메뉴 건너뛰기




Volumn 41, Issue 5, 2008, Pages 617-631

An advanced meshless LBIE/RBF method for solving two-dimensional incompressible fluid flows

Author keywords

Incompressible flow; Local boundary integral equation method; Meshless method; Navier Stokes equations; Radial basis functions; Velocity vorticity

Indexed keywords

BANDWIDTH; INTEGRAL EQUATIONS; INTERPOLATION; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; RADIAL BASIS FUNCTION NETWORKS; TWO DIMENSIONAL;

EID: 38549103229     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-007-0219-1     Document Type: Article
Times cited : (52)

References (33)
  • 1
    • 0026241406 scopus 로고
    • Boundary elements for the solution of Navier-Stokes equations
    • Alujevic A, Kuhn G and Skerget P (1991). Boundary elements for the solution of Navier-Stokes equations. Comput Meth Appl Mech Eng 91: 1187-1201
    • (1991) Comput Meth Appl Mech Eng , vol.91 , pp. 1187-1201
    • Alujevic, A.1    Kuhn, G.2    Skerget, P.3
  • 2
    • 38549099921 scopus 로고
    • Experimental and theoritical investigation of backward facing-step flow
    • Armaly BF, Durst F, Perreira JCF and Schonung B (1983). Experimental and theoritical investigation of backward facing-step flow. J Fluid Mech 48: 387-411
    • (1983) J Fluid Mech , vol.48 , pp. 387-411
    • Armaly, B.F.1    Durst, F.2    Perreira, J.C.F.3    Schonung, B.4
  • 3
    • 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
    • 1
    • Atluri SN and Shen S (2002). The meshless local Petrov-Galerkin (MLPG) method: a simple and less-costly alternative to the finite and boundary element method. Comput Meth Appl Mech Eng 3(1): 11-51
    • (2002) Comput Meth Appl Mech Eng , vol.3 , pp. 11-51
    • Atluri, S.N.1    Shen, S.2
  • 4
    • 2042453321 scopus 로고    scopus 로고
    • Approximation of the incompressible Navier-Stokes equations usign orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
    • Codina R and Soto O (2004). Approximation of the incompressible Navier-Stokes equations usign orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes. Comput Meth Appl Mech Eng 193: 1403-1419
    • (2004) Comput Meth Appl Mech Eng , vol.193 , pp. 1403-1419
    • Codina, R.1    Soto, O.2
  • 6
    • 0000198327 scopus 로고
    • Finite-difference methods for calculating steady incompressible flows in three dimensions
    • Dennis SCR, Ingham DB and Cook RN (1979). Finite-difference methods for calculating steady incompressible flows in three dimensions. J Comput Phys 33: 325-339
    • (1979) J Comput Phys , vol.33 , pp. 325-339
    • Dennis, S.C.R.1    Ingham, D.B.2    Cook, R.N.3
  • 7
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia U, Ghia KN and Shin CT (1982). High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J Comput Phys 48: 387-411
    • (1982) J Comput Phys , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 8
    • 2042524350 scopus 로고    scopus 로고
    • A three-level finite element method for the instationary incompressible Navier-Stokes equations
    • Gravemeier V, Wall W and Ramm E (2004). A three-level finite element method for the instationary incompressible Navier-Stokes equations. Comput Meth Appl Mech Eng 193: 1323-1366
    • (2004) Comput Meth Appl Mech Eng , vol.193 , pp. 1323-1366
    • Gravemeier, V.1    Wall, W.2    Ramm, E.3
  • 9
    • 0345148900 scopus 로고    scopus 로고
    • A poly-region boundary element method for incompressible viscous fluid flows
    • Grigoriev MM and Dargush GF (1999). A poly-region boundary element method for incompressible viscous fluid flows. Int J Numer Methods Eng 46: 1127-1158
    • (1999) Int J Numer Methods Eng , vol.46 , pp. 1127-1158
    • Grigoriev, M.M.1    Dargush, G.F.2
  • 10
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular boundary integral equations
    • Guiggiani M, Krishnasamy G, Rudolphi TJ and Rizzo FJ (1992). A general algorithm for the numerical solution of hypersingular boundary integral equations. ASME J Appl Mech 59: 604-614
