메뉴 건너뛰기




Volumn 151, Issue 2, 1999, Pages 684-727

Local Rectangular Refinement with Application to Nonreacting and Reacting Fluid Flow Problems

Author keywords

Adaptive methods; Axisymmetric laminar flame; Finite difference discretizations; Mesh refinement; Square cavity flow

Indexed keywords

FLOW OF FLUIDS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; TENSORS;

EID: 0000871637     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6214     Document Type: Article
Times cited : (53)

References (49)
  • 1
    • 0001606107 scopus 로고
    • Finite-element method for two-dimensional parabolic systems
    • Adjerid S., Flaherty J. E. Finite-element method for two-dimensional parabolic systems. SIAM J. Sci. Stat. Comput. 9:1988;792.
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 792
    • Adjerid, S.1    Flaherty, J.E.2
  • 2
    • 34250236781 scopus 로고
    • An adaptive, multi-level refinement method for time-dependent partial differential equations
    • Bank R. E., Sherman A. H. An adaptive, multi-level refinement method for time-dependent partial differential equations. Computing. 26:1981;91.
    • (1981) Computing , vol.26 , pp. 91
    • Bank, R.E.1    Sherman, A.H.2
  • 3
    • 0000843403 scopus 로고
    • Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
    • Bell J., Berger M., Saltzman J., Welcome M. Three-dimensional adaptive mesh refinement for hyperbolic conservation laws. SIAM J. Sci. Comput. 15:1994;127.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 127
    • Bell, J.1    Berger, M.2    Saltzman, J.3    Welcome, M.4
  • 4
    • 0000292512 scopus 로고    scopus 로고
    • Local rectangular refinement with application to axisymmetric laminar flames
    • Bennett B. A. V., Smooke M. D. Local rectangular refinement with application to axisymmetric laminar flames. Combust. Theory Modelling. 2:1998;221.
    • (1998) Combust. Theory Modelling , vol.2 , pp. 221
    • Bennett, B.A.V.1    Smooke, M.D.2
  • 6
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger M. J., Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82:1989;64.
    • (1989) J. Comput. Phys. , vol.82 , pp. 64
    • Berger, M.J.1    Colella, P.2
  • 7
    • 49049134162 scopus 로고
    • Adaptive zoning for singular problems in two dimensions
    • Brackbill J. U., Saltzman J. S. Adaptive zoning for singular problems in two dimensions. J. Comput. Phys. 46:1982;342.
    • (1982) J. Comput. Phys. , vol.46 , pp. 342
    • Brackbill, J.U.1    Saltzman, J.S.2
  • 8
    • 0001545240 scopus 로고
    • Error equidistribution and mesh adaption
    • Chen K. Error equidistribution and mesh adaption. SIAM J. Sci. Comput. 15:1994;798.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 798
    • Chen, K.1
  • 9
    • 0027878979 scopus 로고
    • Calculation of a confined axisymmetric laminar diffusion flame using a local grid refinement technique
    • Coelho P. J., Pereira J. C. F. Calculation of a confined axisymmetric laminar diffusion flame using a local grid refinement technique. Combust. Sci. Tech. 92:1993;243.
    • (1993) Combust. Sci. Tech. , vol.92 , pp. 243
    • Coelho, P.J.1    Pereira, J.C.F.2
  • 11
    • 0024862182 scopus 로고
    • On some adaptive numerical approaches of thin flame propagation problems
    • Dervieux A., Larrouturou B., Peyret R. On some adaptive numerical approaches of thin flame propagation problems. Comput. Fluids. 17:1989;39.
    • (1989) Comput. Fluids , vol.17 , pp. 39
    • Dervieux, A.1    Larrouturou, B.2    Peyret, R.3
  • 12
    • 0000763833 scopus 로고
    • A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
    • Deuflhard P. A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting. Numer. Math. 22:1974;289.
    • (1974) Numer. Math. , vol.22 , pp. 289
    • Deuflhard, P.1
  • 15
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A bench mark numerical solution
    • Davis G. de Vahl. Natural convection of air in a square cavity: A bench mark numerical solution. Int. J. Numer. Methods Fluids. 3:1983;249.
    • (1983) Int. J. Numer. Methods Fluids , vol.3 , pp. 249
    • Davis, G.D.V.1
  • 16
    • 0002785321 scopus 로고
    • An evaluation of upwind and central difference approximations by a study of recirculating flow
    • Davis G. de Vahl, Mallinson G. D. An evaluation of upwind and central difference approximations by a study of recirculating flow. Comput. Fluids. 4:1976;29.
    • (1976) Comput. Fluids , vol.4 , pp. 29
