메뉴 건너뛰기




Volumn 222, Issue 2, 2008, Pages 487-499

Shape-topology optimization for Navier-Stokes problem using variational level set method

Author keywords

Navier Stokes problem; Sensitivity analysis; Shape topology optimization; Variational level set method

Indexed keywords

BOOLEAN FUNCTIONS; DROP BREAKUP; IMAGE SEGMENTATION; LEVEL MEASUREMENT; NAVIER STOKES EQUATIONS; OPTIMIZATION; STRUCTURAL OPTIMIZATION; TOPOLOGY;

EID: 53449094897     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.11.016     Document Type: Article
Times cited : (79)

References (52)
  • 1
    • 0037246341 scopus 로고    scopus 로고
    • The immersed interface/multigrid methods for interface problems
    • Adams L., and Li Z.L. The immersed interface/multigrid methods for interface problems. SIAM J. Sci. Comput. 24 2 (2002) 463-479
    • (2002) SIAM J. Sci. Comput. , vol.24 , Issue.2 , pp. 463-479
    • Adams, L.1    Li, Z.L.2
  • 2
    • 33747892396 scopus 로고    scopus 로고
    • A mathematical approach in the design of arterial bypass using unsteady Stokes equations
    • Agoshkov V., Quarteroni A., and Rozza G. A mathematical approach in the design of arterial bypass using unsteady Stokes equations. J. Sci. Comput. 28 2-3 (2006) 139-161
    • (2006) J. Sci. Comput. , vol.28 , Issue.2-3 , pp. 139-161
    • Agoshkov, V.1    Quarteroni, A.2    Rozza, G.3
  • 3
    • 33847614438 scopus 로고    scopus 로고
    • Shape design in aorto-coronaric bypass anastomoses using perturbation theory
    • Agoshkov V., Quarteroni A., and Rozza G. Shape design in aorto-coronaric bypass anastomoses using perturbation theory. SIAM J. Numer. Anal. 44 1 (2006) 367-384
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.1 , pp. 367-384
    • Agoshkov, V.1    Quarteroni, A.2    Rozza, G.3
  • 4
    • 0038053170 scopus 로고    scopus 로고
    • G. Allaire, F. Jouve, A.M. Toader, A level-set method for shape optimization, C. R. Acad. Sci. Paris, Ser. I, 334, 1125-1130
    • G. Allaire, F. Jouve, A.M. Toader, A level-set method for shape optimization, C. R. Acad. Sci. Paris, Ser. I, 334, 1125-1130
  • 5
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • Allair G., Jouve F., and Toader A.M. Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194 (2004) 363-393
    • (2004) J. Comput. Phys. , vol.194 , pp. 363-393
    • Allair, G.1    Jouve, F.2    Toader, A.M.3
  • 6
    • 53449090482 scopus 로고    scopus 로고
    • J.J. Alonso, I.M. Kroo, A. Jameson, Advanced algorithms for design and optimization of QSP, AIAA, 2002-0144
    • J.J. Alonso, I.M. Kroo, A. Jameson, Advanced algorithms for design and optimization of QSP, AIAA, 2002-0144
  • 7
    • 33646921203 scopus 로고    scopus 로고
    • A new algorithm for topology optimization using a level-set method
    • Amstutz S., and Andrä H. A new algorithm for topology optimization using a level-set method. J. Comput. Phys. 216 2 (2006) 573-588
    • (2006) J. Comput. Phys. , vol.216 , Issue.2 , pp. 573-588
    • Amstutz, S.1    Andrä, H.2
  • 11
    • 0037428358 scopus 로고    scopus 로고
    • Topology optimization of fluid in Stokes flow
    • Borrvall T., and Petersson J. Topology optimization of fluid in Stokes flow. Int. J. Numer. Meth. Fl. 41 (2003) 77-107
    • (2003) Int. J. Numer. Meth. Fl. , vol.41 , pp. 77-107
    • Borrvall, T.1    Petersson, J.2
  • 12
    • 0035248865 scopus 로고    scopus 로고
    • Active contours without edges
    • Chan T., and Vese L. Active contours without edges. IEEE T. Image. Process 10 (2001) 266-277
    • (2001) IEEE T. Image. Process , vol.10 , pp. 266-277
    • Chan, T.1    Vese, L.2
  • 13
