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Volumn 195, Issue 1, 2004, Pages 387-412

A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow

Author keywords

Euler equations; Karhunen Lo ve; Least squares; Optimal design; Pseudospectral method; Shock fitting

Indexed keywords

CONTROL NONLINEARITIES; LEAST SQUARES APPROXIMATIONS; LINEARIZATION; PROGRAM PROCESSORS; SUPERSONIC FLOW;

EID: 1542426295     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.08.030     Document Type: Article
Times cited : (13)

References (40)
  • 2
    • 1542561656 scopus 로고    scopus 로고
    • A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow
    • Ph.D. Dissertation, University of Notre Dame, Notre Dame, IN
    • G.P. Brooks, A Karhunen-Loève least-squares technique for optimization of geometry of a blunt body in supersonic flow, Ph.D. Dissertation, University of Notre Dame, Notre Dame, IN, 2003.
    • (2003)
    • Brooks, G.P.1
  • 3
    • 85189848750 scopus 로고    scopus 로고
    • A Karhunen-Loève Galerkin technique with shock-fitting for optimization of a blunt body geometry
    • AIAA Paper 2002-1861
    • G.P. Brooks, J.M. Powers, A Karhunen-Loève Galerkin technique with shock-fitting for optimization of a blunt body geometry, AIAA Paper 2002-1861, 2002.
    • (2002)
    • Brooks, G.P.1    Powers, J.M.2
  • 4
    • 85190568361 scopus 로고    scopus 로고
    • A pseudospectral approximation of a blunt body in supersonic flow
    • (in review)
    • G.P. Brooks, J.M. Powers, A pseudospectral approximation of a blunt body in supersonic flow, J. Comput. Phys., 2003 (in review).
    • (2003) J. Comput. Phys.
    • Brooks, G.P.1    Powers, J.M.2
  • 5
    • 0026224175 scopus 로고
    • Spectral Methods for the Euler equations: The blunt body problem revisited
    • D.A. Kopriva, T.A. Zang, M.Y. Hussaini, Spectral Methods for the Euler equations: The blunt body problem revisited, AIAA J. 29 (9) (1991) 1458-1462.
    • (1991) AIAA J. , vol.29 , Issue.9 , pp. 1458-1462
    • Kopriva, D.A.1    Zang, T.A.2    Hussaini, M.Y.3
  • 8
    • 0032755123 scopus 로고    scopus 로고
    • Framework for multidisciplinary design based on response-surface approximations
    • S.M. Batill, M.A. Stelmack, Framework for multidisciplinary design based on response-surface approximations, J. Aircraft 36 (1) (1999) 287-297.
    • (1999) J. Aircraft , vol.36 , Issue.1 , pp. 287-297
    • Batill, S.M.1    Stelmack, M.A.2
  • 9
    • 0032739993 scopus 로고    scopus 로고
    • Re-engineering the design process through computation
    • A. Jameson, Re-engineering the design process through computation, J. Aircraft 36 (1) (1999) 36-50.
    • (1999) J. Aircraft , vol.36 , Issue.1 , pp. 36-50
    • Jameson, A.1
  • 10
    • 0032781822 scopus 로고    scopus 로고
    • Aerodynamic shape optimization of supersonic aircraft configurations via an adjoint formulation on distributed memory parallel computers
    • J. Reuther, J.J. Alonso, M.J. Rimlinger, A. Jameson, Aerodynamic shape optimization of supersonic aircraft configurations via an adjoint formulation on distributed memory parallel computers, Comput. Fluids 28 (1999) 675-700.
    • (1999) Comput. Fluids , vol.28 , pp. 675-700
    • Reuther, J.1    Alonso, J.J.2    Rimlinger, M.J.3    Jameson, A.4
  • 11
    • 0032735198 scopus 로고    scopus 로고
    • Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers, Parts 1-2
    • J.J. Reuther, A. Jameson, J.J. Alonso, M.J. Rimlinger, D. Saunders, Constrained multipoint aerodynamic shape optimization using an adjoint formulation and parallel computers, Parts 1-2, J. Aircraft 36 (1) (1999) 51-74.
    • (1999) J. Aircraft , vol.36 , Issue.1 , pp. 51-74
    • Reuther, J.J.1    Jameson, A.2    Alonso, J.J.3    Rimlinger, M.J.4    Saunders, D.5
  • 13
    • 0032031194 scopus 로고    scopus 로고
    • An efficient method of solving the Navier-Stokes equations for flow control
    • H.M. Park, M.W. Lee, An efficient method of solving the Navier-Stokes equations for flow control, Int. J. Numer. Methods Engrg. 41 (1998) 1133-1151.
    • (1998) Int. J. Numer. Methods Engrg. , vol.41 , pp. 1133-1151
    • Park, H.M.1    Lee, M.W.2
  • 14
    • 0032002952 scopus 로고    scopus 로고
    • Model reduction for optimization of rapid thermal chemical deposition systems
