메뉴 건너뛰기




Volumn 45, Issue 4, 2010, Pages 321-334

Interpolation functions in the immersed boundary and finite element methods

Author keywords

Convergence test; Fluid structure interaction; Immersed boundary method; Immersed finite element method; Incompressibility

Indexed keywords

COMPUTATIONAL MECHANICS; DELTA FUNCTIONS; FLUID STRUCTURE INTERACTION; INTERPOLATION; NUMERICAL METHODS; TURBULENT FLOW;

EID: 80055015280     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0449-5     Document Type: Article
Times cited : (75)

References (53)
  • 1
    • 0026820445 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces -The dsd/st procedure: I. The concept and the preliminary numerical tests
    • Tezduyar TE, Behr M, Liou J (1992) A new strategy for finite element computations involving moving boundaries and interfaces -The DSD/ST procedure: I. The concept and the preliminary numerical tests. Comput Methods Appl Mech Eng 94:339-351
    • (1992) Comput Methods Appl Mech Eng , vol.94 , pp. 339-351
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 3
    • 0031171755 scopus 로고    scopus 로고
    • 3d simulations of fluid-particle interactions with the number of particles reaching 100
    • Johnson A, Tezduyar TE (1997) 3D simulations of fluid-particle interactions with the number of particles reaching 100. Comput Methods Appl Mech Eng 145(3-4):301-321
    • (1997) Comput Methods Appl Mech Eng , vol.145 , Issue.3-4 , pp. 301-321
    • Johnson, A.1    Tezduyar, T.E.2
  • 4
    • 0032666655 scopus 로고    scopus 로고
    • Advanced mesh generation and update methods for 3d flow simulations
    • Johnson A, Tezduyar TE (1999) Advanced mesh generation and update methods for 3D flow simulations. Comput Mech 23: 130-143
    • (1999) Comput Mech , vol.23 , pp. 130-143
    • Johnson, A.1    Tezduyar, T.E.2
  • 6
    • 0019718251 scopus 로고
    • Lagrangian-eulerian finite element formulation for incompressible viscous flows
    • Hughes TJR, Liu WK, Zimmermann TK (1981) Lagrangian-Eulerian Finite Element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29:329-349
    • (1981) Comput Methods Appl Mech Eng , vol.29 , pp. 329-349
    • Hughes, T.J.R.1    Liu, W.K.2    Zimmermann, T.K.3
  • 7
    • 0020163157 scopus 로고
    • Computer implementation aspects for fluid-structure interaction problems
    • Liu WK, Ma DC (1982) Computer implementation aspects for fluid-structure interaction problems. Comput Methods Appl Mech Eng 31:129-148
    • (1982) Comput Methods Appl Mech Eng , vol.31 , pp. 129-148
    • Liu, W.K.1    Ma, D.C.2
  • 8
    • 0024067463 scopus 로고
    • Viscous flow with large free surface motion
    • Huerta A, Liu WK (1988) Viscous flow with large free surface motion. Comput Methods Appl Mech Eng 69:277-324
    • (1988) Comput Methods Appl Mech Eng , vol.69 , pp. 277-324
    • Huerta, A.1    Liu, W.K.2
  • 9
    • 0024031986 scopus 로고
    • Arbitrary lagrangian-eulerian petrov-galerkin finite elements for nonlinear continua
    • Liu WK, Chang H, Chen J, Belytschko T (1988) Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Comput Methods Appl Mech Eng 68:259-310
    • (1988) Comput Methods Appl Mech Eng , vol.68 , pp. 259-310
    • Liu, W.K.1    Chang, H.2    Chen, J.3    Belytschko, T.4
  • 10
    • 0000347507 scopus 로고    scopus 로고
    • Direct numerical simulations of fluid-solid systems using the arbitrary lagrangian-eulerian technique
    • Hu HH, Patankar NA, Zhu MY (2001) Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique. J Comput Phys 169:427-462
    • (2001) J Comput Phys , vol.169 , pp. 427-462
    • Hu, H.H.1    Patankar, N.A.2    Zhu, M.Y.3
  • 11
    • 0042326137 scopus 로고    scopus 로고