    • 34248369816 scopus 로고    scopus 로고
    • Nested and self-adaptive Bezier parameterizations for shape optimization
    • Desideri J.A., El Majd B.A., and Janka A. Nested and self-adaptive Bezier parameterizations for shape optimization. J. Comput. Phys. 224 1 (2007) 117-131
    • (2007) J. Comput. Phys. , vol.224 , Issue.1 , pp. 117-131
    • Desideri, J.A.1    El Majd, B.A.2    Janka, A.3
  • 14
    • 25844480247 scopus 로고    scopus 로고
    • Inverse shape optimization problems and application to airfoils
    • Desideri J.A., and Zolesio J.P. Inverse shape optimization problems and application to airfoils. Control. Cybern. 34 1 (2005) 165-202
    • (2005) Control. Cybern. , vol.34 , Issue.1 , pp. 165-202
    • Desideri, J.A.1    Zolesio, J.P.2
  • 15
    • 53449094842 scopus 로고    scopus 로고
    • Q. Du, M. Gunzburger, J. Lee, Optimization-based methods for multidisciplinary simulation and optimization, in: Proc. 8th Annual Conference of the CFD Society of Canada, CERCA, Montreal, 2000, pp. 689-694
    • Q. Du, M. Gunzburger, J. Lee, Optimization-based methods for multidisciplinary simulation and optimization, in: Proc. 8th Annual Conference of the CFD Society of Canada, CERCA, Montreal, 2000, pp. 689-694
  • 16
    • 33750480224 scopus 로고    scopus 로고
    • Shape sensitivity analysis for a Robin problem via minimax differentiability
    • Gao Z.M., and Ma Y.C. Shape sensitivity analysis for a Robin problem via minimax differentiability. Appl. Math. Comput. 181 2 (2006) 1090-1105
    • (2006) Appl. Math. Comput. , vol.181 , Issue.2 , pp. 1090-1105
    • Gao, Z.M.1    Ma, Y.C.2
  • 19
    • 33751084830 scopus 로고    scopus 로고
    • Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems
    • Glowinski R., and Kuznetsov Y. Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. Comput. Method Appl. M. 196 8 (2007) 1498-1506
    • (2007) Comput. Method Appl. M. , vol.196 , Issue.8 , pp. 1498-1506
    • Glowinski, R.1    Kuznetsov, Y.2
  • 20
    • 0032857504 scopus 로고    scopus 로고
    • A distributed lagrange multiplier/fictitious domain method for particulate flows
    • Glowinski R., Pan T.W., Hesla T.I., and Joseph D.D. A distributed lagrange multiplier/fictitious domain method for particulate flows. Int. J. Mutiphase Flow 25 5 (1999) 755-794
    • (1999) Int. J. Mutiphase Flow , vol.25 , Issue.5 , pp. 755-794
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4
  • 21
    • 0034646896 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow
    • Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., and Periaux J. A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow. Comput. Method Appl. M. 184 2-4 (2000) 241-267
    • (2000) Comput. Method Appl. M. , vol.184 , Issue.2-4 , pp. 241-267
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 22
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow
    • Glowinski R., Pan T.W., Hesla T.I., Joseph D.D., and Periaux 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 2 (2001) 363-426
    • (2001) J. Comput. Phys. , vol.169 , Issue.2 , pp. 363-426
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 23
    • 33745425806 scopus 로고    scopus 로고
    • Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach
    • Glowinski R., Pan T.W., and Periaux J. Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach. Comput. Method Appl. M. 195 41-43 (2006) 5566-5581
    • (2006) Comput. Method Appl. M. , vol.195 , Issue.41-43 , pp. 5566-5581
    • Glowinski, R.1    Pan, T.W.2    Periaux, J.3
  • 24
    • 0028333573 scopus 로고
    • A fictitious domain method for Dirichlet problem and applications
