메뉴 건너뛰기




Volumn 230, Issue 23, 2011, Pages 8554-8572

Dimension reduction method for ODE fluid models

Author keywords

Closure problem; Coarse integration; Deconvolution; Model reduction; Multiscale modeling; ODEs; Upscaling

Indexed keywords

HYDRODYNAMICS; ITERATIVE METHODS; TWO PHASE FLOW;

EID: 80053132302     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.08.004     Document Type: Article
Times cited : (10)

References (45)
  • 1
    • 0001145551 scopus 로고
    • Continuum equations of balance via weighted averages of microscopic quantities
    • Murdoch A., Bedeaux D. Continuum equations of balance via weighted averages of microscopic quantities. Proc. Roy. Soc. Lond. A 1994, 445:157-179.
    • (1994) Proc. Roy. Soc. Lond. A , vol.445 , pp. 157-179
    • Murdoch, A.1    Bedeaux, D.2
  • 7
    • 47949119506 scopus 로고    scopus 로고
    • Stochastic langevin model for flow and transport in porous media
    • Tartakovsky A.M., Tartakovsky D.M., Meakin P. Stochastic langevin model for flow and transport in porous media. Phys. Rev. Lett. 2008, 101:044502. 10.1103/PhysRevLett.101.044502.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 044502
    • Tartakovsky, A.M.1    Tartakovsky, D.M.2    Meakin, P.3
  • 8
    • 70349886558 scopus 로고    scopus 로고
    • Effects of incomplete mixing on multicomponent reactive transport
    • Tartakovsky A.M., Tartakovsky G.D., Scheibe T.D. Effects of incomplete mixing on multicomponent reactive transport. Adv. Water Resour. 2009, 32:1674-1679.
    • (2009) Adv. Water Resour. , vol.32 , pp. 1674-1679
    • Tartakovsky, A.M.1    Tartakovsky, G.D.2    Scheibe, T.D.3
  • 9
    • 70349928640 scopus 로고    scopus 로고
    • On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media
    • Battiato I., Tartakovsky D.M., Tartakovsky A.M., Scheibe T.D. On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media. Adv. Water Resour. 2009, 32:1664-1673.
    • (2009) Adv. Water Resour. , vol.32 , pp. 1664-1673
    • Battiato, I.1    Tartakovsky, D.M.2    Tartakovsky, A.M.3    Scheibe, T.D.4
  • 10
    • 0041428215 scopus 로고    scopus 로고
    • Projective methods for stiff differential equations: problems with gaps in their eigenvalue spectrum
    • Gear C.W., Kevrekidis I.G. Projective methods for stiff differential equations: problems with gaps in their eigenvalue spectrum. SIAM J. Sci. Comput. 2003, 24:1091.
    • (2003) SIAM J. Sci. Comput. , vol.24 , pp. 1091
    • Gear, C.W.1    Kevrekidis, I.G.2
  • 11
    • 34447289682 scopus 로고    scopus 로고
    • Projective and coarse projective integration for problems with continuous symmetries
    • Kavousanakis M.E., Erban R., Boudouvis A., Gear C., Kevrekidis I. Projective and coarse projective integration for problems with continuous symmetries. J. Comput. Phys. 2007, 225(1):382-407.
    • (2007) J. Comput. Phys. , vol.225 , Issue.1 , pp. 382-407
    • Kavousanakis, M.E.1    Erban, R.2    Boudouvis, A.3    Gear, C.4    Kevrekidis, I.5
  • 12
    • 85168407443 scopus 로고    scopus 로고
    • Constraint-defined manifolds: a legacy code approach to low-dimensional computation
    • Gear C.W., Kevrekidis I. Constraint-defined manifolds: a legacy code approach to low-dimensional computation. J. Sci. Comput. 2005, 25(1-2):17-28.
    • (2005) J. Sci. Comput. , vol.25 , Issue.1-2 , pp. 17-28
    • Gear, C.W.1    Kevrekidis, I.2
  • 13
    • 24644471938 scopus 로고    scopus 로고
    • Projecting to a slow manifold: singularly perturbed systems and legacy codes
    • Gear C.W., Kaper T., Kevrekidis I., Zagaris A. Projecting to a slow manifold: singularly perturbed systems and legacy codes. SIAM J. Appl. Dyn. Syst. 2005, 4(3):711-732.
    • (2005) SIAM J. Appl. Dyn. Syst. , vol.4 , Issue.3 , pp. 711-732
    • Gear, C.W.1    Kaper, T.2    Kevrekidis, I.3    Zagaris, A.4
  • 14
    • 33747883547 scopus 로고    scopus 로고
    • Prediction from partial data, renormalization, and averaging
    • Chorin A., Hald O., Kupferman R. Prediction from partial data, renormalization, and averaging. J. Sci. Comput. 2006, 28(2-3):245-261.
    • (2006) J. Sci. Comput. , vol.28 , Issue.2-3 , pp. 245-261
