메뉴 건너뛰기




Volumn 56, Issue 8, 2008, Pages 1575-1581

A symmetric formulation for flux-limited convection schemes

Author keywords

Bounded; Convection; Discretization; Flux limiter; Higher order; Non linear; TVD

Indexed keywords

GRAPHIC METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 40749148857     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1738     Document Type: Conference Paper
Times cited : (6)

References (17)
  • 1
    • 0021513424 scopus 로고
    • High resolution schemes using flux limiters for hyperbolic conservation laws
    • Sweby PK. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis 1984; 21:995.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 995
    • Sweby, P.K.1
  • 4
    • 0024165638 scopus 로고
    • Curvature-compensated convective transport: SMART, a new boundedness-preserving transport algorithm
    • Gaskell PH, Lau AKC. Curvature-compensated convective transport: SMART, a new boundedness-preserving transport algorithm. International Journal for Numerical Methods in Fluids 1988; 8:617.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 617
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 5
    • 40749090621 scopus 로고    scopus 로고
    • Waterson NP, Deconinck H. A unified approach to the design and application of bounded higher-order convection schemes. In Proceedings of the 9th International Conference on Numerical Methods in Laminar and Turbulent Flow, Atlanta, U.S.A., July 1995, Taylor C, Durbetaki P (eds). Pineridge: Swansea, 1995.
    • Waterson NP, Deconinck H. A unified approach to the design and application of bounded higher-order convection schemes. In Proceedings of the 9th International Conference on Numerical Methods in Laminar and Turbulent Flow, Atlanta, U.S.A., July 1995, Taylor C, Durbetaki P (eds). Pineridge: Swansea, 1995.
  • 6
    • 34248156276 scopus 로고    scopus 로고
    • Design principles for bounded higher-order convection schemes - a unified approach
    • Waterson NP, Deconinck H. Design principles for bounded higher-order convection schemes - a unified approach. Journal of Computational Physics 2007; 224:182.
    • (2007) Journal of Computational Physics , vol.224 , pp. 182
    • Waterson, N.P.1    Deconinck, H.2
  • 8
    • 40749142602 scopus 로고    scopus 로고
    • van Leer B. Upwind difference methods for aerodynamic problems governed by the Euler equations. In AMS-SIAM Summer Seminar, La Jolla, CA, U.S.A., 1983, Engquist BE, Osher S, Somerville RCJ (eds). Lecture in Applied Mathematics, Large-Scale Computations in Fluid Mechanics, 22. American Mathematical Society: Providence, RI, 1985; 327.
    • van Leer B. Upwind difference methods for aerodynamic problems governed by the Euler equations. In AMS-SIAM Summer Seminar, La Jolla, CA, U.S.A., 1983, Engquist BE, Osher S, Somerville RCJ (eds). Lecture in Applied Mathematics, Large-Scale Computations in Fluid Mechanics, vol. 22. American Mathematical Society: Providence, RI, 1985; 327.
  • 9
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics 1983; 49:357.
    • (1983) Journal of Computational Physics , vol.49 , pp. 357
    • Harten, A.1
  • 10
    • 84966244348 scopus 로고
    • Multigrid solution of monotone second-order discretizations of hyperbolic conservation laws
    • Spekreijse SP. Multigrid solution of monotone second-order discretizations of hyperbolic conservation laws. Mathematics of Computation 1987; 49(179):135-155.
    • (1987) Mathematics of Computation , vol.49 , Issue.179 , pp. 135-155
    • Spekreijse, S.P.1
  • 11
    • 0001459708 scopus 로고
    • A method for reducing dispersion in convective difference schemes
    • Fromm JE. A method for reducing dispersion in convective difference schemes. Journal of Computational Physics 1968; 3:176.
    • (1968) Journal of Computational Physics , vol.3 , pp. 176
    • Fromm, J.E.1
  • 12
    • 40749142945 scopus 로고    scopus 로고
    • Roe PL. Some contributions to the modelling of discontinuous flows. In AMS-SIAM Summer Seminar, La Jolla, CA, U.S.A., 1983, Engquist BE, Osher S, Somerville RCJ (eds). Lectures in Applied Mathematics, Large-Scale Computations in Fluid Mechanics, 22(2). American Mathematical Society: Providence, RI, 1985; 163.
    • Roe PL. Some contributions to the modelling of discontinuous flows. In AMS-SIAM Summer Seminar, La Jolla, CA, U.S.A., 1983, Engquist BE, Osher S, Somerville RCJ (eds). Lectures in Applied Mathematics, Large-Scale Computations in Fluid Mechanics, vol. 22(2). American Mathematical Society: Providence, RI, 1985; 163.
  • 14
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. Journal of Computational Physics 1979; 32:101.
    • (1979) Journal of Computational Physics , vol.32 , pp. 101
    • van Leer, B.1
  • 15
    • 34249988639 scopus 로고
    • Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
    • van Leer B. Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme. Journal of Computational Physics 1974; 14:361.
    • (1974) Journal of Computational Physics , vol.14 , pp. 361
    • van Leer, B.1
  • 17
    • 0001554040 scopus 로고
    • Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes
    • Berzins M, Ware JM. Positive cell-centered finite volume discretization methods for hyperbolic equations on irregular meshes. Applied Numerical Mathematics 1995; 16:417.
    • (1995) Applied Numerical Mathematics , vol.16 , pp. 417
    • Berzins, M.1    Ware, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.