    • Glowinski R., Pan T.W., and Periaux J. A fictitious domain method for Dirichlet problem and applications. Comput. Method Appl. M. 111 3 (1994) 283-303
    • (1994) Comput. Method Appl. M. , vol.111 , Issue.3 , pp. 283-303
    • Glowinski, R.1    Pan, T.W.2    Periaux, J.3
  • 25
    • 33645934529 scopus 로고    scopus 로고
    • Topology optimization of creeping fluid flows using a Darcy-Stokes finite element
    • Guest J.K., and Prevost J.H. Topology optimization of creeping fluid flows using a Darcy-Stokes finite element. Int. J. Numer. Meth. Eng. 66 (2006) 461-484
    • (2006) Int. J. Numer. Meth. Eng. , vol.66 , pp. 461-484
    • Guest, J.K.1    Prevost, J.H.2
  • 26
    • 0032072598 scopus 로고    scopus 로고
    • Existence of an optimal solution of a shape control problem for the stationary Navier-Stokes equations
    • Gunzburger M., and Kim H. Existence of an optimal solution of a shape control problem for the stationary Navier-Stokes equations. SIAM J. Control. Optim. 36 3 (1998) 895-909
    • (1998) SIAM J. Control. Optim. , vol.36 , Issue.3 , pp. 895-909
    • Gunzburger, M.1    Kim, H.2
  • 27
    • 34248188040 scopus 로고    scopus 로고
    • Analysis of an optimal control problem for the three-dimensional coupled modified Navier-Stokes and Maxwell equations
    • Gunzburger M., and Trenchea C. Analysis of an optimal control problem for the three-dimensional coupled modified Navier-Stokes and Maxwell equations. J. Math. Anal. Appl. 333 1 (2007) 295-310
    • (2007) J. Math. Anal. Appl. , vol.333 , Issue.1 , pp. 295-310
    • Gunzburger, M.1    Trenchea, C.2
  • 29
    • 53449083288 scopus 로고    scopus 로고
    • J. Haslinger, Comparison of different fictitious domain approaches used in shape optimization, Technical Report 15, University of Jyväskylä, Department of Mathematics, 1996
    • J. Haslinger, Comparison of different fictitious domain approaches used in shape optimization, Technical Report 15, University of Jyväskylä, Department of Mathematics, 1996
  • 30
    • 0242499510 scopus 로고    scopus 로고
    • Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
    • Haslinger J., Kozubek T., Kunisch K., and Peichl G. Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type. Comput. Optim. Appl. 26 (2003) 231-251
    • (2003) Comput. Optim. Appl. , vol.26 , pp. 231-251
    • Haslinger, J.1    Kozubek, T.2    Kunisch, K.3    Peichl, G.4
  • 31
    • 84897694838 scopus 로고    scopus 로고
    • A. Jameson, Aerodynamic design and optimization, in: 16th AIAA Comput. Fluid Dynamics Conf., AIAA Pap. A-2003-3438, Orlando, FL, June, 2003, pp. 23-26
    • A. Jameson, Aerodynamic design and optimization, in: 16th AIAA Comput. Fluid Dynamics Conf., AIAA Pap. A-2003-3438, Orlando, FL, June, 2003, pp. 23-26
  • 33
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for Stokes flow with elastic boundaries or surface tension
    • Leveque R.J., and Li Z.L. Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput. 18 3 (1997) 709-735
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.3 , pp. 709-735
    • Leveque, R.J.1    Li, Z.L.2
  • 34
    • 53449098263 scopus 로고    scopus 로고
    • C.M. Li, C.Y. Xu, C.F. Gui, M.D. Fox, Level set evolution without re-initialization: A new variational formulation, CVPR' 05
    • C.M. Li, C.Y. Xu, C.F. Gui, M.D. Fox, Level set evolution without re-initialization: A new variational formulation, CVPR' 05
  • 35
    • 0031532284 scopus 로고    scopus 로고
    • Immersed interface methods for moving interface problems
    • Li Z.L. Immersed interface methods for moving interface problems. Numer. algorithms 14 4 (1997) 269-293
