Finite element approximation for single-phase multicomponent flows

Mechanics Research Communications

Volumn 32, Issue 1, 2005, Pages 53-64

  Franceschini, Flávia ^a   Frey, Sérgio ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

Continuum mixture theory; Finite elements in fluids; Multicomponent flows

Indexed keywords

BIOREACTORS; BOUNDARY LAYERS; COMPUTER SIMULATION; CONTINUUM MECHANICS; FINITE ELEMENT METHOD; NEWTONIAN LIQUIDS; NON NEWTONIAN FLOW; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; REYNOLDS NUMBER;

CONTINUUM MIXTURE THEORY; MULTICOMPONENT FLOWS; PETROLEUM FRACTION;

COMPRESSIBLE FLOW;

EID: 8344251020     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2004.04.003     Document Type: Article

References (21)

1. Atkin R.J., Craine R.E. Continuum theories of mixtures: basic theory and historical development.Q. J. Mech. Appl. Math. 29(Pt. 2):1976.
2. Bird R.B. Transport Phenomena. 1960;John Wiley & Sons, New York.
3. Bird R.B., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids. vol. 1:1987;John Wiley & Sons, USA.
4. Brooks A.N., Hughes T.J.R. Streamline upwind/Petrov-Galerkin formulations for convective dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Eng. 32:1982;199-259.
5. Ciarlet P.G. The Finite Element Method for Elliptic Problems. 1978;North Holland, Amsterdam.
6. Curran J.C. A finite-element model of pollution in the Clyde estuary: formulation, validation and utilization. Appl. Math. Model. 5(3):1981;137-142.
7. Franca L.P., Frey S. Stabilized finite element methods: II. The incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Eng. 99:1992;209-233.
8. Franca L.P., Frey S., Hughes T.J.R. Stabilized finite element methods: I. Application to the advective-diffusive model. Comp. Meth. Appl. Mech. Eng. 95:1992;253-276.
9. Franceschini, F., 2002. Modelagem mecânica e aproximação por métodos estabilizados de escoamentos multicomponentes (Mechanical modeling and approximation via stabilized methods for multicomponent flows). Dissertation at PROMEC/UFRGS, Porto Alegre, Brasil, 2002.
10. Geankoplis C.J. Procesos de transporte y operaciones unitarias. second ed. 1995;Compañía Editorial Continental S. A. México.
11. Gurtin M.E. An Introduction to Continuum Mechanics. 1981;Academic Press, New York, USA.
12. Harari I., Franca L.P., Oliveira S. Streamline design of stability parameter for advective-diffusion problems. J. Comput. Phys. 171:2001;115-131.
13. Hughes T.J.R., Franca L.P., Balestra M. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations. Comp. Meth. Appl. Mech. Eng. 59:1986;85-99.
14. Landau L., Lifchitz E. Mécanique des Fluides. 1971;Mir, Moscou.
15. Rachid F.B.F., de Araujo J.H.C., Baptista R.M. Predicting mixing volumes in serial transport in pipelines. J. Fluids Eng. Trans. ASME. 124:2002;528-534.
16. Sampaio R., Williams W.O. Thermodynamics of diffusing mixtures. J. Méch. 1979;18.
17. Slattery J.C. Advanced Transport Phenomena. 1999;Cambridge University Press, USA.
18. Tezduyar T.E., Mittal S., Ray S.E., Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Int. J. Numer. Meth. Fluids. 95:1992;221-242.
19. Tezduyar T.E., Osawa Y. Finite element stabilization parameters computed from element matrices and vectors. Comp. Meth. Appl. Mech. Eng. 190:2000;411-430.
20. Tran-Cahn D., Tran-Cong T. BEM-NN computation of generalized Newtonian flows. Eng. Anal. Bound. Elem. 26:2002;15-28.
21. Truesdell C., Toupin R.A. The classical field theories. Flugge S. Handbuch Der Physic. vol. 3/1:1960;Springer-Verlag, Berlin.