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Volumn 53, Issue 3, 2012, Pages 608-641

Well-balanced finite volume-augmented Lagrangian method for an integrated Herschel-Bulkley model

Author keywords

Avalanche; Finite volume; Herschel Bulkley; Variational inequality; Viscous shallow water; Well balanced

Indexed keywords

BALANCED PROPERTY; CONSTITUTIVE LAW; DUALITY TECHNIQUES; FINITE VOLUME; FINITE VOLUME DISCRETIZATIONS; FIXED POINT METHODS; HERSCHEL-BULKLEY; HERSCHEL-BULKLEY MODEL; INCLINED PLANES; LAGRANGIAN METHODS; NUMERICAL ALGORITHMS; NUMERICAL SCHEME; NUMERICAL TESTS; SHALLOW FLOW; SHALLOW WATERS; STATIONARY STATE; THIN SHEET; VARIATIONAL INEQUALITIES; VISCOPLASTIC MATERIALS;

EID: 84869882225     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-012-9591-x     Document Type: Article
Times cited : (22)

References (28)
  • 1
    • 33847106785 scopus 로고    scopus 로고
    • Plasticity and geophysical flows: A review
    • Ancey, C.: Plasticity and geophysical flows: a review. J. Non-Newton. Fluid Mech. 142, 4-35 (2007)
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 4-35
    • Ancey, C.1
  • 2
    • 62549083002 scopus 로고    scopus 로고
    • The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes
    • Ancey, C., Cochard, S.: The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes. J. Non-Newton. Fluid Mech. 158(1-3), 18-35 (2009)
    • (2009) J. Non-Newton. Fluid Mech. , vol.158 , Issue.1-3 , pp. 18-35
    • Ancey, C.1    Cochard, S.2
  • 5
    • 0028534347 scopus 로고
    • Upwind methods for hyperbolic conservation laws with source terms
    • Bermúdez, A., Vázquez Cendón, M.E.: Upwind methods for hyperbolic conservation laws with source terms. Comput. Fluids 23(8), 1049-1071 (1994)
    • (1994) Comput. Fluids , vol.23 , Issue.8 , pp. 1049-1071
    • Bermúdez, A.1    Vázquez Cendón, M.E.2
  • 8
    • 84869883411 scopus 로고    scopus 로고
    • Augmented Lagrangian method and compressible visco-plastic flows: Applications to shallow dense avalanches
    • Galdi, G.P., et al. (eds.) Birkhäuser, Basel. doi:10.1007/978-3- 0346-0152-8
    • Bresch, D., Fernandez-Nieto, E.D., Ionescu, I.R., Vigneaux, P.: Augmented Lagrangian method and compressible visco-plastic flows: applications to shallow dense avalanches. In: Galdi, G.P., et al. (eds.) New Directions in Mathematical Fluid Mechanics, Advances in Mathematical Fluid Mechanics, pp. 57-89. Birkhäuser, Basel (2010). doi:10.1007/978-3-0346-0152-8
    • (2010) New Directions in Mathematical Fluid Mechanics, Advances in Mathematical Fluid Mechanics , pp. 57-89
    • Bresch, D.1    Fernandez-Nieto, E.D.2    Ionescu, I.R.3    Vigneaux, P.4
  • 10
    • 37249012023 scopus 로고    scopus 로고
    • On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems
    • Chacón, T., Castro, M.J., Fernández-Nieto, E.D., Parés, C.: On well-balanced finite volume methods for non-conservative non-homogeneous hyperbolic systems. SIAM J. Sci. Comput. 29(3), 1093-1126 (2007)
    • (2007) SIAM J. Sci. Comput. , vol.29 , Issue.3 , pp. 1093-1126
    • Chacón, T.1    Castro, M.J.2    Fernández-Nieto, E.D.3    Parés, C.4
  • 11
    • 33847134718 scopus 로고    scopus 로고
    • On the numerical simulation of Bingham visco-plastic flow: Old and new results
    • Dean, E.J., Glowinski, R., Guidoboni, G.: On the numerical simulation of Bingham visco-plastic flow: old and new results. J. Non-Newton. Fluid Mech. 142, 36-62 (2007)
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 36-62
    • Dean, E.J.1    Glowinski, R.2    Guidoboni, G.3
  • 13
    • 49749132003 scopus 로고    scopus 로고
    • Extension of WAF type methods to non-homogeneous shallow water equations with pollutant
    • Fernández-Nieto, E.D., Narbona-Reina, G.: Extension ofWAF type methods to non-homogeneous shallow water equations with pollutant. J. Sci. Comput. 36, 193-217 (2008)
    • (2008) J. Sci. Comput. , vol.36 , pp. 193-217
    • Fernández-Nieto, E.D.1    Narbona-Reina, G.2
  • 15
    • 0003200255 scopus 로고
    • Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
    • SIAM, Philadelphia
    • Glowinski, R., Le Tallec, P.: Augmented Lagrangian and Operator-splitting Methods in Nonlinear Mechanics. SIAM Studies in Applied Mathematics, vol. 9. SIAM, Philadelphia (1989)
    • (1989) SIAM Studies in Applied Mathematics , vol.9
    • Glowinski, R.1    Le Tallec, P.2
  • 16
    • 78650731177 scopus 로고    scopus 로고
    • On the numerical simulation of viscoplastic fluid flow
