Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 41-43, 2006, Pages 5566-5581

  Glowinski, Roland ^a,b   Pan, Tsorng Whay ^a   Périaux, Jacques ^c,d  

^a University of Houston   (United States)

^b SORBONNE UNIVERSITÉ   (France)

^c INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^d DASSAULT AVIATION   (France)

Author keywords

Distributed Lagrange multipliers; Fictitious domain method; Finite element methods; Operator splitting methods; Store separation

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; NEWTONIAN FLOW; VISCOUS FLOW;

DISTRIBUTED LAGRANGE MULTIPLIERS; FICTITIOUS DOMAIN METHOD; OPERATOR-SPLITTING METHODS; STORE SEPARATION;

COMPUTER SIMULATION;

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; NEWTONIAN FLOW; VISCOUS FLOW;

EID: 33745425806     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.09.018     Document Type: Article

References (31)

1. Bristeau M.O., Glowinski R., Periaux J., Perrier P., and Pironneau O. On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. (I) Least square formulations and conjugate gradient solution of the continuous problems. Comput. Methods Appl. Mech. Engrg. 17/18 (1979) 619-657
2. Argyris J.H., and Dunne P.C. The finite element method applied to fluid mechanics. In: Hewitt B.L., Illingworth C.R., Lock R.C., Mangler K.W., McDonnell J.H., Richards C., and Walkden F. (Eds). Computational Methods and Problems in Aeronautical Fluid Mechanics (1976), Academic Press, London 158-197
3. Hu H.H. Direct simulation of flows of solid-liquid mixtures. Int. J. Multiphase Flow 22 (1996) 335-352
4. Johnson A., and Tezduyar T. 3-D simulation of fluid-rigid body interactions with the number of rigid bodies reaching 100. Comput. Methods Appl. Mech. Engrg. 145 (1997) 301-321
5. Maury B., and Glowinski R. Fluid-particle flow: a symmetric formulation. C.R. Acad. Sci. Paris, Série 1 324 (1997) 1079-1084
6. Glowinski R., Pan T.-W., Hesla T., and Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: application to particulate flows. Int. J. Multiphase Flow 25 (1999) 755-794
7. Glowinski R., Pan T.-W., Hesla T., Joseph D.D., and Périaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169 (2001) 363-426
8. Dong S., Liu D., Maxey M., and Karniadakis G.E. Spectral distributed multiplier (DLM) method: algorithm and benchmark test. J. Comput. Phys. 195 (2004) 695-717
9. Glowinski R., Hesla T., Joseph D.D., Pan T.-W., and Périaux J. Distributed Lagrange multiplier methods for particulate flows. In: Bristeau M.O., Etgen G., Fitzgibbon W., Lions J.-L., Périaux J., and Wheeler M.F. (Eds). Computational Science for the 21st Century (1997), J. Wiley, Chichester
10. Glowinski R., Pan T.-W., Hesla T., Joseph D.D., and Périaux J. A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow. In: Mandel J., Farhat C., and Cai X.C. (Eds). Domain Decomposition Methods 10 (1998), American Mathematical Society, Providence
11. Glowinski R., Pan T.-W., Hesla T., Joseph D.D., and Périaux J. A distributed Lagrange multiplier/fictitious domain method for flow around moving rigid bodies: application to particulate flow. Int. J. Numer. Methods Fluids 30 (1999) 1043-1066
12. Baaijens F.P.T. A fictitious domain/mortar element method for fluid-structure interaction. Int. J. Numer. Methods Fluids 35 (2001) 743-761
13. Wagner G.J., Moes N., Liu W.K., and Belytschko T. The extended finite element method for rigid particles in Stokes flow. Int. J. Numer. Methods Engrg. 51 (2001) 293-313
14. Yu Z., Phan-Thien N., Fan Y., and Tanner R.I. Viscoelastic mobility problem of a system of particles. J. Non-Newtonian Fluid Mech. 104 (2002) 87-124
15. Maury B. A many-body lubrication model. C.R. Acad. Sci. Paris, Série 1 325 (1997) 1053-1058
16. Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220-252
17. Peskin C.S., and McQueen D.M. Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. J. Comput. Phys. 37 (1980) 113-132
18. Peskin C.S. Lectures on mathematical aspects of physiology. Lect. Appl. Math. 19 (1981) 69-107
19. Glowinski R. Finite element methods for the numerical simulation of unsteady incompressible viscous flow modeled by the Navier-Stokes equations. In: Ciarlet P.G., and Lions J.-L. (Eds). Handbook of Numerical Analysis vol. IX (2003), North-Holland, Amsterdam
20. Chorin A.J., Hughes T.J.R., Marsden J.E., and McCracken M. Product formulas and numerical algorithms. Comm. Pure Appl. Math. 31 (1978) 205-256
21. Bertrand T., Tanguy P.A., and Thibault F. A three-dimensional fictitious domain method for incompressible fluid flow problems. Int. J. Numer. Methods Fluids 25 (1997) 719-736
22. Glowinski R., Pan T.-W., and Périaux J. Distributed Lagrange multiplier methods for incompressible flow around moving rigid bodies. Comput. Methods Appl. Mech. Engrg. 151 (1998) 181-194
23. J. Adams, P. Swarztrauber, R. Sweet, FISHPAK: a package of Fortran subprograms for the solution of separable elliptic partial differential equations, The National Center for Atmospheric Research, Boulder, CO, 1980.
24. Dean E.J., and Glowinski R. A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. C.R. Acad. Sci. Paris, Série 1 325 (1997) 783-791
25. Dean E.J., Glowinski R., and Pan T.-W. A wave equation approach to the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. In: De Santo J.A. (Ed). Mathematical and Numerical Aspects of Wave Propagation (1998), SIAM, Philadelphia
26. E. Rimon, S. Boyd, Efficient distance computation using best ellipsoid fit, in: The IEEE International Symposium on Intelligent Control, Glasgow, UK, IEEE, 1992.
27. Chou J.C.K. Quaternion kinematic and dynamic differential equations. IEEE Trans. Robot. Automat. 8 (1992) 53-64
28. Glowinski R., Pan T.-W., and Périaux J. A fictitious domain method for Dirichlet problem and applications. Comput. Methods Appl. Mech. Engrg. 111 (1994) 283-303
29. Glowinski R., Pan T.-W., and Périaux J. A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 112 (1994) 133-148
30. Sigurgeirson H., Stuart A.M., and Wan J. Collision detection for particles in flow. J. Comput. Phys. 172 (2001) 766-807
31. Dance S.L., Climent E., and Maxey M.R. Collision barrier effects on the bulk flow in a random suspension. Phys. Fluids 16 (2004) 828-831