Finite element solution of the 3D mold filling problem for viscous incompressible fluid

Pichelin, Élisabeth; Coupez, Thierry

doi:10.1016/s0045-7825(98)00024-3

Cited by 94 publications

(64 citation statements)

References 10 publications

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“…The We first consider the filling of the pipe, starting from an empty pipe. This experiment has been considered in [25,40] and is sometimes called fountain flow. The imposed velocity and extra-stress profile at the inlet are those corresponding to Poiseuille flow, see (16).…”

Section: Filling Of a Pipementioning

confidence: 99%

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Numerical simulation of 3D viscoelastic flows with free surfaces

Bonito

Picasso

Laso

2006

Journal of Computational Physics

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Section: Filling Of a Pipementioning

confidence: 99%

“…Although the VOF model was initially solved using finite volumes, finite element implementations have been recently proposed in three space dimensions [25,20]. In [19,20,5,4], the VOF formulation was solved using an order one, implicit splitting algorithm, two different grids being used, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of 3D viscoelastic flows with free surfaces

Bonito

Picasso

Laso

2006

Journal of Computational Physics

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“…Let us introduce 1 Ω f , the characteristic function of the fluid domain Ω f , as an additional unknown in the interval ]t i , t i+1 [. One can extend each fluid individual problem to the whole computational domain [44] as follows. Let us note χ = V × P × S × L the space containing the whole set of variables of the problem expressed in the fluid.…”

Section: Moving Free Surfacesmentioning

confidence: 99%

“…where a is the generalization to χ of the velocity-pressure extension method developed in [44], ensuring continuity of the velocity and normal stresses field [45]. Determining the characteristic function for each time step is not detailed here, since it has been the object of a previous work [23].…”

Section: Moving Free Surfacesmentioning

confidence: 99%

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

et al. 2011

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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

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“…FORGE2005® is based on a mixed velocity-pressure formulation and the so-called Mini-element (P1+/P1) is used [30]. It is based on linear isoparametric tetrahedra (triangles for 2D configurations) and a bubble function is added to the linear velocity field at the element level in order to satisfy the Brezzi/Babuska condition.…”

Section: Numerical Implementationmentioning

confidence: 99%

An enhanced Lemaitre model formulation for materials processing damage computation

et al. 2010

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ABSTRACT:The Lemaitre damage model is now widely used to deal with coupled damage analyses for various mechanical applications. In this article, different extensions of the model are presented and discussed to deal with complex multiaxial configurations -such as multi-stages bulk forming processes. A specific treatment is done to account for compressive damage growth, and a stress triaxiality cut-off value is considered to avoid any damage evolution below a critical negative triaxiality. The damage potential is also modified to deal with highly ductile materials, and the plastic strain is split into a negative part and a positive part to differentiate damage growth for compressive states of stress and for tensile states of stress. Finally, an anisotropic damage approach based on the comparison between grain flow orientation and principal loading directions is defined. A combination of these extensions is achieved within a single Lemaitre formulation. Application on different examples show the robustness and accuracy of the model defined in this paper.

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Finite element solution of the 3D mold filling problem for viscous incompressible fluid

Cited by 94 publications

References 10 publications

Numerical simulation of 3D viscoelastic flows with free surfaces

Numerical simulation of 3D viscoelastic flows with free surfaces

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

An enhanced Lemaitre model formulation for materials processing damage computation

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