메뉴 건너뛰기




Volumn 227, Issue 2, 2007, Pages 1411-1427

An energy law preserving C0 finite element scheme for simulating the kinematic effects in liquid crystal dynamics

Author keywords

C0 finite element approximation; Discrete energy law; Liquid crystal flow; Non Newtonian fluids; Singularity dynamics

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; NEMATIC LIQUID CRYSTALS; NON NEWTONIAN FLOW; NON NEWTONIAN LIQUIDS;

EID: 36148961651     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.09.005     Document Type: Article
Times cited : (74)

References (22)
  • 1
    • 0024665550 scopus 로고
    • Relaxation and gradient methods for molecular orientation in liquid crystals
    • Cohen R., Lin S.Y., and Luskin M. Relaxation and gradient methods for molecular orientation in liquid crystals. Comput. Phys. Commun. 53 (1989) 455-465
    • (1989) Comput. Phys. Commun. , vol.53 , pp. 455-465
    • Cohen, R.1    Lin, S.Y.2    Luskin, M.3
  • 2
    • 0035382413 scopus 로고    scopus 로고
    • Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals
    • Du Q., Guo B.Y., and Shen J. Fourier spectral approximation to a dissipative system modeling the flow of liquid crystals. SIAM J. Numer. Anal. 39 3 (2001) 735-762
    • (2001) SIAM J. Numer. Anal. , vol.39 , Issue.3 , pp. 735-762
    • Du, Q.1    Guo, B.Y.2    Shen, J.3
  • 3
    • 85190571782 scopus 로고    scopus 로고
    • F. Hecht, O. Pironneau, A. Le Hyaric, K. Ohtsuka, FreeFem++ (Version 2.17-1), 2007 (http://www.freefem.org/ff++/ftp/freefem++doc.pdf).
  • 5
    • 0002742450 scopus 로고
    • Conservation laws for liquid crystals
    • Ericksen J. Conservation laws for liquid crystals. Trans. Soc. Rheol. 5 (1961) 22-34
    • (1961) Trans. Soc. Rheol. , vol.5 , pp. 22-34
    • Ericksen, J.1
  • 6
    • 0037447746 scopus 로고    scopus 로고
    • An operator-splitting method for a liquid crystal model
    • Glowinski R., Lin P., and Pan X.B. An operator-splitting method for a liquid crystal model. Comput. Phys. Commun. 152 (2003) 242-252
    • (2003) Comput. Phys. Commun. , vol.152 , pp. 242-252
    • Glowinski, R.1    Lin, P.2    Pan, X.B.3
  • 8
    • 0000670189 scopus 로고
    • The motion of ellipsoidal particles immersed in a viscous fluid
    • Jeffery G.B. The motion of ellipsoidal particles immersed in a viscous fluid. Roy. Soc. Lond. Proc. Ser. A 102 (1922) 161-179
    • (1922) Roy. Soc. Lond. Proc. Ser. A , vol.102 , pp. 161-179
    • Jeffery, G.B.1
  • 9
    • 0020834277 scopus 로고
    • Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation
    • Kuzuu N., and Doi M. Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation. J. Phys. Soc. Jpn. 52 10 (1983) 3486-3494
    • (1983) J. Phys. Soc. Jpn. , vol.52 , Issue.10 , pp. 3486-3494
    • Kuzuu, N.1    Doi, M.2
  • 10
    • 84972525302 scopus 로고
    • A priori estimates for the solutions of difference approximations to parabolic partial differential equations
    • Lees M. A priori estimates for the solutions of difference approximations to parabolic partial differential equations. Duke Math. J. 27 (1960) 297-311
    • (1960) Duke Math. J. , vol.27 , pp. 297-311
    • Lees, M.1
  • 11
    • 84990679341 scopus 로고
    • Nonparabolic dissipative systems, modeling the flow of liquid crystals
    • Lin F.H., and Liu C. Nonparabolic dissipative systems, modeling the flow of liquid crystals. Commun. Pure Appl. Math. 48 (1995) 501-537
    • (1995) Commun. Pure Appl. Math. , vol.48 , pp. 501-537
    • Lin, F.H.1    Liu, C.2
  • 12
    • 0034376947 scopus 로고    scopus 로고
    • Global existence of solutions for the Ericksen Leslie-system
    • Lin F.H., and Liu C. Global existence of solutions for the Ericksen Leslie-system. Arch. Rat. Mech. Anal. 154 2 (2001) 135-156
    • (2001) Arch. Rat. Mech. Anal. , vol.154 , Issue.2 , pp. 135-156
    • Lin, F.H.1    Liu, C.2
  • 14
    • 0012150867 scopus 로고    scopus 로고
    • A sequential regularization method for time-dependent incompressible Navier-Stokes equations
    • Lin P. A sequential regularization method for time-dependent incompressible Navier-Stokes equations. SIAM J. Numer. Anal. 34 (1997) 1051-1071
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1051-1071
    • Lin, P.1
  • 15
    • 11244320327 scopus 로고    scopus 로고
    • Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations
    • Lin P., Chen X.Q., and Ong M.T. Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 46 (2004) 1169-1180
    • (2004) Int. J. Numer. Meth. Fluids , vol.46 , pp. 1169-1180
    • Lin, P.1    Chen, X.Q.2    Ong, M.T.3
  • 16
    • 33645888383 scopus 로고    scopus 로고
    • 0 finite element approach
    • 0 finite element approach. J. Comput. Phys. 215 1 (2006) 348-362
    • (2006) J. Comput. Phys. , vol.215 , Issue.1 , pp. 348-362
    • Lin, P.1    Liu, C.2
  • 17
    • 0000002009 scopus 로고    scopus 로고
    • Approximation of liquid crystal flows
    • Liu C., and Walkington N.J. Approximation of liquid crystal flows. SIAM J. Numer. Anal. 37 3 (2000) 725-741
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.3 , pp. 725-741
    • Liu, C.1    Walkington, N.J.2
  • 18
    • 34547547120 scopus 로고    scopus 로고
    • An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals
    • Lin P., and Richter T. An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals. J. Comput. Phys. 225 2 (2007) 2069-2082
    • (2007) J. Comput. Phys. , vol.225 , Issue.2 , pp. 2069-2082
    • Lin, P.1    Richter, T.2
  • 19
    • 0035999311 scopus 로고    scopus 로고
    • Mixed methods for the approximation of liquid crystal flows
    • Liu C., and Walkington N.J. Mixed methods for the approximation of liquid crystal flows. M2AN 36 2 (2002) 205-222
    • (2002) M2AN , vol.36 , Issue.2 , pp. 205-222
    • Liu, C.1    Walkington, N.J.2
  • 20
    • 0035615741 scopus 로고    scopus 로고
    • An Eulerian description of fluids containing visco-hyperelastic particles
    • Liu C., and Walkington N.J. An Eulerian description of fluids containing visco-hyperelastic particles. Arch. Ration. Mech. Anal. 159 (2001) 229-252
    • (2001) Arch. Ration. Mech. Anal. , vol.159 , pp. 229-252
    • Liu, C.1    Walkington, N.J.2
  • 21
    • 85190569911 scopus 로고    scopus 로고
    • C. Liu, J. Shen, X. Yang. Dynamics of defect motion in nematic liquid crystal flow: modeling and numerical simulation, preprint, 2006.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.