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Volumn 156, Issue 2, 1999, Pages 209-240

An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries

Author keywords

Cartesian grid method; Finite volume method; Immersed boundaries; Viscous incompressible flow

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONJUGATE GRADIENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL OPERATORS; TURBULENT FLOW;

EID: 0000084316     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6356     Document Type: Article
Times cited : (710)

References (43)
  • 1
    • 0031215973 scopus 로고    scopus 로고
    • A Cartesian grid projection method for the incompressible Euler equations in complex geometries
    • A. S. Almgren, J. B. Bell, P. Colella, and T. Marthaler, A Cartesian grid projection method for the incompressible Euler equations in complex geometries, SIAM J. Sci. Comput. 18(5), 1289 (1997).
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.5 , pp. 1289
    • Almgren, A.S.1    Bell, J.B.2    Colella, P.3    Marthaler, T.4
  • 5
    • 84966233568 scopus 로고
    • Multilevel adaptive solutions to boundary value problems
    • A. Brandt, Multilevel adaptive solutions to boundary value problems, Math. Comput. 31, 333 (1977).
    • (1977) Math. Comput. , vol.31 , pp. 333
    • Brandt, A.1
  • 7
    • 0029239947 scopus 로고
    • Bifurcation for flow past a cylinder between parallel planes
    • J. H. Chen, W. G. Pritchard, and S. J. Tavener, Bifurcation for flow past a cylinder between parallel planes, J. Fluid Mech. 284, 23 (1995).
    • (1995) J. Fluid Mech. , vol.284 , pp. 23
    • Chen, J.H.1    Pritchard, W.G.2    Tavener, S.J.3
  • 8
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A. J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput. 22, 745 (1968).
    • (1968) Math. Comput. , vol.22 , pp. 745
    • Chorin, A.J.1
  • 9
    • 0014938217 scopus 로고
    • Numerical solution for steady flow past a circular cylinder at Reynolds numbers up to 100
    • S. C. R. Dennis and G.-Z. Chang, Numerical solution for steady flow past a circular cylinder at Reynolds numbers up to 100, J. Fluid Mech. 42, 471 (1970).
    • (1970) J. Fluid Mech. , vol.42 , pp. 471
    • Dennis, S.C.R.1    Chang, G.-Z.2
  • 11
    • 0013728985 scopus 로고
    • A numerical study of steady viscous flow past a circular cylinder
    • B. Fornberg, A numerical study of steady viscous flow past a circular cylinder, J. Fluid Mech. 98, 819 (1980).
    • (1980) J. Fluid Mech. , vol.98 , pp. 819
    • Fornberg, B.1
  • 14
    • 28144434823 scopus 로고
    • Modeling of a no-slip surface with and external flow field
    • D. Goldstein, R. Handler, and L. Sirovich, Modeling of a no-slip surface with and external flow field, J. Comput. Phys. 105, 354 (1993).
    • (1993) J. Comput. Phys. , vol.105 , pp. 354
    • Goldstein, D.1    Handler, R.2    Sirovich, L.3
  • 16
    • 0023408690 scopus 로고
    • A finite element study of the onset of vortex shedding in flow past variously shaped bodies
    • C. P. Jackson, A finite element study of the onset of vortex shedding in flow past variously shaped bodies, J. Fluid Mech. 182, 23 (1987).
    • (1987) J. Fluid Mech. , vol.182 , pp. 23
    • Jackson, C.P.1
  • 17
    • 0000849214 scopus 로고    scopus 로고
    • Hydrodynamics of a compound drop with application to Leukocyte modeling
    • H. C. Kan, H. S. Udaykumar, W. Shyy, and R. Tran-Son-Tay. Hydrodynamics of a compound drop with application to Leukocyte modeling, Phys. Fluids 10(4), 760 (1998).
    • (1998) Phys. Fluids , vol.10 , Issue.4 , pp. 760
    • Kan, H.C.1    Udaykumar, H.S.2    Shyy, W.3    Tran-Son-Tay, R.4
  • 18
