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Volumn 36, Issue 2, 2007, Pages 376-397

An implicit compact scheme solver for two-dimensional multicomponent flows

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; EQUATIONS OF MOTION; ITERATIVE METHODS; LINEAR EQUATIONS; STEADY FLOW; VORTEX FLOW;

EID: 33750622667     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2005.08.011     Document Type: Article
Times cited : (10)

References (45)
  • 1
    • 13644282298 scopus 로고    scopus 로고
    • An implicit compact scheme solver with application to chemically reacting flows
    • Noskov M., and Smooke M.D. An implicit compact scheme solver with application to chemically reacting flows. J Comput Phys 203 (2005) 700-730
    • (2005) J Comput Phys , vol.203 , pp. 700-730
    • Noskov, M.1    Smooke, M.D.2
  • 2
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele S.K. Compact finite difference schemes with spectral-like resolution. J Comput Phys 103 (1992) 16-42
    • (1992) J Comput Phys , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 3
    • 0033616463 scopus 로고    scopus 로고
    • Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows
    • Gamet L., Ducros F., Nicoud F., and Poinsot T. Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows. Int J Numer Meth Fluids 29 (1999) 159-191
    • (1999) Int J Numer Meth Fluids , vol.29 , pp. 159-191
    • Gamet, L.1    Ducros, F.2    Nicoud, F.3    Poinsot, T.4
  • 5
    • 13644274668 scopus 로고    scopus 로고
    • Local rectangular refinement solution-adaptive gridding with application to unsteady combustion
    • SIAM and The Combustion Institute
    • Bennett B.A.V., and Smooke M.D. Local rectangular refinement solution-adaptive gridding with application to unsteady combustion. Ninth international conference on numerical combustion, Sorrento, Italy (2002), SIAM and The Combustion Institute 213-214
    • (2002) Ninth international conference on numerical combustion, Sorrento, Italy , pp. 213-214
    • Bennett, B.A.V.1    Smooke, M.D.2
  • 7
    • 0012766359 scopus 로고    scopus 로고
    • Higher-order compact schemes for numerical simulation of incompressible flows. Part I: Theoretical development
    • Demuren A.O., Wilson R.V., and Carpenter M. Higher-order compact schemes for numerical simulation of incompressible flows. Part I: Theoretical development. Numer Heat Transfer Part B 39 (2001) 207-230
    • (2001) Numer Heat Transfer Part B , vol.39 , pp. 207-230
    • Demuren, A.O.1    Wilson, R.V.2    Carpenter, M.3
  • 8
    • 0141935064 scopus 로고    scopus 로고
    • A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions
    • Pereira J.M.C., Kobayashi M.H., and Pereira J.C.F. A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions. J Comput Phys 167 (2001) 217-243
    • (2001) J Comput Phys , vol.167 , pp. 217-243
    • Pereira, J.M.C.1    Kobayashi, M.H.2    Pereira, J.C.F.3
  • 9
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad Y. A flexible inner-outer preconditioned GMRES algorithm. SIAM J Sci Comput 14 2 (1993) 461-469
    • (1993) SIAM J Sci Comput , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 10
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: a survey of approaches and applications
    • Knoll D.A., and Keyes D.E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. J Comput Phys 193 (2004) 357-397
    • (2004) J Comput Phys , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 12
    • 33750615002 scopus 로고    scopus 로고
    • Noskov M. An implicit compact scheme solver for modeling steady-state and time-dependent axisymmetric flows with application to laminar diffusion flame simulations. PhD thesis, Mechanical Engineering Department, Yale University, New Haven, 2003.
  • 13
    • 0001987344 scopus 로고
    • Vorticity-velocity formulation for three-dimensional steady compressible flows
    • Ern A., and Smooke M.D. Vorticity-velocity formulation for three-dimensional steady compressible flows. J Comput Phys 105 (1993) 58-71
    • (1993) J Comput Phys , vol.105 , pp. 58-71
    • Ern, A.1    Smooke, M.D.2
  • 14
    • 33750605348 scopus 로고    scopus 로고
    • Ern A. Vorticity-velocity modeling of chemically reacting flows. PhD thesis, Mechanical Engineering Department, Yale University, New Haven, 1994.
  • 15
    • 84973795128 scopus 로고
    • Detailed chemistry modeling of laminar diffusion flames on parallel computers