    • A. Theodoropoulou, R.A. Adomaitis, E. Zafiriou, Model reduction for optimization of rapid thermal chemical deposition systems, IEEE Trans. Semicond. Manuf. 11 (1) (1998) 85-98.
    • (1998) IEEE Trans. Semicond. Manuf. , vol.11 , Issue.1 , pp. 85-98
    • Theodoropoulou, A.1    Adomaitis, R.A.2    Zafiriou, E.3
  • 15
    • 23544437012 scopus 로고    scopus 로고
    • Airfoil design optimization using reduced order models based on proper orthogonal decomposition
    • AIAA Paper 2000-2545
    • P.A. LeGresley, J.J. Alonso, Airfoil design optimization using reduced order models based on proper orthogonal decomposition, AIAA Paper 2000-2545, 2000.
    • (2000)
    • LeGresley, P.A.1    Alonso, J.J.2
  • 16
    • 0036497379 scopus 로고    scopus 로고
    • Numerical solution of optimal magnetic suppression of natural convection in magneto-hydrodynamic flows by empirical reduction of modes
    • H.M. Park, W.S. Jung, Numerical solution of optimal magnetic suppression of natural convection in magneto-hydrodynamic flows by empirical reduction of modes, Comput. Fluids 31 (2002) 309-334.
    • (2002) Comput. Fluids , vol.31 , pp. 309-334
    • Park, H.M.1    Jung, W.S.2
  • 18
    • 84972308308 scopus 로고
    • The dynamics of coherent structures in the wall region of a turbulent boundary layer
    • N. Aubry, P. Holmes, J.L. Lumley, E. Stone, The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech. 192 (1988) 115-173.
    • (1988) J. Fluid Mech. , vol.192 , pp. 115-173
    • Aubry, N.1    Holmes, P.2    Lumley, J.L.3    Stone, E.4
  • 19
    • 0001680724 scopus 로고
    • Turbulent thermal convection in a finite domain: Part I. Theory
    • L. Sirovich, H. Park, Turbulent thermal convection in a finite domain: Part I. Theory, Phys. Fluids A 2 (9) (1990) 1649-1658.
    • (1990) Phys. Fluids A , vol.2 , Issue.9 , pp. 1649-1658
    • Sirovich, L.1    Park, H.2
  • 20
    • 36549091839 scopus 로고
    • Turbulent thermal convection in a finite domain: Part II. Numerical results
    • H. Park, L. Sirovich, Turbulent thermal convection in a finite domain: Part II. Numerical results, Phys. Fluids A 2 (9) (1990) 1659-1668.
    • (1990) Phys. Fluids A , vol.2 , Issue.9 , pp. 1659-1668
    • Park, H.1    Sirovich, L.2
  • 21
    • 0026923223 scopus 로고
    • Accelerated disturbance damping of an unknown distributed system by nonlinear feedback
    • C.-C. Chen, H.-C. Chang, Accelerated disturbance damping of an unknown distributed system by nonlinear feedback, AIChE J. 38 (9) (1992) 1461-1476.
    • (1992) AIChE J. , vol.38 , Issue.9 , pp. 1461-1476
    • Chen, C.-C.1    Chang, H.-C.2
  • 22
    • 0029732249 scopus 로고    scopus 로고
    • The use of the Karhunen-Loève decomposition for the modeling of distributed parameter systems
    • H.M. Park, D.H. Cho, The use of the Karhunen-Loève decomposition for the modeling of distributed parameter systems, Chem. Engrg. Sci. 51 (1) (1996) 81-98.
    • (1996) Chem. Engrg. Sci. , vol.51 , Issue.1 , pp. 81-98
    • Park, H.M.1    Cho, D.H.2
  • 23
    • 0032557521 scopus 로고    scopus 로고
    • A method of solving inverse convection problems by means of mode reduction
    • H.M. Park, J.H. Lee, A method of solving inverse convection problems by means of mode reduction, Chem. Engrg. Sci. 53 (9) (1998) 1731-1744.
    • (1998) Chem. Engrg. Sci. , vol.53 , Issue.9 , pp. 1731-1744
    • Park, H.M.1    Lee, J.H.2
  • 24
    • 0034310563 scopus 로고    scopus 로고
    • Reduction of modes for the solution of inverse natural convection problems
    • H.M. Park, J.H. Lee, Reduction of modes for the solution of inverse natural convection problems, Comput. Methods Appl. Mech. Engrg. 190 (2000) 919-940.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 919-940
    • Park, H.M.1    Lee, J.H.2
  • 25
    • 0034340154 scopus 로고    scopus 로고
    • Solution of an inverse heat transfer problem by means of empirical reduction of modes
    • H.M. Park, J.H. Lee, Solution of an inverse heat transfer problem by means of empirical reduction of modes, Z. Ang. Math. Phys. 51 (2000) 17-38.
    • (2000) Z. Ang. Math. Phys. , vol.51 , pp. 17-38
    • Park, H.M.1    Lee, J.H.2
  • 26
    • 0035938237 scopus 로고    scopus 로고
    • Recursive solution of an inverse heat transfer problem in rapid thermal processing systems