    • (1997) Numer. algorithms , vol.14 , Issue.4 , pp. 269-293
    • Li, Z.L.1
  • 38
    • 0000653948 scopus 로고    scopus 로고
    • Level-set methods for optimization problems involving geometry and constraints: Frequencies of a two-density inhomogeneous drum
    • Osher S., and Santosa F. Level-set methods for optimization problems involving geometry and constraints: Frequencies of a two-density inhomogeneous drum. J. Comput. Phys. 171 (2001) 272-288
    • (2001) J. Comput. Phys. , vol.171 , pp. 272-288
    • Osher, S.1    Santosa, F.2
  • 39
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79 (1988) 12-49
    • (1988) J. Comput. Phys. , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 41
    • 0442291609 scopus 로고    scopus 로고
    • Optimal control and shape optimization of aorto-coronaric bypass anastomoses
    • Quarteroni A., and Rozza G. Optimal control and shape optimization of aorto-coronaric bypass anastomoses. Math. Mod. Meth. Appl. S. 13 12 (2003) 1801-1823
    • (2003) Math. Mod. Meth. Appl. S. , vol.13 , Issue.12 , pp. 1801-1823
    • Quarteroni, A.1    Rozza, G.2
  • 42
    • 0003331863 scopus 로고    scopus 로고
    • Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation
    • Reuther J., Jameson A., Farmer J., Martinelli L., and Saunders D. Aerodynamic shape optimization of complex aircraft configurations via an adjoint formulation. AIAA 96 (1996) 94
    • (1996) AIAA , vol.96 , pp. 94
    • Reuther, J.1    Jameson, A.2    Farmer, J.3    Martinelli, L.4    Saunders, D.5
  • 44
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • Sethian J.A., and Wiegmann A. Structural boundary design via level set and immersed interface methods. J. Comput. Phys. 163 2 (2000) 489-528
    • (2000) J. Comput. Phys. , vol.163 , Issue.2 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 45
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C.W., and Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77 2 (1988) 439-471
    • (1988) J. Comput. Phys. , vol.77 , Issue.2 , pp. 439-471
    • Shu, C.W.1    Osher, S.2
  • 48
    • 8344270354 scopus 로고    scopus 로고
    • PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization
    • Wang M.Y., and Wang X. PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization. CMES-Comp. Model. Eng. 6 4 (2004) 373-395
    • (2004) CMES-Comp. Model. Eng. , vol.6 , Issue.4 , pp. 373-395
    • Wang, M.Y.1    Wang, X.2
  • 49
    • 0037414968 scopus 로고    scopus 로고
    • A level set method for structural topology optimization
    • Wang M.Y., Wang X.M., and Guo D.M. A level set method for structural topology optimization. Comput. Method Appl. M. 192 (2003) 227-246
    • (2003) Comput. Method Appl. M. , vol.192 , pp. 227-246
    • Wang, M.Y.1    Wang, X.M.2    Guo, D.M.3
  • 50
    • 33750486182 scopus 로고    scopus 로고
    • The application of domain derivative for heat conduction with mixed condition in shape reconstruction
    • Yan W.J., and Ma Y.C. The application of domain derivative for heat conduction with mixed condition in shape reconstruction. Appl. Math. Comput. 181 2 (2006) 894-902
    • (2006) Appl. Math. Comput. , vol.181 , Issue.2 , pp. 894-902
    • Yan, W.J.1    Ma, Y.C.2
  • 51
    • 0030210970 scopus 로고    scopus 로고
    • A variational level set approach to multiphase motion
    • Zhao H.K., Chan T., Merriman B., and Osher S. A variational level set approach to multiphase motion. J. Comput. Phys. 127 (1996) 179-195
    • (1996) J. Comput. Phys. , vol.127 , pp. 179-195
    • Zhao, H.K.1    Chan, T.2    Merriman, B.3    Osher, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.