메뉴 건너뛰기




Volumn 23, Issue 2, 2008, Pages 127-147

A hybrid multi-region BEM / LBIE-RBF velocity-vorticity scheme for the two-dimensional Navier-Stokes equations

Author keywords

Boundary elements method (BEM) Navier Stokes; Local boundary integral equation (LBIE); Radial basis functions (RBF); RBF discontinuity; Velocity vorticity

Indexed keywords

BOUNDARY ELEMENT METHOD; BOUNDARY INTEGRAL EQUATIONS; INTERPOLATION; NAVIER STOKES EQUATIONS; RADIAL BASIS FUNCTION NETWORKS;

EID: 39349099929     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (30)
  • 1
    • 0026241406 scopus 로고
    • Boundary elements for the solution of NavierStokes equations
    • Alujevic, A.; Kuhn, G.; Skerget, P. (1991): Boundary elements for the solution of NavierStokes equations. Comput Meth Appl Mech Engrg, vol. 91, no. 1-3, pp. 1187-1201.
    • (1991) Comput Meth Appl Mech Engrg , vol.91 , Issue.1-3 , pp. 1187-1201
    • Alujevic, A.1    Kuhn, G.2    Skerget, P.3
  • 2
    • 0042964833 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite and boundary element method
    • Atluri, S.; Shen, S. (2002): The meshless local Petrov-Galerkin (MLPG) method: A simple and less-costly alternative to the finite and boundary element method. Comp Meth Appl Mech Engrg, vol. 3, no. 1,pp. 11-51.
    • (2002) Comp Meth Appl Mech Engrg , vol.3 , Issue.1 , pp. 11-51
    • Atluri, S.1    Shen, S.2
  • 3
    • 0029206422 scopus 로고
    • An analysis of the diffusion-convection problem by the boundary element method
    • Bokota, A.; Iskierka, S. (1995): An analysis of the diffusion-convection problem by the boundary element method. Engng An Bound Elem, vol. 15, pp. 267-275.
    • (1995) Engng An Bound Elem , vol.15 , pp. 267-275
    • Bokota, A.1    Iskierka, S.2
  • 4
    • 0037200003 scopus 로고    scopus 로고
    • A novel finite point method for flow simulation
    • Cheng, M.; Liu, G. R. (2002): A novel finite point method for flow simulation. Int J Num Meth Fluids, vol. 39, no. 12, pp. 1161-1178.
    • (2002) Int J Num Meth Fluids , vol.39 , Issue.12 , pp. 1161-1178
    • Cheng, M.1    Liu, G.R.2
  • 5
    • 0014612601 scopus 로고
    • Reducing the bandwidth of sparse symmetric matrices
    • Cuthill, E.; McKee, J. (1969): Reducing the bandwidth of sparse symmetric matrices. Proc 24th Nat Conf ACM, pp. 157-172.
    • (1969) Proc 24th Nat Conf ACM , pp. 157-172
    • Cuthill, E.1    McKee, J.2
  • 6
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia, U.; Ghia, K.; Shin, C. (1982): High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J. Comput. Physics, vol. 48, pp. 387-411.
    • (1982) J. Comput. Physics , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.2    Shin, C.3
  • 7
    • 0000223946 scopus 로고
    • A vorticity-velocity method for the numerical solution of 3D incompressible flows
    • Guj, G.; Stella, F. (1993): A vorticity-velocity method for the numerical solution of 3D incompressible flows. J Comput Phys, vol. 106, pp. 286-298.
    • (1993) J Comput Phys , vol.106 , pp. 286-298
    • Guj, G.1    Stella, F.2
  • 8
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988)
    • Hardy, R. (1990): Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988). Comput and Math with Appl, vol. 19, pp. 163-208.
    • (1990) Comput and Math with Appl , vol.19 , pp. 163-208
    • Hardy, R.1
  • 9
    • 0029657352 scopus 로고    scopus 로고
    • Iterative methods in solving Navier-Stokes equations by the boundary element method
    • Hribersek, M.; Skerget, L. (1998): Iterative methods in solving Navier-Stokes equations by the boundary element method, Int J Num Meth Engrg, vol. 39, no. 1, pp. 115-139.