    • (1992) ASME J Appl Mech , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 11
    • 0023421901 scopus 로고
    • Direct computation of Cauchy principal value integrals in advanced boundary elements
    • Guiggiani M and Casalini P (1987). Direct computation of Cauchy principal value integrals in advanced boundary elements. Int J Numer Methods Eng 24: 1711-1720
    • (1987) Int J Numer Methods Eng , vol.24 , pp. 1711-1720
    • Guiggiani, M.1    Casalini, P.2
  • 12
    • 0000223946 scopus 로고
    • A vorticity-velocity method for the numerical solution of 3D incompressible flows
    • Guj G and Stella F (1993). A vorticity-velocity method for the numerical solution of 3D incompressible flows. J Comput Phys 106: 286-298
    • (1993) J Comput Phys , vol.106 , pp. 286-298
    • Guj, G.1    Stella, F.2
  • 13
    • 0024103507 scopus 로고
    • On finite element approximations of the stream function-vorticity and velocity-vorticity equations
    • Gunzburger MD and Peterson JS (1988). On finite element approximations of the stream function-vorticity and velocity-vorticity equations. Int J Numer Methods Fluids 8: 1229-1240
    • (1988) Int J Numer Methods Fluids , vol.8 , pp. 1229-1240
    • Gunzburger, M.D.1    Peterson, J.S.2
  • 14
    • 0025398857 scopus 로고
    • Finite element solution of the Navier-Stokes equations by a velocity-vorticity method
    • Guevremont G and Habashi WG (1990). Finite element solution of the Navier-Stokes equations by a velocity-vorticity method. Int J Numer Methods Fluids 10: 461-475
    • (1990) Int J Numer Methods Fluids , vol.10 , pp. 461-475
    • Guevremont, G.1    Habashi, W.G.2
  • 15
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988)
    • Hardy RL (1990). Theory and applications of the multiquadrics-biharmonic method (20 years of discovery 1968-1988). Comput Math Appl 19: 163-208
    • (1990) Comput Math Appl , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 16
    • 21044440732 scopus 로고    scopus 로고
    • Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries
    • Hribersek M and Skerget L (2005). Boundary domain integral method for high Reynolds viscous fluid flows in complex planar geometries. Comput Meth Appl Mech Eng 194: 4196-4220
    • (2005) Comput Meth Appl Mech Eng , vol.194 , pp. 4196-4220
    • Hribersek, M.1    Skerget, L.2
  • 17
    • 0036498062 scopus 로고    scopus 로고
    • Numerical comparisons of two meshless methods using radial basis functions
    • Jichun Li, Hon YC and Chen CS (2002). Numerical comparisons of two meshless methods using radial basis functions. Eng Anal Bound Elem 26: 205-225
    • (2002) Eng Anal Bound Elem , vol.26 , pp. 205-225
    • Li, J.1    Hon, Y.C.2    Chen, C.S.3
  • 18
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • 2
    • Lin H and Atluri SN (2001). The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations. Comput Model Eng Sci 2(2): 117-142
    • (2001) Comput Model Eng Sci , vol.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 19
    • 0035546608 scopus 로고    scopus 로고
    • A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM
    • Ma H and Kamiya N (2001). A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM. Eng Anal Bound Elem 25: 833-841
    • (2001) Eng Anal Bound Elem , vol.25 , pp. 833-841
    • Ma, H.1    Kamiya, N.2
  • 20
    • 0036532073 scopus 로고    scopus 로고
    • Distance tranformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
    • Ma H and Kamiya N (2002). Distance tranformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method. Eng Anal Bound Elem 26: 329-339
    • (2002) Eng Anal Bound Elem , vol.26 , pp. 329-339
    • Ma, H.1    Kamiya, N.2
  • 21
    • 30944434045 scopus 로고    scopus 로고
    • A multiscale finite element method for the incompressible Navier-Stokes equations
