Exterior ows at low Reynolds numbers: concepts, solutions, and applications

作者: Vincent Heuveline , Peter Wittwer

DOI:

关键词: AlgorithmApplied mathematicsReynolds numberCombined useStructure (category theory)SimplicitySimple (abstract algebra)Computer scienceBasis (linear algebra)Symbolic computationAsymptotic analysis

摘要: We discuss uid structure interaction for exterior ows, Reynolds numbers ranging from about one to several thousand. New applications demand a better quantitative understanding of the details such and this has stimulated revival interest in topic. Astonishingly, spite apparent simplicity low number their precise prediction turns out be numerically demanding even with today's computers. On basis simple examples we review progress that been made over recent years analysis problems through combined use techniques asymptotic analysis, symbolic computation, computational dynamics, open which should able solve presented here.

参考文章(191)
James Sochacki, Robert Kubichek, John George, W. R. Fletcher, Scott Smithson, Absorbing boundary conditions and surface waves Geophysics. ,vol. 52, pp. 60- 71 ,(1987) , 10.1190/1.1442241
Andrew F. Peterson, Absorbing boundary conditions for the vector wave equation Microwave and Optical Technology Letters. ,vol. 1, pp. 62- 64 ,(1988) , 10.1002/MOP.4650010206
Laurence Halpern, Michelle Schatzman, Artificial Boundary Conditions for Incompressible Viscous Flows SIAM Journal on Mathematical Analysis. ,vol. 20, pp. 308- 353 ,(1989) , 10.1137/0520021
Thomas J. Mueller, James D. DeLaurier, AERODYNAMICS OF SMALL VEHICLES Annual Review of Fluid Mechanics. ,vol. 35, pp. 89- 111 ,(2003) , 10.1146/ANNUREV.FLUID.35.101101.161102
S Hill Acquilla, W Sproles Darrell, L Ladson Charles, Jr Cuyler W. Brooks, Computer Program To Obtain Ordinates for NACA Airfoils NASA Langley Technical Report Server. ,(1996)
Guillaume van Baalen, Downstream Asymptotics in Exterior Domains: from Stationary Wakes to Time Periodic Flows Journal of Mathematical Fluid Mechanics. ,vol. 9, pp. 295- 342 ,(2007) , 10.1007/S00021-005-0200-8
George Keith Batchelor, An Introduction to Fluid Dynamics ,(1967)
Lonny L. Thompson, Runnong Huan, Computation of far-field solutions based on exact nonreflecting boundary conditions for the time-dependent wave equation Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 1551- 1577 ,(2000) , 10.1016/S0045-7825(00)00178-X
Phillip P. Brown, Desmond F. Lawler, Sphere Drag and Settling Velocity Revisited Journal of Environmental Engineering. ,vol. 129, pp. 222- 231 ,(2003) , 10.1061/(ASCE)0733-9372(2003)129:3(222)