    • Ern A., Douglas C.C., and Smooke M.D. Detailed chemistry modeling of laminar diffusion flames on parallel computers. Int J Supercomput Appl High Perf Comput 9 (1995) 167-186
    • (1995) Int J Supercomput Appl High Perf Comput , vol.9 , pp. 167-186
    • Ern, A.1    Douglas, C.C.2    Smooke, M.D.3
  • 16
    • 0026117297 scopus 로고
    • Review of incompressible fluid flow computations using the vorticity-velocity formulation
    • Gatski T.B. Review of incompressible fluid flow computations using the vorticity-velocity formulation. Appl Numer Math 7 (1991) 227-239
    • (1991) Appl Numer Math , vol.7 , pp. 227-239
    • Gatski, T.B.1
  • 17
    • 0000616132 scopus 로고    scopus 로고
    • A compact-difference scheme for the Navier-Stokes equations in vorticity-velocity formulation
    • Meitz H.L., and Fasel H.F. A compact-difference scheme for the Navier-Stokes equations in vorticity-velocity formulation. J Comput Phys 157 (2000) 371-403
    • (2000) J Comput Phys , vol.157 , pp. 371-403
    • Meitz, H.L.1    Fasel, H.F.2
  • 19
    • 0020737327 scopus 로고
    • Error estimate for the modified Newton method with applications to the solution of non-linear, 2-point boundary-value problems
    • Smooke M.D. Error estimate for the modified Newton method with applications to the solution of non-linear, 2-point boundary-value problems. J Optimiz Theory Appl 39 (1983) 489-511
    • (1983) J Optimiz Theory Appl , vol.39 , pp. 489-511
    • Smooke, M.D.1
  • 20
    • 0141704665 scopus 로고
    • Towards polyalgorithmic linear system solvers for nonlinear elliptic problems
    • Ern A., Giovangigli V., Keyes D.E., and Smooke M.D. Towards polyalgorithmic linear system solvers for nonlinear elliptic problems. SIAM J Sci Comput 15 (1994) 681-703
    • (1994) SIAM J Sci Comput , vol.15 , pp. 681-703
    • Ern, A.1    Giovangigli, V.2    Keyes, D.E.3    Smooke, M.D.4
  • 21
    • 0000005482 scopus 로고
    • Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems
    • Van der Vorst H.A. Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems. SIAM J Sci Stat Comput 13 (1992) 631-644
    • (1992) SIAM J Sci Stat Comput , vol.13 , pp. 631-644
    • Van der Vorst, H.A.1
  • 22
    • 33750628492 scopus 로고    scopus 로고
    • Wolfram Research, Inc. Mathematica. Version 5.0, Champaign, IL, 2003.
  • 23
    • 33750611370 scopus 로고    scopus 로고
    • Kee RJ, Dixon-Lewis G, Warnatz J, Coltrin ME, Miller JA. A Fortran computer code package for the evaluation of gas-phase multicomponent transport properties. Report SAND86-8246, Sandia National Laboratories, 1986.
  • 24
    • 0037137877 scopus 로고    scopus 로고
    • A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
    • Wong K.L., and Baker A.J. A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm. Int J Numer Meth Fluids 38 (2002) 99-123
    • (2002) Int J Numer Meth Fluids , vol.38 , pp. 99-123
    • Wong, K.L.1    Baker, A.J.2
  • 25
    • 0001610179 scopus 로고    scopus 로고
    • A Galerkin implementation of the generalized Helmholtz decomposition for vorticity formulations
    • Ingber M.S., and Kempka S.N. A Galerkin implementation of the generalized Helmholtz decomposition for vorticity formulations. J Comput Phys 169 (2001) 215-237
    • (2001) J Comput Phys , vol.169 , pp. 215-237
    • Ingber, M.S.1    Kempka, S.N.2
  • 26
    • 0035455620 scopus 로고    scopus 로고
    • A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution
    • Davies C., and Carpenter P.W. A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution. J Comput Phys 172 (2001) 119-165
    • (2001) J Comput Phys , vol.172 , pp. 119-165
    • Davies, C.1    Carpenter, P.W.2
  • 27
    • 0035449360 scopus 로고    scopus 로고
    • Iterative modified approximate factorization
    • MacCormack R.W. Iterative modified approximate factorization. Comput Fluids 30 (2001) 917-925
    • (2001) Comput Fluids , vol.30 , pp. 917-925
    • MacCormack, R.W.1
  • 28
    • 33750623610 scopus 로고    scopus 로고
    • Hindmarsh AC, Sloan LJ, Dubois PF. DEC/SOL: solution of dense systems of linear algebraic equations. UCID-30137. Technical report, Lawrence Livermore Laboratory, 1978.
  • 29
    • 0032083702 scopus 로고    scopus 로고
    • An object-oriented framework for block preconditioning
    • Chow E., and Heroux M.A. An object-oriented framework for block preconditioning. ACM Trans Math Software 24 (1998) 159
    • (1998) ACM Trans Math Software , vol.24 , pp. 159
    • Chow, E.1    Heroux, M.A.2