    • Chorin, A.1    Hald, O.2    Kupferman, R.3
  • 15
    • 0037097924 scopus 로고    scopus 로고
    • Optimal prediction with memory
    • Chorin A., Hald O., Kupferman R. Optimal prediction with memory. Phys. D 2002, 166(3-4):239-257.
    • (2002) Phys. D , vol.166 , Issue.3-4 , pp. 239-257
    • Chorin, A.1    Hald, O.2    Kupferman, R.3
  • 16
    • 0000514837 scopus 로고
    • Transport collective motion and brownian motion
    • Mori H. Transport collective motion and brownian motion. Prog. Theoret. Phys. 1965, 33(3):423-455.
    • (1965) Prog. Theoret. Phys. , vol.33 , Issue.3 , pp. 423-455
    • Mori, H.1
  • 17
    • 0001550932 scopus 로고
    • Collision of a gas atom with a cold surface
    • Zwanzig R. Collision of a gas atom with a cold surface. J. Chem. Phys. 1960, 32:1173-1177.
    • (1960) J. Chem. Phys. , vol.32 , pp. 1173-1177
    • Zwanzig, R.1
  • 18
    • 0039406707 scopus 로고
    • Teaching the renormalization group
    • Maris H., Kadanoff L. Teaching the renormalization group. Am. J. Phys. 1978, 46:652-657.
    • (1978) Am. J. Phys. , vol.46 , pp. 652-657
    • Maris, H.1    Kadanoff, L.2
  • 19
    • 2542506478 scopus 로고    scopus 로고
    • Stochastic mode reduction for the immersed boundary method
    • Kramer P.R., Majda A.J. Stochastic mode reduction for the immersed boundary method. SIAM J. Appl. Math 2003, 64(2):369-400.
    • (2003) SIAM J. Appl. Math , vol.64 , Issue.2 , pp. 369-400
    • Kramer, P.R.1    Majda, A.J.2
  • 20
    • 51749091068 scopus 로고    scopus 로고
    • Numerical and statistical methods for the coarse-graining of many-particle stochastic systems
    • Katsoulakis M.A., Plechac P., Rey-Bellet L. Numerical and statistical methods for the coarse-graining of many-particle stochastic systems. J. Sci. Comput. 2008, 37(1):43-71.
    • (2008) J. Sci. Comput. , vol.37 , Issue.1 , pp. 43-71
    • Katsoulakis, M.A.1    Plechac, P.2    Rey-Bellet, L.3
  • 21
    • 0037417955 scopus 로고    scopus 로고
    • Coarse-grained stochastic processes for microscopic lattice systems
    • Katsoulakis M., Majda A., Vlachos D. Coarse-grained stochastic processes for microscopic lattice systems. Proc. Natl. Acad. Sci. 2003, 100(3):782.
    • (2003) Proc. Natl. Acad. Sci. , vol.100 , Issue.3 , pp. 782
    • Katsoulakis, M.1    Majda, A.2    Vlachos, D.3
  • 22
    • 0037456891 scopus 로고    scopus 로고
    • Coarse-grained stochastic processes and monte carlo simulations in lattice systems
    • Katsoulakis M., Majda A., Vlachos D. Coarse-grained stochastic processes and monte carlo simulations in lattice systems. J. Comput. Phys. 2003, 112:250.
    • (2003) J. Comput. Phys. , vol.112 , pp. 250
    • Katsoulakis, M.1    Majda, A.2    Vlachos, D.3
  • 23
    • 34547927269 scopus 로고    scopus 로고
    • Error analysis of coarse-graining for stochastic lattice dynamics
    • Katsoulakis M., Plechac P., Sopasakis A. Error analysis of coarse-graining for stochastic lattice dynamics. SIAM J. Numer. Anal. 2006, 44(6):2270.
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.6 , pp. 2270
    • Katsoulakis, M.1    Plechac, P.2    Sopasakis, A.3
  • 26
    • 36749107929 scopus 로고
    • Formulas for determining local properties in molecular-dynamics simulations: Shock waves
    • Hardy R. Formulas for determining local properties in molecular-dynamics simulations: Shock waves. J. Chem. Phys. 1982, 76:622-628.
    • (1982) J. Chem. Phys. , vol.76 , pp. 622-628
    • Hardy, R.1
  • 27
    • 0005831509 scopus 로고
    • Die herleitung der grundgleichungen der thermomechnik der kontinua aus der statistischen mechanic
    • Noll W. Die herleitung der grundgleichungen der thermomechnik der kontinua aus der statistischen mechanic. J. Ration. Mech. Anal. 1955, 4(5):627-646.
    • (1955) J. Ration. Mech. Anal. , vol.4 , Issue.5 , pp. 627-646
    • Noll, W.1
  • 28
    • 34547843548 scopus 로고    scopus 로고
    • A critique of atomistic definitions of the stress tensor
    • Murdoch A.I. A critique of atomistic definitions of the stress tensor. J. Elast. 2007, 88:113-140.
    • (2007) J. Elast. , vol.88 , pp. 113-140
