Aplicación de una formulación en elementos finitos a la resolución del flujo en unidades de proceso de aguas residuales
Enviado: 2014-05-06
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|Publicado: 2003-06-01
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Palabras clave:
Elementos Finitos, Navier-Stokes, SUPG, Tratamiento de Aguas
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Armaly B.F., Durst F., Pereira J.C.F. y Schönung B., Experimental and theoretical investigation of backward-facing step flow. J. Fluid Mech. 127 (1983), pp 473-496. https://doi.org/10.1017/S0022112083002839
AWWA. American Water Works Association, American Society of Civil Engineers. Water Treatment Plant Design. McGraw-Hill, (1988).
Babuska I., Error bounds for finite element method, Numerische mathematic 16 (1971), pp 322-333. https://doi.org/10.1007/BF02165003
Benim A. C. y Zinser W., A segregated formulation of Navier-Stokes equations with finite elements. Comput. Methods Appl. Mech. Engrg. 57 (1986) 223-237. https://doi.org/10.1016/0045-7825(86)90015-0
Brezzi F., On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers. Rev. Française Automatique Informatique Reserche Operationnelle, Ser. Rouge Anal. Numér., 8 (R2) (1974), pp 129-151. https://doi.org/10.1051/m2an/197408R201291
Brooks A.N. y Hughes J.R., Streamline Upwind / Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg 32 (1982), pp 199-259. https://doi.org/10.1016/0045-7825(82)90071-8
Carey G. y Oden J., Finite Elements. Prentice-Hall (1984).
Chadwick A. y Morfett J., Hydraulics in Civil Engineering. Allen & Unwin (1986).
Chaudhry M.H., Open Channel flow. Prentice Hall (1999).
Choi H. G., Choi H. y Yoo J.Y., A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods. Comput. Methods Appl. Mech. Engrg. 143 (1997), pp 333-348. https://doi.org/10.1016/S0045-7825(96)01156-5
Espert V., García M., Sancho H. y López A., Modelo matemático bidimensional para el estudio de flujo de agua a través de un decantador rectangular con lamelas. Ingeniería del Agua 3 (1996) pp 16. https://doi.org/10.4995/ia.1996.2701
Franca L. P. y Frey S. L., Stabilized finite element methods: II The incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg 99 (1992), pp 209-233. https://doi.org/10.1016/0045-7825(92)90041-H
Ghia U., Ghia K. N. y Shin C.T., High Re solutions for incompressible flow using the Navier-Stokes equation and the multigrid method. J. Comput. Phys. 48 (1982), pp 387-411. https://doi.org/10.1016/0021-9991(82)90058-4
Hannani S.K., Stanislas M. y Dupont P., Incompressible Navier-Stokes computations with SUPG and GLS formulations- A comparison study. Comput. Methods Appl. Mech. Engrg 124 (1995), pp 153-170. https://doi.org/10.1016/0045-7825(95)00782-V
Kondo N., Third order Finite Element solutions of high Reynolds number flows. Comput. Methods Appl. Mech. Engrg. 112 (1994), pp 227-251. https://doi.org/10.1016/0045-7825(94)90028-0
Kondo N., Third-Order upwind finite element formulations for incompressible viscous flow problems. Comput. Methods Appl. Mech. Engrg. 93 (1991), pp 169-187. https://doi.org/10.1016/0045-7825(91)90150-5
Metcalf & Eddy INC., Ingeniería de aguas residuales, tratamiento, vertido y reutilización. Mc Graw Hill (1995).
Nigro N., Storti M., Idelshon S. y Tezduyar T., Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg.154 (1998), pp 203-228. https://doi.org/10.1016/S0045-7825(97)00129-1
Rodi W., Turbulence models and their application in hydraulics: A state of the art rewiew. Balkema, Rotterdam (1993).
Roe P.L., A survey on upwind differencing techniques. VKI Lecture notes (1989).
Sampaio P. A. B. de, A Petrov-Galerkin formulation for the incompressible Navier-Stokes equations using equal order interpolation for velocity and pressure. Int. J. Numer. Meth. Engrg 31 (1991), pp 1135-1149. https://doi.org/10.1002/nme.1620310608
Taylor C. y Hood P., A numerical solution of the Navier-Stokes equation using FEM technique . Compt. &Fluids I (1973), pp 73-100. https://doi.org/10.1016/0045-7930(73)90027-3
Vellando, P., On the resolution of the Navier-Stokes equations by the Finite Element Method using a SUPG stabilization technique. Application to some wastewater treatment problems. Doctoral Thesis. Universidad de La Coruña. Spain (2001).
Vellando P., Puertas J. y Colominas I., SUPG stabilized finite element resolution of the Navier-Stokes equations. Applications to water treatment engineering. Comput. Methods Appl. Mech. Engrg. 191/51-52 pp. 5889-5912 (2002). https://doi.org/10.1016/S0045-7825(02)00503-0
Weiyan T., Shallow water hydrodinamics. Elsevier (1992).
Zienkiewicz O.C., R.H. Gallagher and P. Hood, Newtonian and non-Newtonian viscous incompressible flow. Temperature induced flows. Finite element solution, J.R. Whiteman, ed. The Mathematics of Finite Elements and Applications II (MAFELAP 1975). Academic Press, London (1976).
Zijl G.P.A.G., y du Toit C.G. A simpler Finite Element solution of the incompressible Navier-Stokes equations. Procceedings of the Second National Symposium on Fluid Dynamics. Vereeniging, (1991), pp 236-250
