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Volumn 36, Issue 5, 2012, Pages 633-638

Numerical solution of stokes flow in a circular cavity using mesh-free local RBF-DQ

Author keywords

circular cavity; Local radial basis function based differential quadrature; Mesh free method; Stokes flow

Indexed keywords

CIRCULAR CAVITY; DEPENDENT VARIABLES; DIFFERENTIAL QUADRATURE; FUNCTION APPROXIMATION; HALTON SEQUENCES; IRREGULAR GEOMETRIES; MESH-FREE METHOD; MESHFREE; NUMERICAL INVESTIGATIONS; NUMERICAL SOLUTION; RADIAL BASIS FUNCTION-BASED DIFFERENTIAL QUADRATURES; RADIAL BASIS FUNCTIONS; STOKES FLOWS; TWO-DIMENSIONAL GEOMETRY;

EID: 84855462903     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2011.11.009     Document Type: Article
Times cited : (39)

References (38)
  • 2
    • 0035449463 scopus 로고    scopus 로고
    • Stokes flow in a mixer with changing geometry
    • Matthew D. Finn, and Stephen M. Cox Stokes flow in a mixer with changing geometry J Eng Math 41 2001 75 99
    • (2001) J Eng Math , vol.41 , pp. 75-99
    • Finn, M.D.1    Cox, S.M.2
  • 4
    • 0018911793 scopus 로고
    • Streamline patterns and eddies in low-Reynolds-number flow
    • D.J. Jeffrey, and J.D. Sherwood Streamline patterns and eddies in low-Reynolds-number flow J Fluid Mech 96 1980 315 334
    • (1980) J Fluid Mech , vol.96 , pp. 315-334
    • Jeffrey, D.J.1    Sherwood, J.D.2
  • 5
    • 0002364331 scopus 로고
    • Mixing of high viscosity materials
    • V.W. Uhl, J.B. Gray, Academic London
    • H.F. Irving, and R.L. Saxton Mixing of high viscosity materials V.W. Uhl, J.B. Gray, Mixing, theory and practice vol. 2 1967 Academic London 169 224
    • (1967) Mixing, Theory and Practice , vol.2 , pp. 169-224
    • Irving, H.F.1    Saxton, R.L.2
  • 6
    • 0141625281 scopus 로고
    • Laminar flow and distributive mixing
    • N. Hardy, M.F. Edwards, A.W. Nienow, Butterworth London
    • M.F. Edwards Laminar flow and distributive mixing N. Hardy, M.F. Edwards, A.W. Nienow, Mixing in the process industries 1985 Butterworth London 202 225
    • (1985) Mixing in the Process Industries , pp. 202-225
    • Edwards, M.F.1
  • 7
    • 0025169297 scopus 로고
    • Mixing, chaotic advection, and turbulence
    • J.M. Ottino Mixing, chaotic advection, and turbulence Annu Rev Fluid Mech 22 1990 207 253
    • (1990) Annu Rev Fluid Mech , vol.22 , pp. 207-253
    • Ottino, J.M.1
  • 8
    • 26844562479 scopus 로고    scopus 로고
    • The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders
    • D.L. Young, C.W. Chen, C.M. Fan, K. Murugesan, and C.C. Tsai The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders Eur J Mech B/Fluids 24 2005 703 716
    • (2005) Eur J Mech B/Fluids , vol.24 , pp. 703-716
    • Young, D.L.1    Chen, C.W.2    Fan, C.M.3    Murugesan, K.4    Tsai, C.C.5
  • 13
    • 0024902053 scopus 로고
    • Experiments on mixing due to chaotic advection in a cavity
    • C.W. Leong, and J.M. Ottino Experiments on mixing due to chaotic advection in a cavity J Fluid Mech 209 1989 463 499
    • (1989) J Fluid Mech , vol.209 , pp. 463-499
    • Leong, C.W.1    Ottino, J.M.2
  • 14
    • 0014937742 scopus 로고
    • Low Reynolds number shear flow past a rotating circular cylinder. Part 1. Momentum transfer
    • C.R. Robertson, and A. Acrivos Low Reynolds number shear flow past a rotating circular cylinder. Part 1. Momentum transfer J Fluid Mech 40 1970 685 704
    • (1970) J Fluid Mech , vol.40 , pp. 685-704
    • Robertson, C.R.1    Acrivos, A.2
  • 15
    • 0026798815 scopus 로고
    • Cellular Stokes flow induced by rotation of a cylinder in a closed channel
    • M. Hellou, and M. Coutanceau Cellular Stokes flow induced by rotation of a cylinder in a closed channel J Fluid Mech 236 1992 557 577
    • (1992) J Fluid Mech , vol.236 , pp. 557-577
    • Hellou, M.1    Coutanceau, M.2
