메뉴 건너뛰기




Volumn 42, Issue 12, 2003, Pages 1263-1291

PRICE: Primitive centred schemes for hyperbolic systems

Author keywords

Centred methods; Hyperbolic systems; Primitive form; Primitive methods

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MULTIPHASE FLOW; OSCILLATIONS;

EID: 0041819638     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.491     Document Type: Article
Times cited : (37)

References (33)
  • 6
    • 0031280187 scopus 로고    scopus 로고
    • A perturbation solution for Bingham-plastic mudflows
    • Huang X, Garcia M. A perturbation solution for Bingham-plastic mudflows. Journal of Hydraulic Engineering 1997; 123:986-994.
    • (1997) Journal of Hydraulic Engineering , vol.123 , pp. 986-994
    • Huang, X.1    Garcia, M.2
  • 7
    • 0032204470 scopus 로고    scopus 로고
    • A Herschel-Bulkley model for mud flow down a slope
    • Huang X, Garcia M. A Herschel-Bulkley model for mud flow down a slope. Journal of Fluid Mechanics 1998; 374:305-333.
    • (1998) Journal of Fluid Mechanics , vol.374 , pp. 305-333
    • Huang, X.1    Garcia, M.2
  • 12
    • 84946281240 scopus 로고
    • Entropy weak solutions to nonlinear hyperbolic systems under non-conservative form
    • Le-Floch P. Entropy weak solutions to nonlinear hyperbolic systems under non-conservative form. Communications in Partial Differential Equations 1988; 13(6):669-727.
    • (1988) Communications in Partial Differential Equations , vol.13 , Issue.6 , pp. 669-727
    • Le-Floch, P.1
  • 13
    • 0003338927 scopus 로고    scopus 로고
    • Primitive, conservative and adaptive schemes for hyperbolic conservation laws
    • Toro EF, Clarke JF (eds). Kluwer Academic Publishers: Dordrecht
    • Toro EF. Primitive, conservative and adaptive schemes for hyperbolic conservation laws. In Numerical Methods for Wave Propagation. Toro EF, Clarke JF (eds). Kluwer Academic Publishers: Dordrecht, 1998; 323-385.
    • (1998) Numerical Methods for Wave Propagation , pp. 323-385
    • Toro, E.F.1
  • 14
    • 0043073671 scopus 로고    scopus 로고
    • Anomalies of conservative methods: Analysis, numerical evidence and possible cures
    • Toro EF. Anomalies of conservative methods: analysis, numerical evidence and possible cures. Computational Fluid Dynamics Journal 2002; 11(2):128-143.
    • (2002) Computational Fluid Dynamics Journal , vol.11 , Issue.2 , pp. 128-143
    • Toro, E.F.1
  • 15
    • 84968497746 scopus 로고
    • Why non-conservative schemes converge to the wrong solutions: Error analysis
    • Hou TY, LeFloch P. Why non-conservative schemes converge to the wrong solutions: error analysis. Mathematics of Computation 1994; 62:497-530.
    • (1994) Mathematics of Computation , vol.62 , pp. 497-530
    • Hou, T.Y.1    LeFloch, P.2
  • 16
    • 0002443628 scopus 로고
    • Multicomponent flow calculations using a consistent primitive algorithm
    • Karni S. Multicomponent flow calculations using a consistent primitive algorithm. Journal of Computational Physics 1994; 112(1):31-43.
    • (1994) Journal of Computational Physics , vol.112 , Issue.1 , pp. 31-43
    • Karni, S.1
  • 18
    • 0002187037 scopus 로고
    • On the relation between the upwind-differencing schemes of Godunov, Enguist-Osher and Roe
    • van Leer B, On the relation between the upwind-differencing schemes of Godunov, Enguist-Osher and Roe. SIAM Journal on Scientific and Statistical Computing 1984; 5(1):1-20.
    • (1984) SIAM Journal on Scientific and Statistical Computing , vol.5 , Issue.1 , pp. 1-20
    • van Leer, B.1
  • 20
    • 57249099681 scopus 로고    scopus 로고
    • Solution of the generalised Riemann problem for advection-reaction equations
    • Series A
    • Toro EF, Titarev VA. Solution of the generalised Riemann problem for advection-reaction equations. Proceedings of the Royal Society of London, Series A 2002; 458:271-281.
    • (2002) Proceedings of the Royal Society of London , vol.458 , pp. 271-281
    • Toro, E.F.1    Titarev, V.A.2
  • 21
  • 25
    • 0034770469 scopus 로고    scopus 로고
    • Assessment of high resolution centred scheme for the solution of hydrodynamical semiconductor equations
    • Anile AM, Nikiforakis N, Pidatella RM. Assessment of high resolution centred scheme for the solution of hydrodynamical semiconductor equations. SIAM Journal on Scientific and Statistical Computing 2001; 22(5):1533-1548.
    • (2001) SIAM Journal on Scientific and Statistical Computing , vol.22 , Issue.5 , pp. 1533-1548
    • Anile, A.M.1    Nikiforakis, N.2    Pidatella, R.M.3
  • 26
    • 0002376210 scopus 로고    scopus 로고
    • Technical Report MMU-9602, Department of Mathematics and Physics, Manchester Metropolitan University, UK
    • Toro EF. On Glimm-related schemes for conservation laws. Technical Report MMU-9602, Department of Mathematics and Physics, Manchester Metropolitan University, UK, 1996.
    • (1996) On Glimm-Related Schemes for Conservation Laws
    • Toro, E.F.1
  • 27
    • 84981759861 scopus 로고
    • Solution in the large for nonlinear hyperbolic systems of equations
    • Glimm J. Solution in the large for nonlinear hyperbolic systems of equations. Communications on Pure and Applied Mathematics 1965; 18:697-715.
    • (1965) Communications on Pure and Applied Mathematics , vol.18 , pp. 697-715
    • Glimm, J.1
  • 29
    • 0042573002 scopus 로고    scopus 로고
    • Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Preprint Series NI03037-NPA, June
    • Toro EF. Multi-stage predictor-corrector fluxes for hyperbolic equations. Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Preprint Series NI03037-NPA, June 2003.
    • (2003) Multi-stage Predictor-corrector Fluxes for Hyperbolic Equations
    • Toro, E.F.1
  • 30
    • 48349083249 scopus 로고
    • A second order Godunov-type scheme for compressible fluid dynamics
    • Ben-Artzi M, Falcovitz J. A second order Godunov-type scheme for compressible fluid dynamics. Journal of Computational Physics 1984; 55:1-32.
    • (1984) Journal of Computational Physics , vol.55 , pp. 1-32
    • Ben-Artzi, M.1    Falcovitz, J.2
  • 31
    • 0042572999 scopus 로고    scopus 로고
    • Arbitrarily accurate non-oscillatory schemes for a non-linear conservation law
    • Takakura Y, Toro EF. Arbitrarily accurate non-oscillatory schemes for a non-linear conservation law. Computational Fluid Dynamics Journal 2002; 11(1):7-18.
    • (2002) Computational Fluid Dynamics Journal , vol.11 , Issue.1 , pp. 7-18
    • Takakura, Y.1    Toro, E.F.2
  • 33
    • 0023329384 scopus 로고
    • Uniformly high-order accurate nonoscillatory schemes I
    • Harten A, Osher S. Uniformly high-order accurate nonoscillatory schemes I. SIAM Journal on Numerical Analysis 1987; 24(2):279-309.
    • (1987) SIAM Journal on Numerical Analysis , vol.24 , Issue.2 , pp. 279-309
    • Harten, A.1    Osher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.