Numerical simulation of compressible viscoelastic liquids

Keshtiban, I.J.; Belblidia, Fawzi; Webster, M.F.

doi:10.1016/j.jnnfm.2003.12.008

Cited by 23 publications

(34 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Under compressible liquid flow considerations, earlier Keshtiban et al, [14] have extended an incompressible viscoelastic fe-scheme to handle weakly-compressible flows. The emerging new scheme has been validated on several benchmark problems, including that of present interest of an abrupt four-to-one contraction flow.…”

Section: Literature Reviewmentioning

confidence: 99%

“…For incompressible implementations (fe and fe/fv), underrelaxation (R) is called upon to enhance numerical stability. This relaxation procedure may be interpreted as time-step scaling upon each individual equation-stage (see [14] for detail).…”

Section: Numerical Solutions At We=15 -Across Scheme Variantsmentioning

confidence: 99%

“…In our previous studies [14,34], we have developed a numerical scheme for Newtonian and viscoelastic weakly-compressible liquid flows based on a pure finite element (fe)…”

Section: Introductionmentioning

confidence: 99%

“…With compressible flow in mind, Webster and co-workers [14,34] have already provided extension to the 'pure fe' TGPC algorithm, handling weakly-compressible viscous-viscoelastic liquid flows at LMN, termed C-TGPC (Compressible-TGPC). Under such setting, the divergence-free condition applicable for incompressible flow, is replaced with the continuity equation for compressible liquid flow.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes

Keshtiban

Belblidia

Webster

2005

Journal of Non-Newtonian Fluid Mechanics

Self Cite

View full text Add to dashboard Cite

In this study, we analyse viscoelastic numerical solution for an Oldroyd-B model under incompressible and weakly-compressible liquid flow conditions. We consider flow through a planar four-to-one contraction, as a standard benchmark, throughout a range of Weissenberg numbers up to critical levels. At the same time, inertial and creeping flow settings are also addressed.Within our scheme, we compare and contrast, two forms of stress discretisation, both embedded within a high-order pressure-correction time-marching formulation based on triangles. This encompasses a parent-cell finite element/SUPG scheme, with quadratic stress interpolation and recovery of velocity gradients. The second scheme involves a sub-cell finite volume implementation, a hybrid fe/fv scheme for the full system.A new feature of this study is that both numerical configurations are able to accommodate incompressible, and low to vanishing Mach number compressible liquid flows. This is of some interest within industrial application areas. We are able to provide parity between the numerical solutions across schemes for any given flow setting. Close examination of flow patterns and vortex trends indicates the broad differences anticipated between incompressible and weakly-compressible solutions. Vortex reduction with increasing Weissenberg number is a common feature throughout. Compressible solutions provide larger vortices (salient and lip) than their incompressible counterparts, and larger stress patterns in the re-entrant corner neighbourhood. Inertia tends to reduce such phenomena in all instances. The hybrid fe/fvscheme proves more robust, in that it captures the stress singularity more tightly than the feform at comparable Weissenberg numbers, reaching higher critical levels. The sub-cell structure, the handling of cross-stream numerical diffusion, and corner discontinuity capturing features of the hybrid fe/fv-scheme, are all perceived as attractive additional benefits that give preference to this choice of scheme.

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Section: Numerical Solutions At We=15 -Across Scheme Variantsmentioning

confidence: 99%

“…In our previous studies [14,34], we have developed a numerical scheme for Newtonian and viscoelastic weakly-compressible liquid flows based on a pure finite element (fe)…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes

Keshtiban

Belblidia

Webster

2005

Journal of Non-Newtonian Fluid Mechanics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Several authors developed in the past unified computational methods for compressible and incompressible viscous flows [24][25][26][27][28][29][30], showing results for a wide range of flow speeds, but in two-dimensional simple geometries. Extensions of low to vanishing Mach number compressible flows to viscoelastic constitutive models have been studied by Webster and co-workers [32,33,31] in a very comprehensive work, and were compared to experimental results in [34]. However, these studies were devoted to two-dimensional flows.…”

Section: Introductionmentioning

confidence: 99%

A new three-dimensional mixed finite element for direct numerical simulation of compressible viscoelastic flows with moving free surfaces

et al. 2011

View full text Add to dashboard Cite

The original publication is available at http://www.springer.comInternational audienceTA Mixed Finite Element (MFE) method for 3D non-steady flow of a viscoelastic compressible fluid is presented. It was used to compute polymer injection flows in a complex mold cavity, which involves moving free surfaces. The flow equations were derived from the Navier-Stokes incompressible equations, and we extended a mixed finite element method for incompressible viscous flow to account for compressibility (using the Tait model) and viscoelasticity (using a Pom-Pom like model). The flow solver uses tetrahedral elements and a mixed velocity/pressure/extra-stress/density formulation, where elastic terms are solved by decoupling our system and density variation is implicitly considered. A new DEVSS-like method is also introduced naturally from the MINI-element formulation. This method has the great advantage of a low memory requirement. At each time slab, once the velocity has been calculated, all evolution equations (free surface and material evolution) are solved by a space-time finite element method. This method is a generalization of the discontinuous Galerkin method, that shows a strong robustness with respect to both re-entrant corners and flow front singularities. Validation tests of the viscoelastic and free surface models implementation are shown, using literature benchmark examples. Results obtained in industrial 3D geometries underline the robustness and the efficiency of the proposed method

show abstract

Glass Transition of Globular Proteins from Thermal and High Pressure Perspectives

Savadkoohi

Банникова

Kasapis

2017

Glass Transition and Phase Transitions in Food and Biological Materials

View full text Add to dashboard Cite

Numerical simulation of compressible viscoelastic liquids

Cited by 23 publications

References 27 publications

Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes

Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes

A new three-dimensional mixed finite element for direct numerical simulation of compressible viscoelastic flows with moving free surfaces

Glass Transition of Globular Proteins from Thermal and High Pressure Perspectives

Contact Info

Product

Resources

About