The numerical treatment of wet/dry fronts in shallow flows: Application to one-layer and two-layer systems

Mathematical and Computer Modelling

Volumn 42, Issue 3-4, 2005, Pages 419-439

  Castro, M J ^a   Ferreiro Ferreiro, A M ^b   Garcia Rodriguez J A ^b   Gonzalez Vida J M ^a   MaciAs J ^a   Pares C ^a   Elena Vazquez Cendon M ^b  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

Author keywords

1D shallow water equations; Coupled conservation laws; Hyperbolic systems; Lock exchange experiment; Q schemes; Source terms; Two layer flows; Wet dry front

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYER FLOW; FLOW OF FLUIDS; NUMERICAL METHODS; PROBLEM SOLVING; SOLUBILITY;

1D SHALLOW WATER EQUATIONS; COUPLED CONSERVATION LAWS; HYPERBOLIC SYSTEMS; LOCK-EXCHANGE EXPERIMENT; Q-SCHEMES; SOURCE TERMS; TWO-LAYER FLOWS; WET/DRY FRONTS;

SURFACE WAVES;

EID: 26844580881     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.01.016     Document Type: Article

References (20)

1. M.E. Vázquez-Cendón Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry J. Comp. Physics 148 1999 497 526
2. P. García-Navarro, and M.E. Vázquez-Cendón On numerical treatment of the source terms in the shallow water equations Computers and Fluids 29 8 2000 17 45
3. M.J. Castro, J. Macías, and C. Parés A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system Math. Model. and Numer. An. 35 1 2001 107 127
4. P. Brufau Simulación bidimensional de flujos hidrodinámicos transitorios en geometrías irregulares Thesis Doctoral, Univ. de Zaragoza 2000
5. P. Brufau, M.E. Vázquez-Cendón, and García-Navarro A numerical model for the flooding and drying of irregular domain J. Numer. Meth. Fluids 39 2002 247 275
6. A. Ferreiro Resolución y validación experimental del modelo de aguas poco profundas unidimensional incluyendo áreas secas Trabajo de DEA 2002 Universidad de Santiago de Compostela Boston, MA
7. L. Armi The hydraulics of two flowing layers with different densities J. Fluid Mech. 163 1986 27 58
8. L. Armi, and D. Farmer Maximal two-layer exchange through a contraction with barotropic net flow J. Fluid Mech. 164 1986 27 51
9. M.J. Castro, J.A. García-Rodríguez, J. Macías, C. Parés, and M.E. Vázquez-Cendón Two-layer numerical model for solving exchange flows in channels with arbitrary section J. Comput. Physics. 195 2004 202 235
10. J.M. González-Vida Desarrollo de esquemas numéricos para el tratamiento de frentes seco-mojado en sistemas de aguas someras Ph.D. Thesis 2003 Univesidad de Málaga
11. A. Bermúdez, and M.E. Vázquez Upwind methods for hyperbolic conservation laws with source terms Computers and Fluids 23 8 1994 1049 1071
12. M.E. Vázquez-Cendón Estudio de Esquemas Descentrados para su Aplicación a las leyes de Conservación Hiperbólicas con Términos Fuente Ph.D. Thesis 1994 Universidad de Santiago de Compostela
13. P.L. Roe Approximate Riemann solvers, parameter vectors and difference schemes J. Comput. Phys. 43 1981 357 371
14. A. Harten On a class of high resolution total-variation-stable finite-difference schemes SIAM J. of Numer. Anal. 21 1 1984 1 23
15. D. Farmer, and L. Armi Maximal two-layer exchange over a sill and through a combination of a sill and contraction with barotropic flow J. Fluid Mech. 164 1986 53 76
16. M.J. Castro, J. Macías, C. Parés, J.A. Rubal, and M.E. Vázquez Cendón Two-layer numerical model for solving exchange flows through channels with irregular geometry Proceedings of "ECCOMAS 2001" Swansea 2001
17. J. García Lafuente, J.L. Almazán, F. Castillejo, A. Khribeche, and A. Hakimi Sea level in the Strait of Gibraltar: Tides International Hydrographic Review LXVII 1 1990 111 130
18. P.L. Roe Upwinding differenced schemes for hyperbolic conservation laws with source terms Carasso Raviart Serre Proceedings of the Conference on Hyperbolic Problems 1986 Springer 41 51
19. E.F. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction 1997 Springer
20. E.F. Toro, and M.E. Vázquez-Cendón Model hyperbolic systems with source terms: Exact and numerical solutions Proceedings of Godunov Methods: Theory and Applications 2000