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Extending the range and applicability of the loose coupling approach for FSI simulations. (English) Zbl 1323.74091

Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005. Berlin: Springer (ISBN 3-540-34595-7/pbk). Lecture Notes in Computational Science and Engineering 53, 82-100 (2006).
Summary: Several algorithms for fluid-structure interaction are described. All of them are useful for the loose coupling of fluid and structural dynamics codes. The first class of algorithms considers the loose coupling of implicit time-marching codes. Of these, a predictor-corrector algorithm that may be interpreted as a Jacobi iteration with block-diagonal terms was found to be a good compromise of simplicity, generality and speed. The second class of algorithms treats the displacement of the surface of the structure that is in contact with the fluid. It is shown that a straightforward treatment of the displacements for arbitrary choice of timesteps can lead to instabilities. For optimal stability, at each timestep the ending time of the fluid should be just beyond the ending time of the structure. The third class of algorithms treats the movement of the flow mesh in an ALE setting. The use of a projective prediction of mesh velocities, as well as linelet preconditioning for the resulting PCG system can reduce significantly the effort required. Examples are included that show the effectiveness of the proposed procedures.
For the entire collection see [Zbl 1097.76002].

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76M20 Finite difference methods applied to problems in fluid mechanics
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[1] J.D. Baum, H. Luo, R. Löhner, C. Yang, D. Pelessone and C. Charman: A Coupled Fluid/Structure Modeling of Shock Interaction with a Truck. \(AIAA\)- 96-0795 (1996). · Zbl 0875.73165
[2] J.D. Baum, H. Luo, E. Mestreau, R. Löhner, D. Pelessone and C. Charman: A Coupled CFD/CSD Methodology for Modeling Weapon Detonation and Fragmentation. \(AIAA\)-99-0794 (1999). · Zbl 1140.76439
[3] E. Brakkee, K. Wolf, D.P. Ho and A. Schüller: The COupled COmmunications LIBrary. pp. 155-162 in \(Proc. Fifth Euromicro Workshop on Parallel and Distributed Processing\), London, UK, January 22-24, 1997, IEEE Computer Society Press, Lo Alamitos, Ca. (1997).
[4] J.R. Cebral and R. Löhner: Conservative Load Projection and Tracking for Fluid-Structure Problems. \(AIAA J.\)35(4) (1997) 687-692. · Zbl 0895.73077
[5] J.R. Cebral and R. Löhner: Fluid-Structure Coupling: Extensions and Improvements. \(AIAA\)-97-0858 (1997).
[6] COCOLIB Deliverable 1.1: Specification of the COupling COmmunications LIBrary. CISPAR ESPRIT Project 20161, See http://​www.​pallas.​de/​cispar/​ pages/docu.htm (1997).
[7] For CFD: Fluent, Star-CD, CFX, Pam-Flow, Cart3d, Arc3d, CFL3D, etc.; for CFD: NASTRAN, ANSYS, ABAQUS, Pam-Solid, Cosmic-NASTRAN, etc.
[8] P.F. Fischer: Projection Techniques for Iterative Solution of Ax=b With Successive Right-Hand Sides. \(Comp. Meth. Appl. Mech. Eng.\)163 (1998) 193-204. · Zbl 0960.76063
[9] GRISSLi: Numerical Simulation of Coupled Problems on Parallel Computers; BMBF-Project, Contract No. 01 IS 512 A-C/GRISSLi, Germany, See http://​www.​gmd.​de/​SCAI/​scicomp/​grissli/​ (1998).
[10] B. Hübner, E. Walhorn and D. Dinkler: Numerical Investigations to Bridge Aeroelasticity. In \(Proc. 5th World Cong. Comp. Mech.\) (H.A. Mang, F.G. Rammerstorfer and J. Eberhardsteiner eds.) Vienna (2002). (see also: http://​wccm.​tuwien.​ac.​at/​publications/​Papers/​fp81407.​pdf)
[11] B. Hübner, E. Walhorn and D. Dinkler: A Monolithic Approach to Fluid- Structure Interaction Using Space-time Finite Elements. \(Comp. Meth. Appl. Mech. Eng.\)193 (2004) 2087-2104. · Zbl 1067.74575
[12] G.P. Guruswamy and C. Byun: Fluid-Structural Interactions Using Navier- Stokes Flow Equations Coupled with Shell Finite Element Structures. \(AIAA\)- 93-3087 (1993).