  • 18
    • 27744461613 scopus 로고    scopus 로고
    • Transient heat conduction in anisotropic and functionally grade media by local integral equations
    • V. Sladek, J. Sladek, M. Tanaka, and C.H. Zhang Transient heat conduction in anisotropic and functionally grade media by local integral equations Eng Anal Boundary Elem 29 2005 1047 1065
    • (2005) Eng Anal Boundary Elem , vol.29 , pp. 1047-1065
    • Sladek, V.1    Sladek, J.2    Tanaka, M.3    Zhang, C.H.4
  • 19
    • 37849187035 scopus 로고    scopus 로고
    • Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local PetrovGalerkin method
    • J. Sladek, V. Sladek, C. Hellmich, and J. Eberhardsteiner Heat conduction analysis of 3-D axisymmetric and anisotropic FGM bodies by meshless local PetrovGalerkin method Comput Mech 39 2007 323 333
    • (2007) Comput Mech , vol.39 , pp. 323-333
    • Sladek, J.1    Sladek, V.2    Hellmich, C.3    Eberhardsteiner, J.4
  • 20
    • 39749194038 scopus 로고    scopus 로고
    • Simulation of Stokes flow over microelectrodes with least-squares meshfree method
    • Z.C. Xuan, and X.K. Zhang Simulation of Stokes flow over microelectrodes with least-squares meshfree method Simulation Modelling Pract Theory 16 2008 294 314
    • (2008) Simulation Modelling Pract Theory , vol.16 , pp. 294-314
    • Xuan, Z.C.1    Zhang, X.K.2
  • 22
    • 84968515237 scopus 로고
    • Scattered data interpolation: Tests of some methods
    • R. Franke Scattered data interpolation: tests of some methods Math Comp 38 1982 181 199
    • (1982) Math Comp , vol.38 , pp. 181-199
    • Franke, R.1
  • 23
    • 0025229330 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics - I. Surface approximations and partial derivative estimates
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics - I. Surface approximations and partial derivative estimates Comput Math Appl 19 1990 127 145
    • (1990) Comput Math Appl , vol.19 , pp. 127-145
    • Kansa, E.J.1
  • 24
    • 0025210711 scopus 로고
    • Multiquadrics - A scattered data approximation scheme with applications to computational fluid dynamics - II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations
    • E.J. Kansa Multiquadrics - a scattered data approximation scheme with applications to computational fluid dynamics - II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations Comput Math Appl 19 68 1990 147 161
    • (1990) Comput Math Appl , vol.19 , Issue.68 , pp. 147-161
    • Kansa, E.J.1
  • 25
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis function-based differential quadrature method and its application to solve two dimensional incompressible NavierStokes equations
    • C. Shu, H. Ding, and K.S. Yeo Local radial basis function-based differential quadrature method and its application to solve two dimensional incompressible NavierStokes equations Comput Methods Appl Mech Eng 192 2003 941 954
    • (2003) Comput Methods Appl Mech Eng , vol.192 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 26
    • 22244445528 scopus 로고    scopus 로고
    • Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments
    • H. Ding, C. Shu, and D.B. Tang Error estimates of local multiquadric-based differential quadrature (LMQDQ) method through numerical experiments Int J Numer Methods Eng 63 2005 1513 1529
    • (2005) Int J Numer Methods Eng , vol.63 , pp. 1513-1529
    • Ding, H.1    Shu, C.2    Tang, D.B.3
  • 27
    • 14944367215 scopus 로고    scopus 로고
    • An upwind local RBF-DQ method for simulation of inviscid compressible flows
    • C. Shu, H. Ding, H.Q. Chen, and T.G. Wang An upwind local RBF-DQ method for simulation of inviscid compressible flows Comput Methods Appl Mech Eng 194 2005 2001 2017
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 2001-2017
    • Shu, C.1    Ding, H.2    Chen, H.Q.3    Wang, T.G.4