    • H.M. Park, W.S. Jung, Recursive solution of an inverse heat transfer problem in rapid thermal processing systems, Int. J. Heat Mass Transfer 44 (2001) 2053-2065.
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 2053-2065
    • Park, H.M.1    Jung, W.S.2
  • 27
    • 0035216315 scopus 로고    scopus 로고
    • The Karhunen-Loève Galerkin method for the inverse natural convection problems
    • H.M. Park, W.S. Jung, The Karhunen-Loève Galerkin method for the inverse natural convection problems, Int. J. Heat Mass Transfer 44 (2001) 155-167.
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 155-167
    • Park, H.M.1    Jung, W.S.2
  • 28
    • 0035284559 scopus 로고    scopus 로고
    • Solution of inverse radiation problems using the Karhunen-Loève Galerkin procedure
    • H.M. Park, T.Y. Yoon, Solution of inverse radiation problems using the Karhunen-Loève Galerkin procedure, J. Quant. Spectrosc. Radiat. Transfer 68 (2001) 489-506.
    • (2001) J. Quant. Spectrosc. Radiat. Transfer , vol.68 , pp. 489-506
    • Park, H.M.1    Yoon, T.Y.2
  • 29
    • 0032031194 scopus 로고    scopus 로고
    • An efficient method of solving the Navier-Stokes equations for flow control
    • H.M. Park, M.W. Lee, An efficient method of solving the Navier-Stokes equations for flow control, Int. J. Numer. Methods Engrg. 41 (1998) 1133-1151.
    • (1998) Int. J. Numer. Methods Engrg. , vol.41 , pp. 1133-1151
    • Park, H.M.1    Lee, M.W.2
  • 30
    • 0034234008 scopus 로고    scopus 로고
    • Boundary control of the Navier-Stokes equation by empirical reduction of modes
    • H.M. Park, M.W. Lee, Boundary control of the Navier-Stokes equation by empirical reduction of modes, Comput. Methods Appl. Mech. Engrg. 188 (2000) 165-186.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 165-186
    • Park, H.M.1    Lee, M.W.2
  • 31
    • 0034099672 scopus 로고    scopus 로고
    • Control of Navier-Stokes equations by means of mode reduction
    • H.M. Park, M.W. Lee, Control of Navier-Stokes equations by means of mode reduction, Int. J. Numer. Methods Fluids 33 (2000) 535-557.
    • (2000) Int. J. Numer. Methods Fluids , vol.33 , pp. 535-557
    • Park, H.M.1    Lee, M.W.2
  • 32
    • 23544480853 scopus 로고    scopus 로고
    • Dynamic domain decomposition and error correction for reduced order models
    • AIAA Paper 2003-0250
    • P.A. LeGresley, J.J. Alonso, Dynamic domain decomposition and error correction for reduced order models, AIAA Paper 2003-0250, 2003.
    • (2003)
    • LeGresley, P.A.1    Alonso, J.J.2
  • 33
    • 0003756422 scopus 로고    scopus 로고
    • Reduced order modeling for high speed flows with moving shocks
    • Ph.D. Dissertation, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio
    • D.J. Lucia, Reduced order modeling for high speed flows with moving shocks, Ph.D. Dissertation, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio, 2001.
    • (2001)
    • Lucia, D.J.1
  • 34
    • 0003319339 scopus 로고
    • Zur spektraltheorie stochastischer prozesse
    • K. Karhunen, Zur spektraltheorie stochastischer prozesse, Ann. Acad. Sci. Fen. 34 (1946).
    • (1946) Ann. Acad. Sci. Fen. , vol.34
    • Karhunen, K.1
  • 38
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. Parts 1-3
    • L. Sirovich, Turbulence and the dynamics of coherent structures. Parts 1-3, Quart. Appl. Math. 45 (3) (1987) 561-590.
    • (1987) Quart. Appl. Math. , vol.45 , Issue.3 , pp. 561-590
    • Sirovich, L.1
  • 39
    • 0000274787 scopus 로고    scopus 로고
    • Analysis of unsteady supersonic viscous flows by a shock-fitting technique
    • F. Nasuti, M. Onofri, Analysis of unsteady supersonic viscous flows by a shock-fitting technique, AIAA J. 34 (7) (1996) 1428-1434.
    • (1996) AIAA J. , vol.34 , Issue.7 , pp. 1428-1434
    • Nasuti, F.1    Onofri, M.2
  • 40
    • 0000779621 scopus 로고
    • Computation of hyperbolic equations on complicated domains with patched and overset Chebyshev grids
    • D.A. Kopriva, Computation of hyperbolic equations on complicated domains with patched and overset Chebyshev grids, SIAM. J. Sci. Statist. Comput. 10 (1) (1989) 120-132.
    • (1989) SIAM. J. Sci. Statist. Comput. , vol.10 , Issue.1 , pp. 120-132
    • Kopriva, D.A.1


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