메뉴 건너뛰기




Volumn 257, Issue 1 B, 2002, Pages 1401-1406

Model reduction by proper orthogonal decomposition coupled with centroidal voronoi tessellations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; DATA COMPRESSION; EIGENVALUES AND EIGENFUNCTIONS; FLOW CONTROL; GALERKIN METHODS; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; UNSTEADY FLOW;

EID: 0036437606     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (25)

References (31)
  • 1
    • 0001108405 scopus 로고
    • Preserving symmetries in the proper orthogonal decomposition
    • Aubry, N., W. Lian, W., and E. Titi, Preserving symmetries in the proper orthogonal decomposition, SIAM J. Sci. Comp., 14, (1993), 483-505.
    • (1993) SIAM J. Sci. Comp. , vol.14 , pp. 483-505
    • Aubry, N.1    Lian, W.W.2    Titi, E.3
  • 2
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • Berkooz, G., P. Holmes, and J. Lumley, The proper orthogonal decomposition in the analysis of turbulent flows, Ann. Rev. Fluid. Mech., 25 (1993), 539-575.
    • (1993) Ann. Rev. Fluid. Mech. , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.3
  • 3
    • 0009632228 scopus 로고
    • Galerkin projections and the proper orthogonal decomposition for equivariant equations
    • Berkooz, G., and E. Titi, Galerkin projections and the proper orthogonal decomposition for equivariant equations, Physics Letters A, 174 (1993), 94-102.
    • (1993) Physics Letters A , vol.174 , pp. 94-102
    • Berkooz, G.1    Titi, E.2
  • 4
    • 0033295675 scopus 로고    scopus 로고
    • Evaluation of proper orthogonal decomposition-based decomposition techniques applied to parameter-dependent nonturbulent flows
    • Christensen, E., M. Brons, and J. Sorensen, Evaluation of proper orthogonal decomposition-based decomposition techniques applied to parameter-dependent nonturbulent flows, SIAM J. Sci. Comp., 21 (2000), 1419-1434.
    • (2000) SIAM J. Sci. Comp. , vol.21 , pp. 1419-1434
    • Christensen, E.1    Brons, M.2    Sorensen, J.3
  • 5
    • 0026067446 scopus 로고
    • Low-dimensional models for complex geometry flows: Applications to grooved channels and circular cylinders
    • Deane, A., I. Kevrekidis, G. Karniadakis, and S. Orszag, Low-dimensional models for complex geometry flows: applications to grooved channels and circular cylinders, Phys. Fluids A, 3 (1991), 2337-2354.
    • (1991) Phys. Fluids A , vol.3 , pp. 2337-2354
    • Deane, A.1    Kevrekidis, I.2    Karniadakis, G.3    Orszag, S.4
  • 6
    • 0030131207 scopus 로고    scopus 로고
    • Pattern analysis and model reduction: Some alternative approaches to the Karhunen-Lóeve decomposition
    • Graham, M., and I. Kevrekidis, Pattern analysis and model reduction: Some alternative approaches to the Karhunen-Lóeve decomposition, Comp. Chem. Engng., 20 (1996), 495-506.
    • (1996) Comp. Chem. Engng. , vol.20 , pp. 495-506
    • Graham, M.1    Kevrekidis, I.2
  • 7
    • 0003851376 scopus 로고    scopus 로고
    • Turbulence, coherent structures, dynamical systems and symmetry
    • Cambridge University Press, Cambridge
    • Holmes, P., J. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press, Cambridge, (1996).
    • (1996)
    • Holmes, P.1    Lumley, J.2    Berkooz, G.3
  • 9
    • 0003621681 scopus 로고
    • Stochastic tools in turbulence
    • Academic, New York
    • Lumley, J., Stochastic Tools in Turbulence, Academic, New York, (1971).
    • (1971)
    • Lumley, J.1
  • 10
    • 0030297465 scopus 로고    scopus 로고
    • Low dimensional modeling of flow reactors
    • Park, H., and D. Cho, Low dimensional modeling of flow reactors, Int. J. Heat Mass Transf., 39 (1996), 3311-3323.
    • (1996) Int. J. Heat Mass Transf. , vol.39 , pp. 3311-3323
    • Park, H.1    Cho, D.2
  • 11
    • 0002367721 scopus 로고
    • Low-dimensional dynamics for the complex Ginzburg-Landau equations
    • Rodríguez, J., and L. Sirovich, Low-dimensional dynamics for the complex Ginzburg-Landau equations, Physica D, 43 (1990), 77-86.
    • (1990) Physica D , vol.43 , pp. 77-86
    • Rodríguez, J.1    Sirovich, L.2
  • 12
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures, I-III
    • Sirovich, L., Turbulence and the dynamics of coherent structures, I-III, Quart. Appl. Math., 45 (1987), 561-590.
    • (1987) Quart. Appl. Math. , vol.45 , pp. 561-590
    • Sirovich, L.1
  • 13
    • 0031215981 scopus 로고    scopus 로고
    • Symmetry and the Karhunen-Loève analysis
    • Smaoui, N., and D. Armbruster, Symmetry and the Karhunen-Loève analysis, SIAM J. Sci. Comput., 18 (1997), 1526-1532.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1526-1532
    • Smaoui, N.1    Armbruster, D.2
  • 15
    • 0003709161 scopus 로고    scopus 로고
    • Trust-region proper orthogonal decomposition for flow control
    • to appear
    • Arian, E., M. Fahl, and E. Sachs, Trust-region proper orthogonal decomposition for flow control, to appear.
    • Arian, E.1    Fahl, M.2    Sachs, E.3
