메뉴 건너뛰기




Volumn 57, Issue 6, 2008, Pages 761-792

Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems

Author keywords

Finite elements; Flux corrected transport; High resolution schemes; Implicit time stepping; Newton like solution techniques; Sparse Jacobian evaluation

Indexed keywords

BIOELECTRIC PHENOMENA; COMPUTATIONAL FLUID DYNAMICS; FLUXES; MATERIALS SCIENCE; MATRIX ALGEBRA; NEWTON-RAPHSON METHOD; SOLUTIONS; STANDARDS; TWO DIMENSIONAL;

EID: 47249159785     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1654     Document Type: Article
Times cited : (19)

References (28)
  • 1
    • 33749583060 scopus 로고    scopus 로고
    • Boris JP, Book DL. Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. Journal of Computational Physics 1973; 11:38-69.
    • Boris JP, Book DL. Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works. Journal of Computational Physics 1973; 11:38-69.
  • 2
    • 3743101779 scopus 로고
    • Fully multidimensional flux-corrected transport algorithms for fluids
    • Zalesak ST. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics 1979; 31:335-362.
    • (1979) Journal of Computational Physics , vol.31 , pp. 335-362
    • Zalesak, S.T.1
  • 5
    • 33750616225 scopus 로고    scopus 로고
    • The conception, gestation, birth, and infancy of FCT
    • Kuzmin D, Löhner R, Turek S eds, Springer: Berlin
    • Book DL. The conception, gestation, birth, and infancy of FCT. In Flux-corrected Transport: Principles, Algorithms, and Applications, Kuzmin D, Löhner R, Turek S (eds). Springer: Berlin, 2005; 5-28.
    • (2005) Flux-corrected Transport: Principles, Algorithms, and Applications , pp. 5-28
    • Book, D.L.1
  • 6
    • 33749180817 scopus 로고    scopus 로고
    • Algebraic flux correction I. Scalar conservation laws
    • Kuzmin D, Löhner R, Turek S eds, Springer: Berlin
    • Kuzmin D, Möller M. Algebraic flux correction I. Scalar conservation laws. In Flux-corrected Transport: Principles, Algorithms, and Applications, Kuzmin D, Löhner R, Turek S (eds). Springer: Berlin, 2005; 155-206.
    • (2005) Flux-corrected Transport: Principles, Algorithms, and Applications , pp. 155-206
    • Kuzmin, D.1    Möller, M.2
  • 7
    • 33750613976 scopus 로고    scopus 로고
    • The design of flux-corrected transport (FCT) algorithms for structured grids
    • Kuzmin D, Löhner R, Turek S eds, Springer: Berlin
    • Zalesak ST. The design of flux-corrected transport (FCT) algorithms for structured grids. In Flux-corrected Transport: Principles, Algorithms, and Applications, Kuzmin D, Löhner R, Turek S (eds). Springer: Berlin, 2005; 29-78.
    • (2005) Flux-corrected Transport: Principles, Algorithms, and Applications , pp. 29-78
    • Zalesak, S.T.1
  • 8
    • 0008500149 scopus 로고    scopus 로고
    • Positive finite element schemes based on the flux-corrected transport procedure
    • Bathe KJ ed, Elsevier: Amsterdam
    • Kuzmin D. Positive finite element schemes based on the flux-corrected transport procedure. In Computational Fluid and Solid Mechanics, Bathe KJ (ed.). Elsevier: Amsterdam, 2001; 887-888.
    • (2001) Computational Fluid and Solid Mechanics , pp. 887-888
    • Kuzmin, D.1
  • 12
    • 33750611428 scopus 로고    scopus 로고
    • On the design of general-purpose flux limiters for implicit FEM with a consistent mass matrix
    • Kuzmin D. On the design of general-purpose flux limiters for implicit FEM with a consistent mass matrix. Journal of Computational Physics 2006; 219:513-531.
    • (2006) Journal of Computational Physics , vol.219 , pp. 513-531
    • Kuzmin, D.1
  • 13
    • 38248999778 scopus 로고
    • Computational algorithms for aerodynamic analysis and design
    • Jameson A. Computational algorithms for aerodynamic analysis and design. Applied Numerical Mathematics 1993; 13:383-422.
    • (1993) Applied Numerical Mathematics , vol.13 , pp. 383-422
    • Jameson, A.1
  • 15
    • 35448992479 scopus 로고    scopus 로고
    • Efficient solution techniques for implicit finite element schemes with flux limiters
    • Möller M. Efficient solution techniques for implicit finite element schemes with flux limiters. International Journal for Numerical Methods in Fluids 2007; 55(7):611-635.
    • (2007) International Journal for Numerical Methods in Fluids , vol.55 , Issue.7 , pp. 611-635
    • Möller, M.1
  • 16
    • 0031171877 scopus 로고    scopus 로고
    • Design of an unconditionally stable, positive scheme for the K-̇and two-layer turbulence models
    • Jongen T, Marx YP. Design of an unconditionally stable, positive scheme for the K-̇and two-layer turbulence models. Computers and Fluids 1997; 26(5):469-487.
    • (1997) Computers and Fluids , vol.26 , Issue.5 , pp. 469-487
    • Jongen, T.1    Marx, Y.P.2
  • 20
    • 84966225158 scopus 로고
    • Iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
    • Meijerink JA, van der Vorst HA. Iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Mathematics of Computation 1977; 31:148-162.
    • (1977) Mathematics of Computation , vol.31 , pp. 148-162
    • Meijerink, J.A.1    van der Vorst, H.A.2
  • 22
    • 84982318669 scopus 로고
    • Application of Newton-Krylov methodology to a three-dimensional unstructured Euler code
    • San Diego, CA, June, AIAA Paper 95-1733-CP
    • Nielsen EJ, Anderson WK, Walters RW, Keyes DE. Application of Newton-Krylov methodology to a three-dimensional unstructured Euler code. Proceedings of the 12th AIAA CFD Conference, San Diego, CA, June 1995; AIAA Paper 95-1733-CP.
    • (1995) Proceedings of the 12th AIAA CFD Conference
    • Nielsen, E.J.1    Anderson, W.K.2    Walters, R.W.3    Keyes, D.E.4
  • 24
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • Knoll DA, Keyes DA. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Journal of Computational Physics 2004; 193:357-397.
    • (2004) Journal of Computational Physics , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.A.2
  • 25
    • 0039968151 scopus 로고    scopus 로고
    • An inexact Newton method for systems arising from the finite element method
    • Capon PJ, Jimack PK. An inexact Newton method for systems arising from the finite element method. Applied Mathematics Letters 1997; 10(3):9-12.
    • (1997) Applied Mathematics Letters , vol.10 , Issue.3 , pp. 9-12
    • Capon, P.J.1    Jimack, P.K.2
  • 26
    • 0000314925 scopus 로고    scopus 로고
    • High-resolution conservative algorithms for advection in incompressible flow
    • LeVeque RJ. High-resolution conservative algorithms for advection in incompressible flow. SIAM Journal on Numerical Analysis 1996; 33:627-665.
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , pp. 627-665
    • LeVeque, R.J.1
  • 28
    • 2942653250 scopus 로고    scopus 로고
    • Algorithm 832: UMFPACK V4.3 - an unsymmetric-pattern multifrontal method
    • Davis TA. Algorithm 832: UMFPACK V4.3 - an unsymmetric-pattern multifrontal method. ACM Transactions on Mathematical Software 2004; 30: 196-199.
    • (2004) ACM Transactions on Mathematical Software , vol.30 , pp. 196-199
    • Davis, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.