  • 28
    • 0002800312 scopus 로고
    • Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
    • R.E. Bellman, B.G. Kashef, and J. Casti Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations J Comput Phys 10 1972 40 52
    • (1972) J Comput Phys , vol.10 , pp. 40-52
    • Bellman, R.E.1    Kashef, B.G.2    Casti, J.3
  • 30
    • 79961024496 scopus 로고    scopus 로고
    • Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method
    • S. Soleimani, A. Qajarjazi, H. Bararnia, A. Barari, and G. Domairry Entropy generation due to natural convection in a partially heated cavity by local RBF-DQ method Meccanica 46 2011 1023 1033
    • (2011) Meccanica , vol.46 , pp. 1023-1033
    • Soleimani, S.1    Qajarjazi, A.2    Bararnia, H.3    Barari, A.4    Domairry, G.5
  • 31
    • 79956324540 scopus 로고    scopus 로고
    • Numerical simulation of electric field in complex geometries for different electrode arrangements using meshless local MQ-DQ method
    • M. Jalaal, Soleimani Soheil, G. Domairry, E. Ghasemi, H. Bararnia, and F. Mohammadi Numerical simulation of electric field in complex geometries for different electrode arrangements using meshless local MQ-DQ method J Electrostat 69 2011 168 175
    • (2011) J Electrostat , vol.69 , pp. 168-175
    • Jalaal, M.1    Soheil, S.2    Domairry, G.3    Ghasemi, E.4    Bararnia, H.5    Mohammadi, F.6
  • 33
    • 77956614738 scopus 로고    scopus 로고
    • Mohammadi, Numerical simulation of joule heating phenomenon using meshless RBF-DQ method
    • H. Bararnia, M. Jalaal, E. Ghasemi, D.D. Soheil Soleimani, and F. Ganji Mohammadi, Numerical simulation of joule heating phenomenon using meshless RBF-DQ method Int J Therm Sci 49 2010 2117 2127
    • (2010) Int J Therm Sci , vol.49 , pp. 2117-2127
    • Bararnia, H.1    Jalaal, M.2    Ghasemi, E.3    Soheil Soleimani, D.D.4    Ganji, F.5
  • 34
    • 79955154895 scopus 로고    scopus 로고
    • Meshless local RBF-DQ for 2-D heat conduction: A comparative study
    • S. Soleimani, D.D. Ganji, E. Ghasemi, M. Jalaal, and H. Bararnia Meshless local RBF-DQ for 2-D heat conduction: a comparative study Therm Sci 15 2011 117 121
    • (2011) Therm Sci , vol.15 , pp. 117-121
    • Soleimani, S.1    Ganji, D.D.2    Ghasemi, E.3    Jalaal, M.4    Bararnia, H.5
  • 35
    • 0042342414 scopus 로고    scopus 로고
    • Development of least-square-based two dimensional finite-difference schemes and their application to simulate natural convection in a cavity
    • H. Ding, C. Shu, K.S. Yeo, and D. Xu Development of least-square-based two dimensional finite-difference schemes and their application to simulate natural convection in a cavity Comput Fluids 33 2004 137 154
    • (2004) Comput Fluids , vol.33 , pp. 137-154
    • Ding, H.1    Shu, C.2    Yeo, K.S.3    Xu, D.4
  • 36
    • 13844272681 scopus 로고    scopus 로고
    • Simulation of natural convection in eccentric annuli between a square outer cylinder and a circular inner cylinder using local MQ-DQ method
    • H. Ding, C. Shu, K.S. Yeo, and Z.L. Lu Simulation of natural convection in eccentric annuli between a square outer cylinder and a circular inner cylinder using local MQ-DQ method Numer Heat Trans Part A 47 2005 291 313
    • (2005) Numer Heat Trans Part A , vol.47 , pp. 291-313
    • Ding, H.1    Shu, C.2    Yeo, K.S.3    Lu, Z.L.4
  • 38
    • 33750103091 scopus 로고    scopus 로고
    • Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation
    • D.L. Young, C.L. Chiu, C.M. Fan, C.C. Tsai, and Y.C. Lin Method of fundamental solutions for multidimensional Stokes equations by the dual-potential formulation Eur J Mech B/Fluids 25 2006 877 893
    • (2006) Eur J Mech B/Fluids , vol.25 , pp. 877-893
    • Young, D.L.1    Chiu, C.L.2    Fan, C.M.3    Tsai, C.C.4    Lin, Y.C.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.