    • Glowinski, R., Xu, J. (eds.) Numerical Methods for Non-Newtonian Fluids. Elsevier, Amsterdam
    • Glowinski, R., Wachs, A.: On the numerical simulation of viscoplastic fluid flow. In: Glowinski, R., Xu, J. (eds.) Numerical Methods for Non-Newtonian Fluids. Handbook of Numerical Analysis, vol. 16, pp. 483-717. Elsevier, Amsterdam (2011)
    • (2011) Handbook of Numerical Analysis , vol.16 , pp. 483-717
    • Glowinski, R.1    Wachs, A.2
  • 17
    • 1542576141 scopus 로고    scopus 로고
    • A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
    • Greenberg, J.M., Le Roux, A.-Y.: A well-balanced scheme for the numerical processing of source terms in hyperbolic equations. SIAM J. Numer. Anal. 33(1), 1-16 (1996)
    • (1996) SIAM J. Numer. Anal. , vol.33 , Issue.1 , pp. 1-16
    • Greenberg, J.M.1    Le Roux, A.-Y.2
  • 18
    • 33748586301 scopus 로고
    • Axial flow of a nonlinear viscoplastic fluid through cylindrical pipes
    • Grinchik, I.P., Kim, A.Kh.: Axial flow of a nonlinear viscoplastic fluid through cylindrical pipes. J. Eng. Phys. Thermophys. 23, 1039-1041 (1972)
    • (1972) J. Eng. Phys. Thermophys. , vol.23 , pp. 1039-1041
    • Grinchik, I.P.1    Kim, A.Kh.2
  • 19
    • 0001486106 scopus 로고
    • Measurement of consistency as applied to rubber-benzene solutions
    • Herschel, W.H., Bulkley, T.: Measurement of consistency as applied to rubber-benzene solutions. Am. Soc. Test Proc. 26(2), 621-633 (1926)
    • (1926) Am. Soc. Test Proc. , vol.26 , Issue.2 , pp. 621-633
    • Herschel, W.H.1    Bulkley, T.2
  • 20
    • 0032204470 scopus 로고    scopus 로고
    • A Herschel Bulkley model for mud flow down a slope
    • Huang, X., García, M.H.: A Herschel Bulkley model for mud flow down a slope. J. Fluid Mech. 374, 305-333 (1998)
    • (1998) J. Fluid Mech. , vol.374 , pp. 305-333
    • Huang, X.1    García, M.H.2
  • 21
    • 22544451824 scopus 로고    scopus 로고
    • Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids
    • Huilgol, R.R., You, Z.: Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids. J. Non-Newton. Fluid Mech. 128(2-3), 126-143 (2005)
    • (2005) J. Non-Newton. Fluid Mech. , vol.128 , Issue.2-3 , pp. 126-143
    • Huilgol, R.R.1    You, Z.2
  • 22
    • 0031195239 scopus 로고    scopus 로고
    • Numerical modeling of mudflows
    • Laigle, D., Coussot, P.: Numerical modeling of mudflows. J. Hydraul. Eng. 123(7), 617-623 (1997)
    • (1997) J. Hydraul. Eng. , vol.123 , Issue.7 , pp. 617-623
    • Laigle, D.1    Coussot, P.2
  • 23
    • 0001315315 scopus 로고    scopus 로고
    • Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
    • LeVeque, R.J.: Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm. J. Comput. Phys. 146(1), 346-365 (1998)
    • (1998) J. Comput. Phys. , vol.146 , Issue.1 , pp. 346-365
    • Leveque, R.J.1
  • 24
    • 33847141612 scopus 로고    scopus 로고
    • Two-dimensional dam break flows of Herschel-Bulkley fluids: The approach to the arrested state
    • Matson, G.P., Hogg, A.J.: Two-dimensional dam break flows of Herschel-Bulkley fluids: the approach to the arrested state. J. Non-Newton. Fluid Mech. 142, 79-94 (2007)
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 79-94
    • Matson, G.P.1    Hogg, A.J.2
  • 26
    • 0030195765 scopus 로고    scopus 로고
    • Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane
    • Piau, J.M.: Flow of a yield stress fluid in a long domain. Application to flow on an inclined plane. J. Rheol. 40 (1996)
    • (1996) J. Rheol. , vol.40
    • Piau, J.M.1
  • 27
    • 0003092662 scopus 로고
    • Upwind differencing schemes for hyperbolic conservation laws with source terms
    • Carraso, C., et al. (eds.) Nonlinear Hyperbolic Problems, St. Etienne, 1986. Springer, Berlin
    • Roe, P.L.: Upwind differencing schemes for hyperbolic conservation laws with source terms. In: Carraso, C., et al. (eds.) Nonlinear Hyperbolic Problems, St. Etienne, 1986. Lecture Notes in Math., vol. 1270, pp. 41-51. Springer, Berlin (1987)
    • (1987) Lecture Notes in Math. , vol.1270 , pp. 41-51
    • Roe, P.L.1
  • 28
    • 29944434218 scopus 로고    scopus 로고
    • Effect of bottom curvature on mudflow dynamics: Theory and experiments
    • Siviglia, A., Cantelli, A.: Effect of bottom curvature on mudflow dynamics: theory and experiments. Water Resour. Res. 41(11), 1-17 (2005)
    • (2005) Water Resour. Res. , vol.41 , Issue.11 , pp. 1-17
    • Siviglia, A.1    Cantelli, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.