Galerkin finite element method for incompressible thermofluid flows framed within the bond graph theory

Simulation Modelling Practice and Theory

Volumn 17, Issue 1, 2009, Pages 35-49

  Balino J L ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Bond graphs; Computational fluid dynamics; Finite elements; Galerkin method; Incompressible flow

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL FLUID DYNAMICS; DYNAMICS; ENTROPY; FINITE ELEMENT METHOD; FLOW OF FLUIDS; FLUID DYNAMICS; GALERKIN METHODS; INCOMPRESSIBLE FLOW; NUMERICAL ANALYSIS; PROBABILITY DENSITY FUNCTION; THERMOGRAPHY (TEMPERATURE MEASUREMENT); TOPOLOGY; VECTORS; VELOCITY;

BOND GRAPH THEORIES; BOND GRAPHS; CONTINUITY EQUATIONS; ENERGY EQUATIONS; ENTROPY RATES; FINITE ELEMENTS; FLOW SOURCES; GALERKIN FINITE ELEMENT METHODS; INCOMPRESSIBLE FLUID FLOWS; INDEPENDENT VARIABLES; INTERPOLATION FUNCTIONS; MECHANICAL ENERGIES; NODAL VALUES; PER UNIT VOLUMES; STATE VARIABLES; VELOCITY FIELDS; VISCOUS DISSIPATIONS; WEAK FORMULATIONS;

GRAPH THEORY;

EID: 56349099882     PISSN: 1569190X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.simpat.2007.11.002     Document Type: Article

References (18)

1. J.L. Baliño, Bond-graph approach for computational fluid dynamics: a comparison with other numerical methods, in: Second IEEE International Conference on System, Man and Cybernetics (SMC'02), Paper TA1B3, vol. 6, 2002, ISBN 0-7803-7438-X (in CD, IEEE No. 02CH37349C).
2. Baliño J.L. Bond-graph formulation of CFD problems with constant piecewise shape functions. International Journal of Heat and Technology 21 1 (2003) 59-66
3. J.L. Baliño, BG-CFD methodology for multicomponent solutions. Part I: multivelocity model, in: 2003 International Conference on Bond Graph Modeling and Simulation (ICBGM'2003), The Society for Computer Simulation, 2003, pp. 41-46.
4. J.L. Baliño, BG-CFD methodology for multicomponent solutions. Part II: diffusion model, in: 2003 International Conference on Bond Graph Modeling and Simulation (ICBGM'2003), The Society for Computer Simulation, 2003, pp. 47-52.
5. J.L. Baliño, Bond graph modeling of incompressible flows, in: 17th IMACS World Congress, Scientific Computation, Applied Mathematics and Simulation (IMACS 2005), vol. 8, 2005, ISBN 2-915913-02-1 (in CD).
6. Baliño J.L., Larreteguy A.E., and Gandolfo E.F. A general bond graph approach for computational fluid dynamics. Simulation Modelling Practice and Theory 14 (2006) 804-908
7. J.L. Baliño, Modeling one-dimensional incompressible duct flows, in: Proceedings of the 20th European Conference on Modelling and Simulation (ECMS 2006), 2006, pp. 657-662, ISBN 0-9553018-1-5 (in CD).
8. Borutzky W. Bond Graphs A Methodology for Modelling Multidisciplinary Dynamic Systems (2004), SCS Publishing House. 3-936150-33-8
9. Cellier F.E. Continuous System Modeling (1991), Springer-Verlag. 0-387-97502-0
10. Callen H.B. Thermodynamics (1960), John Wiley & Sons, Inc. 0-471-13036-2
11. Cuvelier C., Segal A., and van Steenhoven A.A. Finite Element Methods and Navier-Stokes Equations (1986), D. Reidel Publishing Company, Holland
12. Drew D.A., and Passman S.L. Theory of Multicomponent Fluids (1999), Springer-Verlag, New York. 0-387-98380-5
13. Fahrenthold E.P., and Venkataraman M. Eulerian bond graphs for fluid continuum dynamics modeling. ASME Journal of Dynamic Systems, Measurement, and Control 118 (1996) 48-57
14. E.F. Gandolfo, A.E. Larreteguy, J.L. Baliño, A general bond graph approach for computational fluid dynamics, Part II: applications, in: 2001 International Conference on Bond Graph Modeling and Simulation (ICBGM'2001), The Society for Computer Simulation, 2001, pp. 47-52, ISBN 1-56555-221-0.
15. E.F. Gandolfo Raso, A.E. Larreteguy, J.L. Baliño, Bond-graph modeling of 1-D compressible flows, in: Second IEEE International Conference on System, Man and Cybernetics (SMC'02), Paper TA1B4, 2002, p. 6, ISBN 0-7803-7438-X (in CD, IEEE No. 02CH37349C, ISBN 0-7803-7438-X).
16. Gawthrop P.J., and Smith L.P.S. Metamodelling: Bond Graphs and Dynamic Systems (1996), Prentice-Hall. 0134898249
17. Karnopp D.C., Margolis D.L., and Rosenberg R.C. System Dynamics. Modeling and Simulation of Mechatronic System. third ed. (2000), Wiley Interscience. 0-471-33301-8
18. Tannehill J.C., Anderson D.A., and Pletcher R.H. Computational Fluid Mechanics and Heat Transfer (1997), Taylor & Francis. 1-56032-046-X