    • Modeling and simulation of fluid structure interaction by meshfree and fem
    • Zhang LT,Wagner G, LiuWK (2003) Modeling and simulation of fluid structure interaction by meshfree and FEM. Commun Numer Methods Eng 19:615-621
    • (2003) Commun Numer Methods Eng , vol.19 , pp. 615-621
    • Zhang, L.T.1    Wagner G Liu, W.K.2
  • 13
    • 0032857504 scopus 로고    scopus 로고
    • A distributed lagrange multiplier/fictitious domainmethod for particulate flows
    • Glowinski R, Pan TW, Hesla TI, Joseph DD (1999) A distributed Lagrange multiplier/fictitious domainmethod for particulate flows. Int J Multiphase Flow 25:755-794
    • (1999) Int J Multiphase Flow , vol.25 , pp. 755-794
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4
  • 14
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow
    • Glowinski R, Pan TW, Hesla TI, Joseph DD, Périaux J (2001) A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow. J Comput Phys 169:427-462
    • (2001) J Comput Phys , vol.169 , pp. 427-462
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Périaux, J.5
  • 15
    • 0035972924 scopus 로고    scopus 로고
    • The extended finite elementmethod for rigid particles in stokes flow
    • Wagner J, Moës N, Liu WK, Belytschko T (2001) The extended finite elementmethod for rigid particles in stokes flow. Int J Numer Methods Eng 51(3):293-313
    • (2001) Int J Numer Methods Eng , vol.51 , Issue.3 , pp. 293-313
    • Wagner, J.1    Moës, N.2    Liu, W.K.3    Belytschko, T.4
  • 16
    • 0037139380 scopus 로고    scopus 로고
    • The extended finite element method (xfem) for solidification problems
    • Chessa J, Smolinski P, Belytschko T (2002) The extended finite element method (XFEM) for solidification problems. Int J Numer Methods Eng 53:1959-1977
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 1959-1977
    • Chessa, J.1    Smolinski, P.2    Belytschko, T.3
  • 17
    • 0037235883 scopus 로고    scopus 로고
    • The extended finite elementmethod for two-phase fluids
    • Chessa J, Belytschko T (2003) The extended finite elementmethod for two-phase fluids. ASME J Appl Mech 70:10-17
    • (2003) ASME J Appl Mech , vol.70 , pp. 10-17
    • Chessa, J.1    Belytschko, T.2
  • 18
    • 49649145203 scopus 로고
    • Flow patterns around heart valves: A numerical method
    • Peskin CS (1972) Flow patterns around heart valves: A numerical method. J Comput Phys 10:252-270
    • (1972) J Comput Phys , vol.10 , pp. 252-270
    • Peskin, C.S.1
  • 19
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin CS (2002) The immersed boundary method. Acta Numer 11:479-517
    • (2002) Acta Numer , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 20
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin CS (1977) Numerical analysis of blood flow in the heart. J Comput Phys 25:220-252
    • (1977) J Comput Phys , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 21
    • 11644292072 scopus 로고
    • Avortexmethod for blood flow through heart valves
    • McCracken MF, Peskin CS (1980) Avortexmethod for blood flow through heart valves. J Comput Phys 35:183-205
    • (1980) J Comput Phys , vol.35 , pp. 183-205
    • McCracken, M.F.1    Peskin, C.S.2
  • 22
    • 0020527726 scopus 로고
    • Computer-assisted design of pivoting-disc prosthetic mitral valves
    • McQueen DM, PeskinCS (1983) Computer-assisted design of pivoting-disc prosthetic mitral valves. J Comput Phys 86:126-135
    • (1983) J Comput Phys , vol.86 , pp. 126-135
    • McQueen, D.M.1    Peskin, C.S.2
  • 23
    • 45149143078 scopus 로고
    • A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid
    • Peskin CS, McQueen DM (1989) A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid. J Comput Phys 81(2):372-405