  • 16
    • 0033177060 scopus 로고    scopus 로고
    • Control of Burger's equation by a reduced order approach using proper orthogonal decomposition
    • Kunisch, K., and S. Volkwein, Control of Burger's equation by a reduced order approach using proper orthogonal decomposition, JOTA, 102 (1999), 345-371.
    • (1999) JOTA , vol.102 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 17
    • 50049112971 scopus 로고    scopus 로고
    • Galerkin proper orthogonal decomposition methods for parabolic problems
    • Projektbereich Kontinuierliche Optimierung und Kontrolle, Bericht; Graz
    • Kunisch, K., and S. Volkwein, Galerkin proper orthogonal decomposition methods for parabolic problems, Spezialforschungsbereich F003 Optimierung und Kontrolle, Projektbereich Kontinuierliche Optimierung und Kontrolle, Bericht Nr. 153, (1999), Graz.
    • (1999) Spezialforschungsbereich F003 Optimierung und Kontrolle , Issue.153
    • Kunisch, K.1    Volkwein, S.2
  • 18
    • 0034327551 scopus 로고    scopus 로고
    • Proper orthogonal decomposition in optimal control of fluids
    • Ravindran, S., Proper orthogonal decomposition in optimal control of fluids, Int. J. Numer. Meth. Fluids, 34 (2000), 425-448.
    • (2000) Int. J. Numer. Meth. Fluids , vol.34 , pp. 425-448
    • Ravindran, S.1
  • 19
    • 0011773291 scopus 로고    scopus 로고
    • Reduced-order adaptive controllers for fluid flows using POD
    • to appear
    • Ravindran, S., Reduced-order adaptive controllers for fluid flows using POD, to appear.
    • Ravindran, S.1
  • 20
    • 33747791725 scopus 로고    scopus 로고
    • Optimal control of a phase field model using the proper orthogonal decomposition
    • Volkwein, S., Optimal control of a phase field model using the proper orthogonal decomposition, ZAMM, 81 (2001), 83-97.
    • (2001) ZAMM , vol.81 , pp. 83-97
    • Volkwein, S.1
  • 21
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: Applications and algorithms
    • Du, Q., V. Faber, and M. Gunzburger, Centroidal Voronoi tessellations: Applications and algorithms, SIAM Review, 41 (1999), 637-676.
    • (1999) SIAM Review , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 22
    • 0037114113 scopus 로고    scopus 로고
    • Grid generation and optimization based on centroidal Voronoi tessellations
    • Du, Q., and M. Gunzburger, Grid generation and optimization based on centroidal Voronoi tessellations, to appear in Appl. Comp. Math., (2002).
    • (2002) Appl. Comp. Math.
    • Du, Q.1    Gunzburger, M.2
  • 23
    • 0037127128 scopus 로고    scopus 로고
    • Meshfree, probabilistic determination of point sets and support regions for meshless computing
    • Du, Q., M. Gunzburger, and L.-L. Ju, Meshfree, probabilistic determination of point sets and support regions for meshless computing, to appear in Comp. Meth. Appl. Mech. Engrg., (2002).
    • (2002) Comp. Meth. Appl. Mech. Engrg.
    • Du, Q.1    Gunzburger, M.2    Ju, L.-L.3
  • 24
    • 0011716349 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations on surfaces
    • to appear
    • Du, Q., M. Gunzburger, and L.-L. Ju, Centroidal Voronoi tessellations on surfaces, to appear.
    • Du, Q.1    Gunzburger, M.2    Ju, L.-L.3
  • 25
    • 0011717923 scopus 로고    scopus 로고
    • On the Lloyd's algorithm for computing CVTs
    • to appear
    • Du, Q., and T. Wong, On the Lloyd's algorithm for computing CVTs, to appear.
    • Du, Q.1    Wong, T.2
  • 26
    • 0034474976 scopus 로고    scopus 로고
    • Sensor location in feedback control of partial differential equation systems
    • Faulds, A., and B. King, Sensor location in feedback control of partial differential equation systems, in Proc. 2000 IEEE CCA/CACSD, IEEE, Washington, (2000), 536-541.
    • (2000) Proc. 2000 IEEE CCA/CACSD, IEEE, Washington , pp. 536-541
    • Faulds, A.1    King, B.2
  • 27
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
    • Ju, L.-L., Q. Du, and M. Gunzburger, Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations, to appear in Parallel Comput.
    • Parallel Comput.
    • Ju, L.-L.1    Du, Q.2    Gunzburger, M.3
  • 29
    • 0020102027 scopus 로고
    • Least squares quantization in PCM
    • Lloyd, S., Least squares quantization in PCM, IEEE Trans. Infor. Theory, 28 (1982), 129-137.
    • (1982) IEEE Trans. Infor. Theory , vol.28 , pp. 129-137
    • Lloyd, S.1
  • 30
    • 0001457509 scopus 로고
    • Some methods for classification and analysis of multivariate observations
    • Ed. by L. Le Cam and J. Neyman, University of California, Berkeley
    • MacQueen, J., Some methods for classification and analysis of multivariate observations, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. I, Ed. by L. Le Cam and J. Neyman, University of California, Berkeley, (1967), 281-297.
    • (1967) Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability , vol.1 , pp. 281-297
    • MacQueen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.