    • Masud A and Khurram R (2006). A multiscale finite element method for the incompressible Navier-Stokes equations. Comput Meth Appl Mech Eng 195: 1750-1777
    • (2006) Comput Meth Appl Mech Eng , vol.195 , pp. 1750-1777
    • Masud, A.1    Khurram, R.2
  • 22
    • 33745352514 scopus 로고    scopus 로고
    • Analysis of an explicit and matrix free fractional step method for incompressible flows
    • Nithiarasu P and Zienkiewicz OC (2006). Analysis of an explicit and matrix free fractional step method for incompressible flows. Comput Meth Appl Mech Eng 195: 5537-5551
    • (2006) Comput Meth Appl Mech Eng , vol.195 , pp. 5537-5551
    • Nithiarasu, P.1    Zienkiewicz, O.C.2
  • 23
    • 3242721353 scopus 로고    scopus 로고
    • A MLPG (LBIE) method for solving frequency domain elastic problems
    • 6
    • Sellountos EJ and Polyzos D (2003). A MLPG (LBIE) method for solving frequency domain elastic problems. Comput Model Eng Sci 4(6): 619-636
    • (2003) Comput Model Eng Sci , vol.4 , pp. 619-636
    • Sellountos, E.J.1    Polyzos, D.2
  • 24
    • 31244438495 scopus 로고    scopus 로고
    • Delaunay refinement algorithms for triangular mesh generation
    • Shewchuk JR (2002). Delaunay refinement algorithms for triangular mesh generation. Comp Geometry 22: 21-74
    • (2002) Comp Geometry , vol.22 , pp. 21-74
    • Shewchuk, J.R.1
  • 25
    • 0029545784 scopus 로고
    • Boundary-domain integral method using a velocity-vorticity formulation
    • Skerget L and Rek Z (1995). Boundary-domain integral method using a velocity-vorticity formulation. Eng Anal Bound Elem 15: 359-370
    • (1995) Eng Anal Bound Elem , vol.15 , pp. 359-370
    • Skerget, L.1    Rek, Z.2
  • 27
    • 0036937131 scopus 로고    scopus 로고
    • Application of the local boundary integral equation method to boundary value problems
    • 9
    • Sladek J, Sladek V and Atluri SN (2002). Application of the local boundary integral equation method to boundary value problems. Int Appl Mech 38(9): 1025-1043
    • (2002) Int Appl Mech , vol.38 , pp. 1025-1043
    • Sladek, J.1    Sladek, V.2    Atluri, S.N.3
  • 28
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-D meshless methods
    • Wang JG and Liu GR (2002). On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Comp Meth Appl Mech Eng 191: 2611-2630
    • (2002) Comp Meth Appl Mech Eng , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 29
    • 0037143775 scopus 로고    scopus 로고
    • A point interpolation meshless method based on radial basis functions
    • Wang JG and Liu GR (2002). A point interpolation meshless method based on radial basis functions. Int J Numer Methods Eng 54: 1623-1648
    • (2002) Int J Numer Methods Eng , vol.54 , pp. 1623-1648
    • Wang, J.G.1    Liu, G.R.2
  • 30
    • 0032047472 scopus 로고    scopus 로고
    • A local boundary integral equation (LBIE) method in computational mechanics and a meshless discretization approach
    • Zhu T, Zhang JD and Atluri SN (1998). A local boundary integral equation (LBIE) method in computational mechanics and a meshless discretization approach. Comp Mech 21: 223-235
    • (1998) Comp Mech , vol.21 , pp. 223-235
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 31
    • 0032658554 scopus 로고    scopus 로고
    • A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems
    • Zhu T, Zhang JD and Atluri SN (1999). A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems. Eng Anal Bound Elem 23: 375-389
    • (1999) Eng Anal Bound Elem , vol.23 , pp. 375-389
    • Zhu, T.1    Zhang, J.D.2    Atluri, S.N.3
  • 33
    • 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 and Ravnik J (2007). 3-D boundary element-finite element method for velocity-vorticity formulation of the Navier-Stokes equations. Eng Anal Bound Elem 31: 259-266
    • (2007) Eng Anal Bound Elem , vol.31 , pp. 259-266
    • Zunic, Z.1    Hribersek, M.2    Skerget, L.3    Ravnik, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.