    • (1989) J Comput Phys , vol.81 , Issue.2 , pp. 372-405
    • Peskin, C.S.1    McQueen, D.M.2
  • 24
    • 0027048596 scopus 로고
    • Cardiac fluid dynamics. Critical reviews in biomedical engineering
    • Peskin CS, McQueen DM (1992) Cardiac fluid dynamics. Critical reviews in biomedical engineering. SIAM J Sci Stat Comput 20(6):451-459
    • (1992) SIAM J Sci Stat Comput , vol.20 , Issue.6 , pp. 451-459
    • Peskin, C.S.1    McQueen, D.M.2
  • 25
    • 0028144286 scopus 로고
    • Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets
    • Peskin CS, McQueen DM (1994) Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets. Am J Physiol 266(1):H319-H328
    • (1994) Am J Physiol , vol.266 , Issue.1
    • Peskin, C.S.1    McQueen, D.M.2
  • 27
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque RJ, Li Z (1994) The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J Numer Anal 31(4):1091-1094
    • (1994) SIAM J Numer Anal , vol.31 , Issue.4 , pp. 1091-1094
    • LeVeque, R.J.1    Li, Z.2
  • 28
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for stokes flow with elastic boundries or surface tension
    • LeVeque RJ, Li Z (1997) Immersed interface methods for stokes flow with elastic boundries or surface tension. SIAM J Sci Comput 18(3):709-735
    • (1997) SIAM J Sci Comput , vol.18 , Issue.3 , pp. 709-735
    • LeVeque, R.J.1    Li, Z.2
  • 29
    • 0034775815 scopus 로고    scopus 로고
    • Immersed interface method for neumann and related problems in two and three dimensions
    • Fogelson AL, Keener JP (2000) Immersed interface method for Neumann and related problems in two and three dimensions. SIAM J Sci Comput 22(5):1630-1654
    • (2000) SIAM J Sci Comput , vol.22 , Issue.5 , pp. 1630-1654
    • Fogelson, A.L.1    Keener, J.P.2
  • 30
    • 2942543066 scopus 로고    scopus 로고
    • An immersed interface method for incompressible navier-stokes equations
    • Lee L, LeVeque RJ (2003) An immersed interface method for incompressible Navier-Stokes equations. SIAM J Sci Comput 25(3):832-856
    • (2003) SIAM J Sci Comput , vol.25 , Issue.3 , pp. 832-856
    • Lee, L.1    LeVeque, R.J.2
  • 31
    • 0001439074 scopus 로고    scopus 로고
    • The immersed interface mehtods for the navier-stokes equations with singular forces
    • Li Z, Lai MC (2001) The immersed interface mehtods for the Navier-Stokes equations with singular forces. J Comput Phys 171:822-842
    • (2001) J Comput Phys , vol.171 , pp. 822-842
    • Li, Z.1    Lai, M.C.2
  • 32
    • 0000550068 scopus 로고    scopus 로고
    • The immersed interface method for nonlinear differential equations with discontinuous coefficients and singular sources
    • Wiegmann A, Bube KP (1998) The immersed interface method for nonlinear differential equations with discontinuous coefficients and singular sources. SIAM J Numer Anal 35(1):177-200
    • (1998) SIAM J Numer Anal , vol.35 , Issue.1 , pp. 177-200
    • Wiegmann, A.1    Bube, K.P.2
  • 33
    • 0009853243 scopus 로고    scopus 로고
    • The explicit-jump immersed interface method: Finite difference methods for pdes with piecewise smooth solutions
    • Wiegmann A, Bube KP (2000) The explicit-jump immersed interface method: finite difference methods for PDEs with piecewise smooth solutions. SIAM J Numer Anal 37(3):827-862
    • (2000) SIAM J Numer Anal , vol.37 , Issue.3 , pp. 827-862
    • Wiegmann, A.1    Bube, K.P.2
  • 34
    • 1842418427 scopus 로고    scopus 로고
    • Extended immersed boundary method using fem and rkpm
    • Wang X, Liu WK (2004) Extended immersed boundary method using FEM and RKPM. Comput Methods Appl Mech Eng 193: 1305-1321
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 1305-1321
    • Wang, X.1    Liu, W.K.2
  • 35