  • 30
    • 0034884436 scopus 로고    scopus 로고
    • Preconditioning highly indefinite and non-symmetric matrices
    • Benzi M., Haws J.C., and Tuma M. Preconditioning highly indefinite and non-symmetric matrices. SIAM J Sci Comput 22 (2000) 1333-1353
    • (2000) SIAM J Sci Comput , vol.22 , pp. 1333-1353
    • Benzi, M.1    Haws, J.C.2    Tuma, M.3
  • 31
    • 0035537388 scopus 로고    scopus 로고
    • On algorithms for permuting large entries to the diagonal of a sparse matrix
    • Duff I.S., and Koster J. On algorithms for permuting large entries to the diagonal of a sparse matrix. SIAM J Matrix Anal Appl 22 (2001) 973
    • (2001) SIAM J Matrix Anal Appl , vol.22 , pp. 973
    • Duff, I.S.1    Koster, J.2
  • 32
    • 33750605011 scopus 로고    scopus 로고
    • Saad Y. SPARSKIT: a basic tool-kit for sparse matrix computations (version 2), 1998. Available from: http://www-users.cs.umn.edu/~saad/software/SPARSKIT/sparskit.html.
  • 33
    • 0036867930 scopus 로고    scopus 로고
    • Preconditioning techniques for large linear systems: a survey
    • Benzi M. Preconditioning techniques for large linear systems: a survey. J Comput Phys 182 (2002) 418-477
    • (2002) J Comput Phys , vol.182 , pp. 418-477
    • Benzi, M.1
  • 36
    • 84959657391 scopus 로고
    • Steady flow in the transition length of a straight tube
    • Langhaar H.L. Steady flow in the transition length of a straight tube. Trans ASME 64 (1942) A55-A58
    • (1942) Trans ASME , vol.64
    • Langhaar, H.L.1
  • 37
    • 33750614525 scopus 로고    scopus 로고
    • Markatou P. A computational study of methane/air and hydrogen/air combustion above a heated catalytic and non-catalytic surface. PhD thesis, Mechanical Engineering Department, Yale University, New Haven, 1991.
  • 38
    • 0001493254 scopus 로고
    • Solution of the multi-dimensional compressible Navier-Stokes equations by a generalized implicit method
    • Briley W.R., and McDonald H. Solution of the multi-dimensional compressible Navier-Stokes equations by a generalized implicit method. J Comput Phys 24 (1977) 372-397
    • (1977) J Comput Phys , vol.24 , pp. 372-397
    • Briley, W.R.1    McDonald, H.2
  • 39
    • 0035448947 scopus 로고    scopus 로고
    • An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization
    • Briley W.R., and McDonald H. An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization. Comput Fluids 30 (2001) 807-828
    • (2001) Comput Fluids , vol.30 , pp. 807-828
    • Briley, W.R.1    McDonald, H.2
  • 40
    • 0019584214 scopus 로고
    • Flow induced by jets and plumes
    • Schneider W. Flow induced by jets and plumes. J Fluid Mech 108 (1981) 55-65
    • (1981) J Fluid Mech , vol.108 , pp. 55-65
    • Schneider, W.1
  • 41
    • 0022058996 scopus 로고
    • Decay of momentum in submerged jets
    • Schneider W. Decay of momentum in submerged jets. J Fluid Mech 154 (1985) 91-110
    • (1985) J Fluid Mech , vol.154 , pp. 91-110
    • Schneider, W.1
  • 42
    • 0023115495 scopus 로고
    • The recirculatory flow induced by a laminar axisymmetric jet issuing from a wall
    • Schneider W., Zauner E., and Bohm H. The recirculatory flow induced by a laminar axisymmetric jet issuing from a wall. J Fluids Eng 109 (1987) 237-241
    • (1987) J Fluids Eng , vol.109 , pp. 237-241
    • Schneider, W.1    Zauner, E.2    Bohm, H.3
  • 43
    • 0000009391 scopus 로고
    • Boundary conditions for direct simulations of compressible viscous flows
    • Poinsot T.J., and Lele S.K. Boundary conditions for direct simulations of compressible viscous flows. J Comput Phys 101 (1992) 104-129
    • (1992) J Comput Phys , vol.101 , pp. 104-129
    • Poinsot, T.J.1    Lele, S.K.2
  • 44
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains. A review
    • Tsynkov S.V. Numerical solution of problems on unbounded domains. A review. Appl Numer Math 27 (1998) 465-532
    • (1998) Appl Numer Math , vol.27 , pp. 465-532
    • Tsynkov, S.V.1
  • 45
    • 0036611890 scopus 로고    scopus 로고
    • The virtual origin as a first-order correction for the far-field description of laminar jets
    • Revuelta A., Sanchez A.L., and Linan A. The virtual origin as a first-order correction for the far-field description of laminar jets. Phys Fluids 14 (2002) 1821-1824
    • (2002) Phys Fluids , vol.14 , pp. 1821-1824
    • Revuelta, A.1    Sanchez, A.L.2    Linan, A.3


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