    • Davis, G.D.V.1    Mallinson, G.D.2
  • 17
    • 0346123237 scopus 로고
    • Adaptive gridding for finite difference solutions to heat and mass transfer problems
    • Dwyer H. A., Smooke M. D., Kee R. J. Adaptive gridding for finite difference solutions to heat and mass transfer problems. Numerical Grid Generation. 1982;339.
    • (1982) Numerical Grid Generation , pp. 339
    • Dwyer, H.A.1    Smooke, M.D.2    Kee, R.J.3
  • 18
    • 77957083024 scopus 로고
    • Molecular gas band radiation
    • Edwards D. K. Molecular gas band radiation. Adv. Heat Transfer. 12:1976;115.
    • (1976) Adv. Heat Transfer , vol.12 , pp. 115
    • Edwards, D.K.1
  • 19
    • 84973795128 scopus 로고
    • Detailed chemistry modelling of laminar diffusion flames on parallel computers
    • Ern A., Douglas C. C., Smooke M. D. Detailed chemistry modelling of laminar diffusion flames on parallel computers. Int. J. Supercomput. Appl. 9:1995;167.
    • (1995) Int. J. Supercomput. Appl. , vol.9 , pp. 167
    • Ern, A.1    Douglas, C.C.2    Smooke, M.D.3
  • 20
    • 0141704665 scopus 로고
    • Towards polyalgorithmic linear system solvers for nonlinear elliptic problems
    • Ern A., Giovangigli V., Keyes D. E., Smooke M. D. Towards polyalgorithmic linear system solvers for nonlinear elliptic problems. SIAM J. Sci. Comput. 15:1994;681.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 681
    • Ern, A.1    Giovangigli, V.2    Keyes, D.E.3    Smooke, M.D.4
  • 21
    • 0022524054 scopus 로고
    • A local mesh-refinement technique for incompressible flows
    • Fuchs L. A local mesh-refinement technique for incompressible flows. Comput. Fluids. 14:1986;69.
    • (1986) Comput. Fluids , vol.14 , pp. 69
    • Fuchs, L.1
  • 22
    • 38249040727 scopus 로고
    • Predictions of fluid flow and heat transfer problems by the vorticity-velocity formulation of the Navier-Stokes equations
    • Fusegi T., Farouk B. Predictions of fluid flow and heat transfer problems by the vorticity-velocity formulation of the Navier-Stokes equations. J. Comput. Phys. 65:1986;227.
    • (1986) J. Comput. Phys. , vol.65 , pp. 227
    • Fusegi, T.1    Farouk, B.2
  • 23
    • 0001154322 scopus 로고
    • Vector computers and complex chemistry combustion
    • C.-M. BraunerC. Schmidt-Lainé, Nijhoff, Dordrecht
    • V. Giovangigli, N. Darabiha, Vector computers and complex chemistry combustion, Mathematical Modeling in Combustion and Related Topics, C.-M. BraunerC. Schmidt-Lainé, Nijhoff, Dordrecht, 1988, 491.
    • (1988) Mathematical Modeling in Combustion and Related Topics , pp. 491
    • Giovangigli, V.1    Darabiha, N.2
  • 24
    • 0024698977 scopus 로고
    • Adaptive continuation algorithms with application to combustion problems
    • Giovangigli V., Smooke M. D. Adaptive continuation algorithms with application to combustion problems. Appl. Numer. Math. 5:1989;305.
    • (1989) Appl. Numer. Math. , vol.5 , pp. 305
    • Giovangigli, V.1    Smooke, M.D.2
  • 25
    • 0000029628 scopus 로고
    • The radiative source term for plane-parallel layers of reacting combustion gases
    • Hall R. J. The radiative source term for plane-parallel layers of reacting combustion gases. J. Quant. Spectrosc. Radiat. Transfer. 49:1993;517.
    • (1993) J. Quant. Spectrosc. Radiat. Transfer , vol.49 , pp. 517
    • Hall, R.J.1
  • 26
    • 0000523450 scopus 로고
    • Radiative dissipation in planar gas-soot mixtures
    • Hall R. J. Radiative dissipation in planar gas-soot mixtures. J. Quant. Spectrosc. Radiat. Transfer. 51:1994;635.
    • (1994) J. Quant. Spectrosc. Radiat. Transfer , vol.51 , pp. 635
    • Hall, R.J.1
  • 27
    • 0000783631 scopus 로고
    • Numerical treatment of grid interfaces for viscous flows
    • Kallinderis Y. Numerical treatment of grid interfaces for viscous flows. J. Comput. Phys. 98:1992;129.
    • (1992) J. Comput. Phys. , vol.98 , pp. 129
    • Kallinderis, Y.1
  • 32
    • 38249029276 scopus 로고
    • Adaptive methods for elliptic grid generation
    • Matsuno K., Dwyer H. A. Adaptive methods for elliptic grid generation. J. Comput. Phys. 77:1988;40.
    • (1988) J. Comput. Phys. , vol.77 , pp. 40
    • Matsuno, K.1    Dwyer, H.A.2
  • 33
    • 0023214166 scopus 로고
    • Vorticity-velocity formulation for high Re flows
    • Orlandi P. Vorticity-velocity formulation for high Re flows. Comput. Fluids. 15:1987;137.
    • (1987) Comput. Fluids , vol.15 , pp. 137
    • Orlandi, P.1
  • 35
    • 0346306742 scopus 로고