    • 0037401891 scopus 로고    scopus 로고
    • A finite element approach for the immersed boundary method
    • Boffi D, Gastaldi L (2003) A finite element approach for the immersed boundary method. Comput Struct 81:491-501
    • (2003) Comput Struct , vol.81 , pp. 491-501
    • Boffi, D.1    Gastaldi, L.2
  • 36
    • 34248169798 scopus 로고    scopus 로고
    • On the cfl condition for the finite element immersed boundary method
    • Boffi D, Gastaldi L, Heltai L (2007) On the CFL condition for the finite element immersed boundary method. Comput Struct 85:775-783
    • (2007) Comput Struct , vol.85 , pp. 775-783
    • Boffi, D.1    Gastaldi, L.2    Heltai, L.3
  • 39
    • 33750996699 scopus 로고    scopus 로고
    • Rheology of red blood cell aggregation in capillary by computer simulation
    • Liu Y, Liu WK (2006) Rheology of red blood cell aggregation in capillary by computer simulation. J Comput Phys 220:139-154
    • (2006) J Comput Phys , vol.220 , pp. 139-154
    • Liu, Y.1    Liu, W.K.2
  • 40
    • 33646172838 scopus 로고    scopus 로고
    • Stentmodeling using immersed finite element method
    • GayM, Zhang LT, LiuWK (2006) Stentmodeling using immersed finite element method. Comput Methods Appl Mech Eng 195: 4358-4370
    • (2006) Comput Methods Appl Mech Eng , vol.195 , pp. 4358-4370
    • Gay, M.1    Zhang, L.T.2    Liu, W.K.3
  • 42
    • 34547126885 scopus 로고    scopus 로고
    • Immersed finite element method for fluid-structure interactions
    • Zhang LT, Gay M (2007) Immersed finite element method for fluid-structure interactions. J Fluids Struct 23:839-857
    • (2007) J Fluids Struct , vol.23 , pp. 839-857
    • Zhang, L.T.1    Gay, M.2
  • 44
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel method
    • Liu WK, Chen YJ (1995) Wavelet and multiple scale reproducing kernel method. Int J Numer Methods Fluids 21:901-932
    • (1995) Int J Numer Methods Fluids , vol.21 , pp. 901-932
    • Liu, W.K.1    Chen, Y.J.2
  • 45
    • 0036501602 scopus 로고    scopus 로고
    • A parallized meshfree method with boundary enrichment for large-scale cfd
    • Zhang LT, Wagner GJ, Liu WK (2002) A parallized meshfree method with boundary enrichment for large-scale CFD. J Comput Phys 176:483-506
    • (2002) J Comput Phys , vol.176 , pp. 483-506
    • Zhang, L.T.1    Wagner, G.J.2    Liu, W.K.3
  • 46
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • Liu WK, Chen Y, Chang CT, Belytschko T (1996) Advances in multiple scale kernel particle methods. Comput Mech 18(2):73-111
    • (1996) Comput Mech , vol.18 , Issue.2 , pp. 73-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 47
    • 34547099883 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity. Part i: Formulation and theory
    • Li S, Liu WK (1999) Reproducing kernel hierarchical partition of unity. part I: formulation and theory. Comput Methods Appl Mech Eng 145:251-288
    • (1999) Comput Methods Appl Mech Eng , vol.145 , pp. 251-288
    • Li, S.1    Liu, W.K.2
  • 50
    • 33746158503 scopus 로고    scopus 로고
    • An eulerian approach to fluid-structure interaction and goal-oriented mesh adaptation
    • Dunne T (2006) An Eulerian approach to fluid-structure interaction and goal-oriented mesh adaptation. Int J Numer Methods Fluids 51:1017-1039
    • (2006) Int J Numer Methods Fluids , vol.51 , pp. 1017-1039
    • Dunne, T.1
  • 51
    • 38749138110 scopus 로고    scopus 로고
    • A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
    • Zhao H, Freund BJ, Moser DB (2008) A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. J Comput Phys 227:3114-3140
    • (2008) J Comput Phys , vol.227 , pp. 3114-3140
    • Zhao, H.1    Freund, B.J.2    Moser, D.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.