A finite volume approach in the simulation of viscoelastic expansion flows

Missirlis, KA; Assimacopoulos, D; Mitsoulis, E

dc.contributor.author	Missirlis, KA	en
dc.contributor.author	Assimacopoulos, D	en
dc.contributor.author	Mitsoulis, E	en
dc.date.accessioned	2014-03-01T01:13:31Z
dc.date.available	2014-03-01T01:13:31Z
dc.date.issued	1998	en
dc.identifier.issn	0377-0257	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12528
dc.subject	expansion flows	en
dc.subject	UCM constitutive equation	en
dc.subject	viscoelasticity	en
dc.subject	upwinding	en
dc.subject	finite-volume method	en
dc.subject	non-staggered grid	en
dc.subject.classification	Mechanics	en
dc.subject.other	flow	en
dc.subject.other	mathematical model	en
dc.subject.other	simulation	en
dc.subject.other	Algorithms	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Computer simulation	en
dc.subject.other	Finite volume method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Non Newtonian flow	en
dc.subject.other	Problem solving	en
dc.subject.other	Stress analysis	en
dc.subject.other	Stress relaxation	en
dc.subject.other	Velocity	en
dc.subject.other	Viscoelasticity	en
dc.subject.other	Deborah number	en
dc.subject.other	Non staggered grid	en
dc.subject.other	Upper convected Maxwell constitutive equation	en
dc.subject.other	Upwind scheme	en
dc.subject.other	Viscoelastic expansion flow	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	finite volume technique	en
dc.subject.other	fluid flow	en
dc.subject.other	viscoelastic fluid	en
dc.subject.other	finite volume method	en
dc.subject.other	fluid flow	en
dc.subject.other	viscoelastic flow	en
dc.title	A finite volume approach in the simulation of viscoelastic expansion flows	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0257(98)00057-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0257(98)00057-3	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A finite volume technique is presented for the numerical solution of viscoelastic flows. The flow of a differential upper-convected Maxwell (UCM) model fluid through an abrupt expansion has been chosen as a prototype example due to the existence of previous simulations in the literature. The conservation and constitutive equations are solved using the finite volume method (FVM) in a non-staggered grid with an upwind scheme for the viscoelastic stresses and a hybrid scheme for the velocities. An enhanced-in-speed pressure-correction algorithm is used and a new method for handling the source term of the momentum equations is introduced. Improved accuracy is achieved by a special discretization of the boundary conditions. Stable solutions are found for high Deborah numbers, further extending the range of previous similar simulations with the FVM. The solutions have been verified with grid refinement and show that at high elasticity levels, the domain length must be long enough to accommodate the slow relaxation of high viscoelastic stresses. The FVM is proven quite capable for numerically handling viscoelastic models with low computational cost and its use is recommended as a viable alternative to the solution of viscoelastic problems using a variety of constitutive models.A finite volume technique is presented for the numerical solution of viscoelastic flows. The flow of a differential upper-convected Maxwell (UCM) model fluid through an abrupt expansion has been chosen as a prototype example due to the existence of previous simulations in the literature. The conservation and constitutive equations are solved using the finite volume method (FVM) in a non-staggered grid with an upwind scheme for the viscoelastic stresses and a hybrid scheme for the velocities. An enhanced-in-speed pressure-correction algorithm is used and a new method for handling the source term of the momentum equations is introduced. Improved accuracy is achieved by a special discretization of the boundary conditions. Stable solutions are found for high Deborah numbers, further extending the range of previous similar simulations with the FVM. The solutions have been verified with grid refinement and show that at high elasticity levels, the domain length must be long enough to accommodate the slow relaxation of high viscoelastic stresses. The FVM is proven quite capable for numerically handling viscoelastic models with low computational cost and its use is recommended as a viable alternative to the solution of viscoelastic problems using a variety of constitutive models.	en
heal.publisher	Elsevier Sci B.V., Amsterdam, Netherlands	en
heal.journalName	Journal of Non-Newtonian Fluid Mechanics	en
dc.identifier.doi	10.1016/S0377-0257(98)00057-3	en
dc.identifier.isi	ISI:000074719100001	en
dc.identifier.volume	78	en
dc.identifier.issue	2-3	en
dc.identifier.spage	91	en
dc.identifier.epage	118	en