFD» Barriers and Challenges in CFD, pp. 99-117, Kluwer Ac. pub.
[HEC 97] HECHT F. AND MOHAMMADI B. «Mesh Adaptation by Metric Control for Multiscale
Phenomena and Turbulence» AIAA, paper 97-0859, 1997.
[NKO 94] NKONGA B. , GUILLARD H. «Godunov Type Method on Non-Structured Meshes
for Three Dimensional Moving Boundary-Problems» Comp. Methods in Applied Mech.
Eng. num. 113, pp:183-204, 1994.
[MED 99] MEDIC G. , MOHAMMADIB. , PETRUZZELLI N., STANCIU M. , HECHT F. «3D
Optimal Shape Design for Complex Flows : Application to turbomachinery» AIAA paper
-0833, 1999.
[MOH 94] MOHAMMADI B., CFD with NSC2KE : an User Guide, Technical report INRIA
No.164, 1994.
[MOH 97] MOHAMMADI B. «Practical Applications to Fluid Flows of Automatic Differentiation
for Design Problems» VKI lecture series, 1997-05.
[MOH 97b] MOHAMMADI B. «A New Optimal Shape Design Procedure for Inviscid and Viscous
Turbulent Flows» Int. J. for NumericalMeth. in Fluid, vol. 25, 183-203, 1997.
[MOH 99] MOHAMMADI B. «Flow Control and Shape Optimization in Aeroelastic Configurations
» AIAA paper 99-0182, 1999.
[MOH 99b] MOHAMMADI B. «Dynamical Approaches and Incomplete Gradients for Shape
Optimization and Flow Control» AIAA paper 99-3374, 1999.
[MOH 00] MOHAMMADI B. «Sensitivity Analysis for Design and Control in an Elastic CADFree
Framework for Multi-Model Configurations » Journal Europèene des Elements Finis,
special issue on fluid/structure interaction, 2000.
[MOPI 00] MOHAMMADI B. AND PIRONNEAU O., Applied Shape Design for Fluids, Oxford
Univ. Press, 2000.
