메뉴 건너뛰기




Volumn 6, Issue 2, 2008, Pages 179-190

A tailored strategy for PDE-based design of hierarchically structured porous catalysts

Author keywords

Diffusion; Diffusion reaction equation; Geometrical optimization; Limitations; Multigrid method; Rational design; Reduced gradient method

Indexed keywords

AIRCRAFT ENGINES; BESSEL FUNCTIONS; CATALYSIS; CATALYSTS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FINITE VOLUME METHOD; FUNCTION EVALUATION; GRADIENT METHODS; LAPTOP COMPUTERS; LINEAR EQUATIONS; NUMERICAL ANALYSIS; NUMERICAL METHODS; OPTIMAL SYSTEMS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; PROGRAMMING THEORY; STEEL ANALYSIS; TESTING;

EID: 46349108619     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v6.i2.60     Document Type: Article
Times cited : (4)

References (26)
  • 1
    • 0141974147 scopus 로고    scopus 로고
    • Synthesis of bimodal nanostructured silicas with independently controlled small and large mesopore sizes
    • Sun, J. H., Shan, Z. P., Maschmeyer, T., and Coppens, M.-O., Synthesis of bimodal nanostructured silicas with independently controlled small and large mesopore sizes. Langmuir. 19:8395-8402, 2003.
    • (2003) Langmuir , vol.19 , pp. 8395-8402
    • Sun, J.H.1    Shan, Z.P.2    Maschmeyer, T.3    Coppens, M.-O.4
  • 2
    • 0242330804 scopus 로고    scopus 로고
    • Catalytic benzene alkylation over mesoporous zeolite single crystals: Improving activity and selectivity with a new family of porous materials
    • Christensen, C. H., Johannsen, K., Schmidt, I., and Christensen, C. H., Catalytic benzene alkylation over mesoporous zeolite single crystals: Improving activity and selectivity with a new family of porous materials. J. Am. Chem. Soc. 125:13370-13371, 2003.
    • (2003) J. Am. Chem. Soc , vol.125 , pp. 13370-13371
    • Christensen, C.H.1    Johannsen, K.2    Schmidt, I.3    Christensen, C.H.4
  • 3
    • 0042528882 scopus 로고    scopus 로고
    • Generation, characterization, and impact of mesopores in zeolite catalysts
    • van Donk, S., Janssen, A. H., Bitter, J. H., and de Jong, K. P., Generation, characterization, and impact of mesopores in zeolite catalysts. Catal. Rev. Sci. Eng. 45:297-319, 2003.
    • (2003) Catal. Rev. Sci. Eng , vol.45 , pp. 297-319
    • van Donk, S.1    Janssen, A.H.2    Bitter, J.H.3    de Jong, K.P.4
  • 4
    • 33748255902 scopus 로고    scopus 로고
    • Amphiphilic organosilane-directed synthesis of crystalline zeolite with tunable mesoporosity
    • Choi, M., Cho, H. S., Srivastava, R., Venkatesan, C., Choi, D. H., and Ryoo, R., Amphiphilic organosilane-directed synthesis of crystalline zeolite with tunable mesoporosity. Nat. Mater. 5:718-723, 2006.
    • (2006) Nat. Mater , vol.5 , pp. 718-723
    • Choi, M.1    Cho, H.S.2    Srivastava, R.3    Venkatesan, C.4    Choi, D.H.5    Ryoo, R.6
  • 5
    • 33846210093 scopus 로고    scopus 로고
    • Direct demonstration of enhanced diffusion in mesoporous ZSM-5 zeolite obtained via controlled desilication
    • Groen, J. C., Zhu, W. D., Brouwer, S., Huynink, S. J., Kapteijn, F., Moulijn, J. A., and Perez-Ramirez, J., Direct demonstration of enhanced diffusion in mesoporous ZSM-5 zeolite obtained via controlled desilication. J. Am. Chem. Soc. 129:355-360, 2007.
    • (2007) J. Am. Chem. Soc , vol.129 , pp. 355-360
    • Groen, J.C.1    Zhu, W.D.2    Brouwer, S.3    Huynink, S.J.4    Kapteijn, F.5    Moulijn, J.A.6    Perez-Ramirez, J.7
  • 6
    • 35948946531 scopus 로고    scopus 로고