    • Murdoch, A.I.1
  • 32
    • 38249027187 scopus 로고
    • An a posteriori parameter choice for tikhonov regularization in the presence of modeling error
    • Neubauer A. An a posteriori parameter choice for tikhonov regularization in the presence of modeling error. Appl. Numer. Math. 1988, 4:507-519.
    • (1988) Appl. Numer. Math. , vol.4 , pp. 507-519
    • Neubauer, A.1
  • 34
    • 0042604698 scopus 로고
    • A method of successive approximations for fredholm integral equations of the first kind
    • Fridman V. A method of successive approximations for fredholm integral equations of the first kind. Uspekhi Mat. Nauk (Russian) 1956, 11:233-234.
    • (1956) Uspekhi Mat. Nauk (Russian) , vol.11 , pp. 233-234
    • Fridman, V.1
  • 35
    • 0000518587 scopus 로고
    • An iteration formula for fredholm integral equations of the first kind
    • Landweber L. An iteration formula for fredholm integral equations of the first kind. Am. J. Math. 1951, 73:615-624.
    • (1951) Am. J. Math. , vol.73 , pp. 615-624
    • Landweber, L.1
  • 36
    • 0002761719 scopus 로고    scopus 로고
    • Deconvolution methods fo subgrid-scale approximation in large-eddy simulaiton
    • in: B. Geurts (Ed.), Modern simulation strategies for turbulent flows
    • N.A. Adams, S. Stolz, Deconvolution methods fo subgrid-scale approximation in large-eddy simulaiton, in: B. Geurts (Ed.), Modern simulation strategies for turbulent flows, 2001, pp. 21-41.
    • (2001) , pp. 21-41
    • Adams, N.A.1    Stolz, S.2
  • 37
    • 0037141110 scopus 로고    scopus 로고
    • A subgrid-scale deconvolution approach for shock capturing
    • Adams N.A., Stolz S. A subgrid-scale deconvolution approach for shock capturing. J. Comput. Phys. 2002, 178(2):391-426.
    • (2002) J. Comput. Phys. , vol.178 , Issue.2 , pp. 391-426
    • Adams, N.A.1    Stolz, S.2
  • 39
    • 0036238457 scopus 로고    scopus 로고
    • Direct modeling of subgrid scales of turbulence in large eddy simulations
    • Domaradzki J.A., Adams N.A. Direct modeling of subgrid scales of turbulence in large eddy simulations. J. Turbul. 2002, 3(24):1-19.
    • (2002) J. Turbul. , vol.3 , Issue.24 , pp. 1-19
    • Domaradzki, J.A.1    Adams, N.A.2
  • 41
    • 22544448703 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics
    • Monaghan J. Smoothed particle hydrodynamics. Rep. Progr. Phys. 2005, 68:1703-1759.
    • (2005) Rep. Progr. Phys. , vol.68 , pp. 1703-1759
    • Monaghan, J.1
  • 42
    • 0031237355 scopus 로고    scopus 로고
    • Modeling low reynolds number incompressible flows using sph
    • Morris J., Fox P., Zhu Y. Modeling low reynolds number incompressible flows using sph. J. Comput. Phys. 1997, 136:214.
    • (1997) J. Comput. Phys. , vol.136 , pp. 214
    • Morris, J.1    Fox, P.2    Zhu, Y.3
  • 43
    • 33749423901 scopus 로고    scopus 로고
    • Pore-scale modeling of immiscible and miscible flows using smoothed particle hydrodynamics
    • Tartakovsky A.M., Meakin P. Pore-scale modeling of immiscible and miscible flows using smoothed particle hydrodynamics. Adv. Water Resour. 2006, 29:1464-1478.
    • (2006) Adv. Water Resour. , vol.29 , pp. 1464-1478
    • Tartakovsky, A.M.1    Meakin, P.2
  • 44
    • 69349085202 scopus 로고    scopus 로고
    • Multi-scale lagrangian particle model for multiphase flows
    • Tartakovsky A.M., Ferris K.F., Meakin P. Multi-scale lagrangian particle model for multiphase flows. Comput. Phys. Commun. 2009, 180:1874-1881.
    • (2009) Comput. Phys. Commun. , vol.180 , pp. 1874-1881
    • Tartakovsky, A.M.1    Ferris, K.F.2    Meakin, P.3
  • 45
    • 33749410322 scopus 로고    scopus 로고
    • Simulation of free-surface flow and injection of fluids into fracture apertures using smoothed particle hydrodynamics
    • Tartakovsky A.M., Meakin P. Simulation of free-surface flow and injection of fluids into fracture apertures using smoothed particle hydrodynamics. Vadose Zone J. 2005, 4(3):848-855.
    • (2005) Vadose Zone J. , vol.4 , Issue.3 , pp. 848-855
    • Tartakovsky, A.M.1    Meakin, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.