    • (1998) Int J Num Meth Engrg , vol.39 , Issue.1 , pp. 115-139
    • Hribersek, M.1    Skerget, L.2
  • 10
    • 21044440732 scopus 로고    scopus 로고
    • Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries
    • Hribersek, M.; Skerget, L. (2005): Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries. Comp Meth Appl Mech Engrg, vol. 194, pp.4196-4220.
    • (2005) Comp Meth Appl Mech Engrg , vol.194 , pp. 4196-4220
    • Hribersek, M.1    Skerget, L.2
  • 11
    • 0036498062 scopus 로고    scopus 로고
    • Numerical comparisons of two meshless methods using radial basis functions
    • Li, J.; Hon, Y.; Chen, C. (2002): Numerical comparisons of two meshless methods using radial basis functions. Engng An Bound Elem, vol. 26,pp. 205-225.
    • (2002) Engng An Bound Elem , vol.26 , pp. 205-225
    • Li, J.1    Hon, Y.2    Chen, C.3
  • 12
    • 0037906184 scopus 로고    scopus 로고
    • The meshless Local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • Lin, H.; Atluri, S. N. (2001 ): The meshless Local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations. CMES: Computer Modeling in Engineering & Sciences, vol. 2, no. 2, pp. 117-142.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , Issue.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 13
    • 0035868199 scopus 로고    scopus 로고
    • Numerical solution of three-dimensional Navier-Stokes equations by a velocity-vorticity method
    • Liu, C. H. (2001): Numerical solution of three-dimensional Navier-Stokes equations by a velocity-vorticity method. Int J Num Meth Fluids, vol. 35, no. 5, pp. 533-557.
    • (2001) Int J Num Meth Fluids , vol.35 , Issue.5 , pp. 533-557
    • Liu, C.H.1
  • 14
    • 1542749194 scopus 로고    scopus 로고
    • Assessment and applications of point interpolation methods for computational mechanics
    • Liu, G.; Gu, Y.; Dai, K. (2004): Assessment and applications of point interpolation methods for computational mechanics. Intern J Num Meth Engrg, vol. 59, no. 10, pp. 1373-1397.
    • (2004) Intern J Num Meth Engrg , vol.59 , Issue.10 , pp. 1373-1397
    • Liu, G.1    Gu, Y.2    Dai, K.3
  • 16
    • 0030294780 scopus 로고    scopus 로고
    • A Finite Point Method in Computational Mechanics. Applications to Convective Transport and Fluid Flow
    • Onate, E.; Idelsohn, S.; Zienkiewicz, O. C.; Taylor, R. L. (1998): A Finite Point Method in Computational Mechanics. Applications to Convective Transport and Fluid Flow. Int J Num Meth Engrng, vol. 39, no. 22, pp. 3839-3866.
    • (1998) Int J Num Meth Engrng , vol.39 , Issue.22 , pp. 3839-3866
    • Onate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 17
    • 84975861802 scopus 로고    scopus 로고
    • An advanced meshless LBIE/RBF method for solving two dimensional incompressible fluid flows
    • to appear
    • Sellountos, E.; Sequeira, A. (2007): An advanced meshless LBIE/RBF method for solving two dimensional incompressible fluid flows. Comp Mech (to appear).
    • (2007) Comp Mech
    • Sellountos, E.1    Sequeira, A.2
  • 19
    • 10644276384 scopus 로고    scopus 로고
    • A MLPG(LBIE) approach in combination with BEM
    • Sellountos, E. J.; Polyzos, D. (2005): A MLPG(LBIE) approach in combination with BEM. Comp Meth Appl Mech Engrg, vol. 194, no. 6-8, pp. 859-875.
    • (2005) Comp Meth Appl Mech Engrg , vol.194 , Issue.6-8 , pp. 859-875
    • Sellountos, E.J.1    Polyzos, D.2
  • 20
    • 15544371314 scopus 로고    scopus 로고
    • Computation of Incompressible Navier-Stokes Equations by Local RBF-based Differential Quadrature Method
    • Shu, C.; Ding, H.; Yeo, K. (2005): Computation of Incompressible Navier-Stokes Equations by Local RBF-based Differential Quadrature Method. CMES: Computer Modeling in Engineering & Sciences, vol. 7, no. 2, pp. 195-205.