    • Single-template synthesis of zeolite ZSM-5 composites with tunable mesoporosity
    • Wang, J., Groen, J. C., Yue, W., Zhou, W., and Coppens, M.-O., Single-template synthesis of zeolite ZSM-5 composites with tunable mesoporosity. Chem. Commun. 4653-4655, 2007.
    • (2007) Chem. Commun , vol.4653-4655
    • Wang, J.1    Groen, J.C.2    Yue, W.3    Zhou, W.4    Coppens, M.-O.5
  • 7
    • 1942469323 scopus 로고    scopus 로고
    • Optimal bimodal pore networks for heterogeneous catalysis
    • Gheorghiu, S., and Coppens, M.-O., Optimal bimodal pore networks for heterogeneous catalysis. AIChE J. 50:812-820, 2004.
    • (2004) AIChE J , vol.50 , pp. 812-820
    • Gheorghiu, S.1    Coppens, M.-O.2
  • 8
  • 9
    • 34250804751 scopus 로고    scopus 로고
    • Optimal distributor networks in porous catalyst pellets. I. Molecular diffusion
    • Johannessen, E., Wang, G., and Coppens, M.-O., Optimal distributor networks in porous catalyst pellets. I. Molecular diffusion. Ind. Eng. Chem. Res. 46:4245-4256, 2007.
    • (2007) Ind. Eng. Chem. Res , vol.46 , pp. 4245-4256
    • Johannessen, E.1    Wang, G.2    Coppens, M.-O.3
  • 10
    • 46049099881 scopus 로고    scopus 로고
    • Calculation of the optimal macropore size in nanoporous catalysts and its application to deNOx catalysis
    • Wang, G., and Coppens, M.-O., Calculation of the optimal macropore size in nanoporous catalysts and its application to deNOx catalysis. Ind. Eng. Chem. Res. 47:3847-3855, 2008.
    • (2008) Ind. Eng. Chem. Res , vol.47 , pp. 3847-3855
    • Wang, G.1    Coppens, M.-O.2
  • 11
    • 0742269664 scopus 로고    scopus 로고
    • Application to a CVD reactor
    • A tailored optimization strategy for PDE-based design
    • Itle, G. C., Salinger, A. G., Pawlowski, R. P., Shadid, J. N., and Biegler, L. T., A tailored optimization strategy for PDE-based design: Application to a CVD reactor. Comput. Chem. Eng. 28:291-302, 2004.
    • (2004) Comput. Chem. Eng , vol.28 , pp. 291-302
    • Itle, G.C.1    Salinger, A.G.2    Pawlowski, R.P.3    Shadid, J.N.4    Biegler, L.T.5
  • 12
    • 0036899040 scopus 로고    scopus 로고
    • Dynamic optimization of dissipative PDE systems using nonlinear order reduction
    • Armaou, A., and Christofides, P. D., Dynamic optimization of dissipative PDE systems using nonlinear order reduction. Chem. Eng. Sci. 57:5083-5114, 2002.
    • (2002) Chem. Eng. Sci , vol.57 , pp. 5083-5114
    • Armaou, A.1    Christofides, P.D.2
  • 13
    • 0026963329 scopus 로고
    • Reduced SQP methods for parameter-identification problems
    • Kunisch, K., and Sachs, E. W., Reduced SQP methods for parameter-identification problems. SIAM J. Numer. Anal. 29:1793-1820, 1992.
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 1793-1820
    • Kunisch, K.1    Sachs, E.W.2
  • 14
    • 0031572072 scopus 로고    scopus 로고
    • Optimal control of two- and three-dimensional incompressible Navier-Stokes flows
    • Ghattas, O., and Bark, J. H., Optimal control of two- and three-dimensional incompressible Navier-Stokes flows. J. Comput. Phys. 136:231-244, 1997.
    • (1997) J. Comput. Phys , vol.136 , pp. 231-244
    • Ghattas, O.1    Bark, J.H.2
  • 15
    • 34250129599 scopus 로고
    • A Fortran subroutine for solving constrained nonlinear programming problems
    • NLPQL
    • Schittkowski, K., NLPQL: A Fortran subroutine for solving constrained nonlinear programming problems. Ann. Oper. Res. 5:485-500, 1985-1986.
