Numerical Simulation of Incompressible Flows With Moving Interfaces

Médale, Marc; Jaeger, Marc

doi:10.1002/(sici)1097-0363(19970330)24:6<615::aid-fld514>3.0.co;2-h

Cited by 25 publications

(29 citation statements)

References 19 publications

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“…When using the FEM to analyse mould-ÿlling problems, the above issues have been successfully solved by (1) front tracking and function reconstruction from the new front position as in Reference [10] or (2) by reducing the front advection calculations to a limited number of elements located at the sides of the front: the cursor, which is updated as the front propagates [11].…”

Section: Front Capturingmentioning

confidence: 99%

“…Front smoothing has been previously used in Reference [11], where the transition region is formed by the elements crossed by the interface. However, using the cursor concept in Reference [11], the diversity of element sizes in the mesh results in a changing front thickness as the front is advected through the mesh.…”

Section: Front Capturingmentioning

confidence: 99%

“…Dhatt [10] and Medale [11] used this test to check the performance of their methods in complex ow problems. The test consists in ÿlling a cavity with a step and initially ÿlled with air at rest, using a molten metal.…”

Section: Step Cavitymentioning

confidence: 99%

See 2 more Smart Citations

Application of the level set method to the finite element solution of two-phase flows

Quecedo¹,

Pastor²

2001

Int. J. Numer. Meth. Engng.

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This paper presents a method to solve two-phase ows using the ÿnite element method. On one hand, the algorithm used to solve the Navier-Stokes equations provides the neccessary stabilization for using the e cient and accurate three-node triangles for both the velocity and pressure ÿelds. On the other hand, the interface position is described by the zero-level set of an indicator function. To maintain accuracy, even for largedensity ratios, the pseudoconcentration function is corrected at the end of each time step using an algorithm successfully used in the ÿnite di erence context. Coupling of both problems is solved in a staggered way. As demonstrated by the solution of a number of numerical tests, the procedure allows dealing with problems involving two interacting uids with a large-density ratio.

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Section: Front Capturingmentioning

confidence: 99%

Section: Front Capturingmentioning

confidence: 99%

See 1 more Smart Citation

Application of the level set method to the finite element solution of two-phase flows

Quecedo¹,

Pastor²

2001

Int. J. Numer. Meth. Engng.

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“…The domains X i moving with time, an Arbitrary Lagrangian Eulerian (ALE) method (see, e.g., Navti et al 1997;Medale and Jaeger 1997) is used for the resolution of the governing equations of the flow. Specifically, linear transformations are used to map X 1 [ X l [ X 2 to a reference mathematical domain ½0; 1 [ ½1; 2 [ ½2; 3.…”

Section: Appendix: Numerical Methodsmentioning

confidence: 99%

Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas

Duluc

Maître

Daru

et al. 2008

Microfluid Nanofluid

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The motion of a liquid inclusion inside a 1D microchannel filled with gas and externally heated is simulated. An incompressible formulation is used for the liquid, while a low Mach approximation is considered for the gas flow. Gas-liquid interfaces are captured using an Arbitrary Lagrangian Eulerian method. The whole liquidgas system is shown to behave as a damped oscillator. Natural frequency of the linearized system and associated eigenmodes are first identified. Forced oscillations are investigated for different heating conditions (temperature or heat flux) at the microchannel ends. Detailed analyses are performed which reveal the main thermo-mechanical effects involved in the oscillations. The relevant parameters governing the dynamics are found out through a dimensionless analysis. Finally, heating conditions leading to non decaying oscillations of the liquid inclusion are proposed.

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“…Several methods have been developed to solve problems of viscous flows with moving boundaries [2][3][4]. Adaptive grid methods (involving remeshing) have been commonly used in codes for two-dimensional simulation of moulding processes: the mesh covers the fluid area and is extended upon every time step.…”

Section: Introductionmentioning

confidence: 99%

Simulation of three-dimensional polymer mould filling processes using a pseudo-concentration method

Haagh

Vosse

1998

Int. J. Numer. Meth. Fluids

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Mould filling processes, in which a material flow front advances through a mould, are typical examples of moving boundary problems. The moving boundary is accompanied by a moving contact line at the mould walls causing, from a macroscopic modelling viewpoint, a stress singularity. In order to be able to simulate such processes, the moving boundary and moving contact line problem must be overcome. A numerical model for both two-and three-dimensional mould filling simulations has been developed. It employs a pseudo-concentration method in order to avoid elaborate three-dimensional remeshing, and has been implemented in a finite element program. The moving contact line problem has been overcome by employing a Robin boundary condition at the mould walls, which can be turned into a Dirichlet (no-slip) or a Neumann (free-slip) boundary condition depending on the local pseudo-concentration. Simulation results for two-dimensional test cases demonstrate the model's ability to deal with flow phenomena such as fountain flow and flow in bifurcations. The method is by no means limited to two-dimensional flows, as is shown by a pilot simulation for a simple three-dimensional mould. The reverse problem of mould filling is the displacement of a viscous fluid in a tube by a less viscous fluid, which has had considerable attention since the 1960's. Simulation results for this problem are in good agreement with results from the literature.

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Numerical Simulation of Incompressible Flows With Moving Interfaces

Cited by 25 publications

References 19 publications

Application of the level set method to the finite element solution of two-phase flows

Application of the level set method to the finite element solution of two-phase flows

Numerical study of liquid inclusion oscillations inside a closed 1D microchannel filled with gas

Simulation of three-dimensional polymer mould filling processes using a pseudo-concentration method

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