A mapping method based on Gaussian quadrature: Application to viscous mixing

Chemical Engineering Research and Design

Volumn 86, Issue 12, 2008, Pages 1410-1422

  Stobiac, Vincent ^a,b   Heniche, Mourad ^a,b   Devals, Christophe ^a,b   Bertrand, François ^a,b   Tanguy, Philippe ^a,b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b DEPARTMENT OF CHEMICAL ENGINEERING   (Canada)

Author keywords

CFD; Finite element method; Gaussian quadrature; Mapping method; Particle tracking; Viscous mixing

Indexed keywords

FEEDING; FINITE ELEMENT METHOD; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; FORECASTING; LAMINAR FLOW; MIXING; TRELLIS CODES;

CFD; GAUSSIAN QUADRATURE; MAPPING METHOD; PARTICLE TRACKING; VISCOUS MIXING;

CONFORMAL MAPPING;

EID: 57049099187     PISSN: 02638762     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cherd.2008.08.017     Document Type: Article

References (21)

1. Anderson P.D., Galaktionov O.S., Peters G.W.M., Van de Vosse F.N., and Meijer H.E.H. Analysis of mixing in three-dimensional time-periodic cavity flows. Journal of Fluid Mechanics 386 (1999) 149-166
2. Anderson P.D., Galaktionov O.S., Peters G.W.M., Meijer H.E.H., and Tucker III C.L. Material stretching in laminar mixing flows: extended mapping technique applied to the journal bearing flow. International Journal for Numerical Methods in Fluids 40 (2002) 189-196
3. Avalosse T., and Crochet M.J. Finite element simulations of mixing. 1. Two-dimensional flow in periodic geometry. American Institute of Chemical Engineering Journal 43 3 (1997) 577-587
4. Bertrand F., Tanguy P.A., and Thibault F. A 3D fictitious domain method for incompressible fluid flow problems. International Journal for Numerical Methods in Fluids 25 (1997) 719-736
5. Coesnon B., Heniche M., Devals C., Bertrand F., and Tanguy P.A. A fast and robust fictitious domain method for modelling viscous flows in complex mixers: the example of propellant make-down. International Journal for Numerical Methods in Fluids 58 4 (2008) 427-449 10.1002/fld.1751
6. Devals C., Heniche M., Bertrand F., Hayes R.E., and Tanguy P.A. A finite element strategy for the solution of interface tracking problems. International Journal for Numerical Methods in Fluids 49 (2005) 1305-1327
7. Fard S.A., Famili N.M., and Anderson P.D. A new adaptation of mapping method to study mixing of multiphase flows in mixers with complex geometries. Computers & Chemical Engineering 32 (2008) 1471-1481
8. Galaktionov O.S., Anderson P.D., Peters G.W.M., and Van de Vosse F.N. An adaptive front tracking technique for three-dimensional transient flows. International Journal for Numerical Methods in Fluids 32 (2000) 201-217
9. Galaktionov O.S., Anderson P.D., Kruijt P.G.M., and Meijer H.E.H. A mapping approach for three-dimensional distributive mixing analysis. Computers & Fluids 30 (2001) 271-289
10. Galaktionov O.S., Anderson P.D., Peters G.W.M., and Meijer H.E.H. Mapping approach for 3D laminar mixing simulations: application to industrial flows. International Journal for Numerical Methods in Fluids 40 (2002) 345-351
11. Galaktionov O.S., Anderson P.D., Peters G.W.M., and Meijer H.E.H. Morphology development in Kenics static mixer (application of the extended mapping method). Canadian Journal of Chemical Engineering 80 (2002) 604-613
12. Gibout S., Le Guer Y., and Schall E. Coupling of a mapping method and a genetic algorithm to optimize mixing efficiency in periodic chaotic flows. Communications in Nonlinear Science and Numerical Simulation 11 (2006) 413-423
13. Glowinski R., Pan T., and Périaux J. A fictitious domain method for Dirichlet problem and applications. Computer Methods Applications in Mechanical Engineering 111 (1994) 283-303
14. Greaves D. Simulation of interface and free surface flows in a viscous fluid using adapting quadtree grids. International Journal for Numerical Methods in Fluids 44 (2004) 1093-1117
15. Heniche M., and Tanguy P.A. A predictor-corrector shooting scheme for tracer trajectory calculations. Proceedings of the Fourth International Conference on CFD in the Oil and Gas, Metallurgical & Process Industries SINTEF/NTNU. June 6-8, 2005, Trondheim, Norway (2005)
16. Heniche M., and Tanguy P.A. A new element-by-element method for trajectory calculations with tetrahedral finite element meshes. International Journal for Numerical Methods in Engineering 67 9 (2006) 1290-1317
17. Kruijt P.G.M., Galaktionov O.S., Anderson P.D., Peters G.W.M., and Meijer H.E.H. Analyzing mixing in periodic flows by distribution matrices: mapping method. American Institute of Chemical Engineering Journal 47 (2001) 1005-1015
18. Le Guer Y., and Schall E. A mapping tool using anisotropic unstructured meshes to study mixing in periodic flows. Chemical Engineering Science 59 (2004) 1459-1472
19. Löhner R. The empty bin: a data structure for spatial search of time-varying data. Communications in Numerical Methods in Engineering 23 (2006) 1111-1119
20. Spencer R.S., and Wiley R.H. The mixing of very viscous liquids. Journal of Colloidal Sciences 6 (1951) 133-145
21. Zienkiewicz O.C., Taylor R.L., and Zhu J.L. The Finite Element Method-Its Basis & Fundamentals. sixth edition (2006), Elsevier Butterworth-Heinemann, Burlington, MA