    • (1985) Ann. Oper. Res , vol.5 , pp. 485-500
    • Schittkowski, K.1
  • 16
    • 0003090969 scopus 로고
    • Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
    • de Zeeuw, P. M., Matrix-dependent prolongations and restrictions in a blackbox multigrid solver. J. Comput. Appl. Math. 33:1-27, 1990.
    • (1990) J. Comput. Appl. Math , vol.33 , pp. 1-27
    • de Zeeuw, P.M.1
  • 17
    • 0036433588 scopus 로고    scopus 로고
    • An SQP algorithm for large-scale constrained optimization
    • SNOPT
    • Gill, P. E., Murray, W., and Saunders, M. A., SNOPT: An SQP algorithm for large-scale constrained optimization. SIAM J. Optim. 12:979-1006, 2002.
    • (2002) SIAM J. Optim , vol.12 , pp. 979-1006
    • Gill, P.E.1    Murray, W.2    Saunders, M.A.3
  • 18
    • 0003446306 scopus 로고
    • MINOS 5.4 User's Guide
    • 83-20R. Systems Optimization Laboratory, Stanford University, Stanford, CA
    • Murtagh, B. A., and Saunders, M. A., MINOS 5.4 User's Guide, Report SOL 83-20R. Systems Optimization Laboratory, Stanford University, Stanford, CA, 1983.
    • (1983) Report SOL
    • Murtagh, B.A.1    Saunders, M.A.2
  • 19
    • 0003141840 scopus 로고
    • LANCELOT: A Fortran Package for Large-Scale Nonlinear Optimization (Release A)
    • Springer, Berlin
    • Conn, A. R., Gould, N. I. M., and Toint, P. L., LANCELOT: A Fortran Package for Large-Scale Nonlinear Optimization (Release A). Springer Series in Computational Mathematics, vol. 17. Springer, Berlin, 1992.
    • (1992) Springer Series in Computational Mathematics , vol.17
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3
  • 20
    • 0001346976 scopus 로고    scopus 로고
    • Spellucci, P., An SQP method for general nonlinear programs using only equality constrained subproblems. Math. Prog. 82:413-448, 1998.
    • Spellucci, P., An SQP method for general nonlinear programs using only equality constrained subproblems. Math. Prog. 82:413-448, 1998.
  • 21
    • 0017949075 scopus 로고
    • Design and testing of a generalized reduced gradient code for nonlinear programming
    • Lasdon, L. S., Warren, A. D., Jain, A., and Ratner, M., Design and testing of a generalized reduced gradient code for nonlinear programming. ACM Trans. Math. Softw. 4:34-50, 1978.
    • (1978) ACM Trans. Math. Softw , vol.4 , pp. 34-50
    • Lasdon, L.S.1    Warren, A.D.2    Jain, A.3    Ratner, M.4
  • 24
    • 0001152556 scopus 로고
    • Discretization and multigrid solution of elliptic-equations with mixed derivative terms and strongly discontinuous coefficients
    • Crumpton, P. I., Shaw, G. J., and Ware, A. F., Discretization and multigrid solution of elliptic-equations with mixed derivative terms and strongly discontinuous coefficients. J. Comput. Phys. 116:343-358, 1995.
    • (1995) J. Comput. Phys , vol.116 , pp. 343-358
    • Crumpton, P.I.1    Shaw, G.J.2    Ware, A.F.3
  • 25
    • 46349085784 scopus 로고    scopus 로고
    • Wesseling, P., An Introduction to Multigrid Methods. R. T. Edwards, Flourtown, PA, 2004.
    • Wesseling, P., An Introduction to Multigrid Methods. R. T. Edwards, Flourtown, PA, 2004.
  • 26
    • 84966225158 scopus 로고    scopus 로고
    • An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink, J. A., and van der Vorst, H. A., An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Math Comput. 31:148-162, 1997.
    • (1997) Math Comput , vol.31 , pp. 148-162
    • Meijerink, J.A.1    van der Vorst, H.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.