An improved hydrodynamics formulation for multiphase flow lattice-boltzmann models

Holdych, DJ; Rovas, D; Georgiadis, JG; Buckius, RO

dc.contributor.author	Holdych, DJ	en
dc.contributor.author	Rovas, D	en
dc.contributor.author	Georgiadis, JG	en
dc.contributor.author	Buckius, RO	en
dc.date.accessioned	2014-03-01T01:13:34Z
dc.date.available	2014-03-01T01:13:34Z
dc.date.issued	1998	en
dc.identifier.issn	0129-1831	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12573
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0032250954&partnerID=40&md5=cd9b15d1b1f4d213be954c52c94156cf	en
dc.subject	Benchmark Flows	en
dc.subject	Galilean Invariance	en
dc.subject	Hydrodynamics	en
dc.subject	Lattice-Boltzmann Simulations	en
dc.subject	Stress Tensor	en
dc.subject	Two-Phase Flow	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	SIMULATION	en
dc.title	An improved hydrodynamics formulation for multiphase flow lattice-boltzmann models	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	Lattice-Boltzmann (LB) models provide a systematic formulation of effective-field computational approaches to the calculation of multiphase flow by replacing the mathematical surface of separation between the vapor and liquid with a thin transition region, across which all magnitudes change continuously. Many existing multiphase models of this sort do not satisfy the rigorous hydrodynamic constitutive laws. Here, we extend the two-dimensional, seven-speed Swift et al. LB model(1) to rectangular grids (nine speeds) by using symbolic manipulation (Mathematica(TM)) and compare the LB model predictions with benchmark problems, in order to evaluate its merits. Particular emphasis is placed on the stress tensor formulation. Comparison with the two-phase analogue of the Couette flow and with a flow involving shear and advection of a droplet surrounded by its vapor reveals that additional terms have to be introduced in the definition of the stress tensor in order to satisfy the Navier-Stokes equation in regions of high density gradients. The use of Mathematica obviates many of the difficulties with the calculations "by-hand," allowing at the same time more flexibility to the computational analyst to experiment with geometrical and physical parameters of the formulation.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Modern Physics C	en
dc.identifier.isi	ISI:000080459500024	en
dc.identifier.volume	9	en
dc.identifier.issue	8	en
dc.identifier.spage	1393	en
dc.identifier.epage	1404	en