    • On artificial viscosity
    • Roache P. J. On artificial viscosity. J. Comput. Phys. 10:1972;169.
    • (1972) J. Comput. Phys. , vol.10 , pp. 169
    • Roache, P.J.1
  • 36
    • 0343220338 scopus 로고
    • Shepard's interpolation for solution-adaptive methods
    • Shen C.-Y., Reed H. L., Foley T. A. Shepard's interpolation for solution-adaptive methods. J. Comput. Phys. 106:1993;52.
    • (1993) J. Comput. Phys. , vol.106 , pp. 52
    • Shen, C.-Y.1    Reed, H.L.2    Foley, T.A.3
  • 37
    • 0002435374 scopus 로고
    • Solution of burner-stabilized premixed laminar flames by boundary value methods
    • Smooke M. D. Solution of burner-stabilized premixed laminar flames by boundary value methods. J. Comput. Phys. 48:1982;72.
    • (1982) J. Comput. Phys. , vol.48 , pp. 72
    • Smooke, M.D.1
  • 38
    • 0020737327 scopus 로고
    • Error estimate for the modified Newton method with applications to the solution of nonlinear, two-point boundary value problems
    • Smooke M. D. Error estimate for the modified Newton method with applications to the solution of nonlinear, two-point boundary value problems. J. Optim. Theory Appl. 39:1983;489.
    • (1983) J. Optim. Theory Appl. , vol.39 , pp. 489
    • Smooke, M.D.1
  • 39
    • 38249043492 scopus 로고
    • Two-dimensional fully adaptive solutions of solid-solid alloying reactions
    • Smooke M. D., Koszykowski M. L. Two-dimensional fully adaptive solutions of solid-solid alloying reactions. J. Comput. Phys. 62:1986;1.
    • (1986) J. Comput. Phys. , vol.62 , pp. 1
    • Smooke, M.D.1    Koszykowski, M.L.2
  • 40
    • 0022151153 scopus 로고
    • On the solution of nonlinear two-point boundary value problems on successively refined grids
    • Smooke M. D., Mattheij R. M. M. On the solution of nonlinear two-point boundary value problems on successively refined grids. Appl. Numer. Math. 1:1985;463.
    • (1985) Appl. Numer. Math. , vol.1 , pp. 463
    • Smooke, M.D.1    Mattheij, R.M.M.2
  • 41
    • 0011126479 scopus 로고
    • Solution of premixed and counterflow diffusion flame problems by adaptive boundary value methods
    • U. M. AscherR. D. Russell, Birkhäuser, Boston
    • M. D. Smooke, R. E. Mitchell, R. J. Kee, Solution of premixed and counterflow diffusion flame problems by adaptive boundary value methods, Numerical Boundary Value ODEs, U. M. AscherR. D. Russell, Birkhäuser, Boston, 1985, 303.
    • (1985) Numerical Boundary Value ODEs , pp. 303
    • Smooke, M.D.1    Mitchell, R.E.2    Kee, R.J.3
  • 42
    • 84954738455 scopus 로고
    • Numerical solution of two-dimensional axisymmetric laminar diffusion flames
    • Smooke M. D., Mitchell R. E., Keyes D. E. Numerical solution of two-dimensional axisymmetric laminar diffusion flames. Combust. Sci. Tech. 67:1989;85.
    • (1989) Combust. Sci. Tech. , vol.67 , pp. 85
    • Smooke, M.D.1    Mitchell, R.E.2    Keyes, D.E.3
  • 43
    • 0000554622 scopus 로고
    • A comparison between numerical calculations and experimental measurements of the structure of a counterflow diffusion flame burning diluted methane in diluted air
    • Smooke M. D., Puri I. K., Seshadri K. A comparison between numerical calculations and experimental measurements of the structure of a counterflow diffusion flame burning diluted methane in diluted air. 21st Int. Symp. on Combustion. 1986;1783.
    • (1986) 21st Int. Symp. on Combustion , pp. 1783
    • Smooke, M.D.1    Puri, I.K.2    Seshadri, K.3
  • 44
    • 0000544134 scopus 로고
    • A numerical study of a premixed flame on a slit burner
    • Somers L. T., de Goey L. P. H. A numerical study of a premixed flame on a slit burner. Combust. Sci. Tech. 108:1995;121.
    • (1995) Combust. Sci. Tech. , vol.108 , pp. 121
    • Somers, L.T.1    De Goey, L.P.H.2
  • 47
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H. A. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13:1992;631.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631
    • Van Der Vorst, H.A.1
  • 48
    • 85047672543 scopus 로고
    • Application of a primitive variable Newton's method for the calculation of an axisymmetric laminar diffusion flame
    • Xu Y., Smooke M. D. Application of a primitive variable Newton's method for the calculation of an axisymmetric laminar diffusion flame. J. Comput. Phys. 104:1993;99.
    • (1993) J. Comput. Phys. , vol.104 , pp. 99
    • Xu, Y.1    Smooke, M.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.