    • (2005) CMES: Computer Modeling in Engineering & Sciences , vol.7 , Issue.2 , pp. 195-205
    • Shu, C.1    Ding, H.2    Yeo, K.3
  • 21
    • 17544392558 scopus 로고    scopus 로고
    • Natural convection flows in complex cavities by BEM
    • Skerget, L.; Hribersek, M.; Zunic, Z. (2003): Natural convection flows in complex cavities by BEM. Int J Numer Meth Heat Fluid, vol. 13, no. 5/6, pp. 720-736.
    • (2003) Int J Numer Meth Heat Fluid , vol.13 , Issue.5-6 , pp. 720-736
    • Skerget, L.1    Hribersek, M.2    Zunic, Z.3
  • 22
    • 0029545784 scopus 로고
    • Boundary-domain integral method using a velocity-vorticity formulation
    • Skerget, L.; Rek, Z. (1995): Boundary-domain integral method using a velocity-vorticity formulation. Engrg An Boundary Elements, vol. 15, no. 4, pp. 359-370.
    • (1995) Engrg An Boundary Elements , vol.15 , Issue.4 , pp. 359-370
    • Skerget, L.1    Rek, Z.2
  • 24
    • 0037143775 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • Wang, J.; Liu, G. (2002): A point interpolation meshless method based on radial basis functions. Int J Numer Meth Engng, vol. 54, pp. 1623-1648.
    • (2002) Int J Numer Meth Engng , vol.54 , pp. 1623-1648
    • Wang, J.1    Liu, G.2
  • 25
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-D meshless methods
    • Wang, J.; Liu, G. (2002): On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Comp Meth Appl Mech Engrg, vol. 191, no. 23-24, pp. 2611-2630.
    • (2002) Comp Meth Appl Mech Engrg , vol.191 , Issue.23-24 , pp. 2611-2630
    • Wang, J.1    Liu, G.2
  • 26
    • 29544448768 scopus 로고    scopus 로고
    • Meshless numerical simulation for fully nonlinear water waves
    • Wu, N.-J.; Tsay, T.-K.; Young, D. L. (2005): Meshless numerical simulation for fully nonlinear water waves. Int J Num Meth Fluids, vol. 50, no. 2, pp. 219-234.
    • (2005) Int J Num Meth Fluids , vol.50 , Issue.2 , pp. 219-234
    • Wu, N.-J.1    Tsay, T.-K.2    Young, D.L.3
  • 27
    • 24944522291 scopus 로고    scopus 로고
    • A discrete splitting finite element method for numerical simulations of incompressible Navier-Stokes flows
    • Zhang, K. K. (2005): A discrete splitting finite element method for numerical simulations of incompressible Navier-Stokes flows. Int J Num Meth Engng, vol. 64, no. 3, pp. 285-303.
    • (2005) Int J Num Meth Engng , vol.64 , Issue.3 , pp. 285-303
    • Zhang, K.K.1
  • 28
    • 20844456221 scopus 로고    scopus 로고
    • Finite volume solution of the Navier-Stokes equations in velocity-vorticity formulation
    • Zhu, B. (2005): Finite volume solution of the Navier-Stokes equations in velocity-vorticity formulation. Int J Num Meth Fluids, vol. 48, no. 6, pp.607-629.
    • (2005) Int J Num Meth Fluids , vol.48 , Issue.6 , pp. 607-629
    • Zhu, B.1
  • 29
    • 0003327296 scopus 로고    scopus 로고
    • The Finite Element Method
    • 5fth Ed. B-H Oxford UK
    • Zienkiewicz, O.; Taylor, R. (2000): The Finite Element Method. Volume 3: Fluid Mechanics 5fth Ed. B-H Oxford UK.
    • (2000) Fluid Mechanics , vol.3
    • Zienkiewicz, O.1    Taylor, R.2
  • 30
    • 33846785448 scopus 로고    scopus 로고
    • 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations
    • Zunic, Z.; Hribersek, M.; Skerget, L.; Ravnik, J. (2007): 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations. Engrg An Boundary Elements, vol. 31, no. 3, pp. 259-266.
    • (2007) Engrg An Boundary Elements , vol.31 , Issue.3 , pp. 259-266
    • Zunic, Z.1    Hribersek, M.2    Skerget, L.3    Ravnik, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.