[13] M. Lesoinne and Ch. Farhat: Geometric Conservation Laws for Flow Problems With Moving Boundaries and Deformable Meshes, and Their Impact on Aeroelastic Computations. \(Comp. Meth. Appl. Mech. Eng.\)134 (1996) 71-90. · Zbl 0896.76044
[14] R. Löhner: Three-Dimensional Fluid-Structure Interaction Using a Finite Element Solver and Adaptive Remeshing. \(Computing Systems in Engineering\)1(2-4) (1990) 257-272.
[15] R. Löhner, C. Yang, J. Cebral, J.D. Baum, H. Luo, D. Pelessone and C. Charman: Fluid-Structure Interaction Using a Loose Coupling Algorithm and Adaptive Unstructured Grids; \(AIAA\)-95-2259 [Invited] (1995). · Zbl 0875.73165
[16] R. Löhner and Chi Yang: Improved ALE Mesh Velocities for Moving Bodies. \(Comm. Num. Meth. Eng.\)12 (1996) 599-608. · Zbl 0858.76042
[17] R. Löhner, C. Yang, J. Cebral, J.D. Baum, H. Luo, D. Pelessone and C. Charman: Fluid-Structure-Thermal Interaction Using a Loose Coupling Algorithm and Adaptive Unstructured Grids. \(AIAA\)-98-2419 [Invited] (1998). · Zbl 0875.73165
[18] R. Löhner, C. Yang, J.D. Baum, H. Luo, D. Pelessone and C. Charman: The Numerical Simulation of Strongly Unsteady Flows With Hundreds of Moving Bodies. \(Int. J. Num. Meth. Fluids\)31 (1999) 113-120. · Zbl 0986.76043
[19] R. Löhner: \(Applied CFD Techniques\); J. Wiley & Sons (2001).
[20] R. Löhner, J.D. Baum, E.L. Mestreau, D. Sharov, Ch. Charman and D. Pelessone: Adaptive Embedded Unstructured Grid Methods; \(AIAA\)-03-1116 (2003). · Zbl 1060.76574
[21] R. Löhner, J. Cebral, C. Yang, J.D. Baum, E. Mestreau, C. Charman and D. Pelessone: Large-Scale Fluid-Structure Interaction Simulations. \(Computing in Science and Engineering (CiSE)\) May/June’04, (2004) 27-37.
[22] R. Löhner: Multistage Explicit Advective Prediction for Projection-Type Incompressible Flow Solvers. \(J. Comp. Phys.\)195 (2004) 143-152. · Zbl 1087.76067
[23] N. Maman and C. Farhat: Matching Fluid and Structure Meshes for Aeroelastic Computations: A Parallel Approach. \(Computers and Structures\)54(4) (1995) 779-785.
[24] E. Nielsen and W. Anderson: Recent Improvements in Aerodynamic Design and Optimization on Unstructured Meshes. \(AIAA\)-01-0596 (2001).
[25] O. Soto, R. Löhner and F. Camelli: A Linelet Preconditioner for Incompressible Flows. \(Int. J. Num. Meth. Heat and Fluid Flow\)13(1) (2003) 133-147. · Zbl 1059.76037
[26] O. Soto, R. Löhner and C. Yang: An Adjoint-Based Design Methodology for CFD Problems; \(Int. J. Num. Meth. Heat and Fluid Flow\)14 (2004) 734-759. · Zbl 1078.76057
[27] E.A. Thornton and P. Dechaumphai: Coupled Flow, Thermal and Structural Analysis of Aerodynamically Heated Panels. \(J. Aircraft\)25(11) (1988) 1052-1059.
[28] E. Walhorn, B. Hübner, A. Kölke and D. Dinkler: Fluid-Structure Coupling Within a Monolithic Model Involving Free Surface Flows. \(Proc. 2nd M.I.T. Conf. Comp. Fluid and Solid Mech.\) (K.J. Bathe ed.), Elsevier Science (2003).
[29] O.C. Zienkiewicz: \(The Finite Element Method\); McGraw Hill (1991).
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