    • 0028485385 scopus 로고    scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R. J. Leveque and Z. Li, The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM J. Numer. Anal. 31(4), 1019.
    • SIAM J. Numer. Anal. , vol.31 , Issue.4 , pp. 1019
    • Leveque, R.J.1    Li, Z.2
  • 19
    • 0029141516 scopus 로고
    • Effect of intrinsic three-dimensionality on the lift and drag of nominally two-dimensional cylinders
    • R. Mittal and S. Balachandar, Effect of intrinsic three-dimensionality on the lift and drag of nominally two-dimensional cylinders, Phys. Fluids 7(8), 1841 (1995).
    • (1995) Phys. Fluids , vol.7 , Issue.8 , pp. 1841
    • Mittal, R.1    Balachandar, S.2
  • 20
    • 0030584606 scopus 로고    scopus 로고
    • Direct numerical simulation of flow past elliptic cylinders
    • R. Mittal and S. Balachandar, Direct numerical simulation of flow past elliptic cylinders, J. Comput. Phys. 124, 351 (1996).
    • (1996) J. Comput. Phys. , vol.124 , pp. 351
    • Mittal, R.1    Balachandar, S.2
  • 22
    • 0031176452 scopus 로고    scopus 로고
    • An equal-order velocity-pressure algorithm for incompressible thermal flows
    • C. Nonino and G. Comini, An equal-order velocity-pressure algorithm for incompressible thermal flows, Numer. Heat Transfer Part B 32, 1 (1997).
    • (1997) Numer. Heat Transfer Part B , vol.32 , pp. 1
    • Nonino, C.1    Comini, G.2
  • 24
    • 0346179635 scopus 로고
    • An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
    • R. B. Pember, J. B. Bell, P. Colella, W. Y. Crutchfield, and M. L. Welcome, An adaptive Cartesian grid method for unsteady compressible flow in irregular regions, J. Comput. Phys. 120, 278 (1995).
    • (1995) J. Comput. Phys. , vol.120 , pp. 278
    • Pember, R.B.1    Bell, J.B.2    Colella, P.3    Crutchfield, W.Y.4    Welcome, M.L.5
  • 25
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C. S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys. 25, 220 (1977).
    • (1977) J. Comput. Phys. , vol.25 , pp. 220
    • Peskin, C.S.1
  • 27
    • 0023144640 scopus 로고
    • Benard-von Karman instability: Transient and forced regimes
    • M. Provensal, C. Mathis, and L. Boyer, Benard-von Karman instability: Transient and forced regimes, J. Fluid Mech. 182, 1 (1987).
    • (1987) J. Fluid Mech. , vol.182 , pp. 1
    • Provensal, M.1    Mathis, C.2    Boyer, L.3
  • 28
    • 0028179795 scopus 로고
    • An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies
    • J. J. Quirk, An alternative to unstructured grids for computing gas dynamic flows around arbitrarily complex two-dimensional bodies, Comput. Fluids 23(1), 125 (1994).
    • (1994) Comput. Fluids , vol.23 , Issue.1 , pp. 125
    • Quirk, J.J.1
  • 29
    • 0020844260 scopus 로고
    • Numerical study of the turbulent flow past an airfoil with trailing edge separation
    • C. M. Rhie and W. L. Chow, Numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA J. 21(11), 1525 (1983).
    • (1983) AIAA J. , vol.21 , Issue.11 , pp. 1525
    • Rhie, C.M.1    Chow, W.L.2
  • 30
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free surface and interfacial flow
    • R. Scardovelli and S. Zaleski, Direct numerical simulation of free surface and interfacial flow, Ann. Rev. Fluid Mech. 31, 567 (1999).
    • (1999) Ann. Rev. Fluid Mech. , vol.31 , pp. 567
    • Scardovelli, R.1    Zaleski, S.2
  • 32
    • 0001732610 scopus 로고
    • The discrete continuity equation in primitive variable solutions of incompressible flow
    • F. Sotiropoulos and S. Abdallah, The discrete continuity equation in primitive variable solutions of incompressible flow, J. Comput. Phys. 95, 212 (1991).
    • (1991) J. Comput. Phys. , vol.95 , pp. 212
    • Sotiropoulos, F.1    Abdallah, S.2
  • 33
    • 0000387944 scopus 로고
    • Alternate formulations for the pressure equation Laplacian on a collocated grid for solving the unsteady incompressible Navier-Stokes equations
    • D. Tafti, Alternate formulations for the pressure equation Laplacian on a collocated grid for solving the unsteady incompressible Navier-Stokes equations, J. Comput. Phys. 116, 143 (1995).
    • (1995) J. Comput. Phys. , vol.116 , pp. 143
    • Tafti, D.1
  • 34
    • 84904262350 scopus 로고
    • Experiments on the flow past a circular cylinder at low Reynolds number
    • D. J. Tritton, Experiments on the flow past a circular cylinder at low Reynolds number, J. Fluid Mech. 6, 547 (1959).
    • (1959) J. Fluid Mech. , vol.6 , pp. 547
    • Tritton, D.J.1
  • 35
    • 0029749385 scopus 로고    scopus 로고
    • Elafint: A mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries
    • H. S. Udaykumar, W. Shyy, and M. M. Rao, Elafint: A mixed Eulerian-Lagrangian method for fluid flows with complex and moving boundaries, Int. J. Numer. Methods Fluids 22, 691 (1996).
    • (1996) Int. J. Numer. Methods Fluids , vol.22 , pp. 691
    • Udaykumar, H.S.1    Shyy, W.2    Rao, M.M.3
  • 36
    • 0031281171 scopus 로고    scopus 로고
    • Multiphase dynamics in arbitrary geometries on fixed Cartesian grids
    • H. S. Udaykumar, H.-C. Kan, W. Shyy, and R. Tran-Son-Tay, Multiphase dynamics in arbitrary geometries on fixed Cartesian grids, J. Comput. Phys. 137, 366 (1997).
    • (1997) J. Comput. Phys. , vol.137 , pp. 366
    • Udaykumar, H.S.1    Kan, H.-C.2    Shyy, W.3    Tran-Son-Tay, R.4
  • 37
    • 0347611279 scopus 로고    scopus 로고
    • Solid-liquid phase front computations in the sharp interface limit on fixed grids
    • H. S. Udaykumar, R. Mittal, and W. Shyy, Solid-liquid phase front computations in the sharp interface limit on fixed grids, J. Comput. Phys. 153, 535-574 (1999).
    • (1999) J. Comput. Phys. , vol.153 , pp. 535-574
    • Udaykumar, H.S.1    Mittal, R.2    Shyy, W.3
  • 38
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems
    • H. A. Van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric linear systems, SIAM J. Sci. Statist. Comput. 13, 631 (1992).
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631
    • Van Der Vorst, H.A.1
  • 39
    • 0002430278 scopus 로고
    • A. contribution to the hydrodynamics of lubrication
    • G. H. Wannier, A. contribution to the hydrodynamics of lubrication, Quart. Appl. Math. 8, 1 (1950).
    • (1950) Quart. Appl. Math. , vol.8 , pp. 1
    • Wannier, G.H.1
  • 41
    • 2842535832 scopus 로고    scopus 로고
    • Vortex dynamics in the cylinder wake
    • C. H. K. Williamson, Vortex dynamics in the cylinder wake, Ann. Rev. Fluid Mech. 28, 477 (1996).
    • (1996) Ann. Rev. Fluid Mech. , vol.28 , pp. 477
    • Williamson, C.H.K.1
  • 42
    • 0004773604 scopus 로고    scopus 로고
    • Ph.D. Thesis. Department of Mechanical and Aerospace Engineering, Cornell University
    • J. M. Yusof, Interaction of Massive Particles with Turbulence, Ph.D. Thesis. Department of Mechanical and Aerospace Engineering, Cornell University, 1996.
    • (1996) Interaction of Massive Particles with Turbulence
    • Yusof, J.M.1
  • 43
    • 0002044102 scopus 로고
    • A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in Curvilinear coordinates
    • Y. Zang, R. L. Street, and J. R. Koseff, A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in Curvilinear coordinates, J. Comput. Phys. 114, 18 (1994).
    • (1994) J. Comput. Phys. , vol.114 , pp. 18
    • Zang, Y.1    Street, R.L.2    Koseff, J.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.