A new strategy for finite element computations involving moving boundaries and interfaces—The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

Tezduyar, Tayfun E.; Behr, Marek; Mittal, Sanjay; Liou, J.

doi:10.1016/0045-7825(92)90060-w

Cited by 608 publications

(332 citation statements)

References 8 publications

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“…Next, the embedded method is tested in application to the case where gravitational effects are dominating, the domain undergoes severe deformations and the surface tension effects can be neglected. This numerical test for two-fluid problems was proposed originally by Tezduyar et al in [32], studied in detail by Cruchaga et al [5], [33] and recently by de Mier [12]. The computational domain consists of a closed container with the dimensions 0.8 x 0.6 m. The container is filled with two immiscible fluids, the lighter one being on top of the heavier one.…”

Section: Two-fluid Sloshingmentioning

confidence: 99%

“…The computational domain consists of a closed container with the dimensions 0.8 x 0.6 m. The container is filled with two immiscible fluids, the lighter one being on top of the heavier one. The initial, inclined interface is linear with an average height of 0.3 m. The fluid properties used in [32] are taken here as the reference parameters. The top fluid has density ρ L = 1 kg/m 3 , the dynamic viscosity is constant µ E = µ L = 10 −3 Pa· s in both fluids, and the gravity acceleration is set to g = −0.294 m/s 2 in the vertical direction.…”

Section: Two-fluid Sloshingmentioning

confidence: 99%

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An embedded approach for immiscible multi‐fluid problems

Ryzhakov

Jarauta

2015

Numerical Methods in Fluids

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An embedded formulation for the simulation of immiscible multi-fluid problems is proposed. The method is particularly designed for handling gas-liquid systems. Gas and liquid are modeled using the Eulerian and the Lagrangian formulation, respectively. The Lagrangian domain (liquid) moves on top of the fixed Eulerian mesh. The location of the material interface is exactly defined by the position of the boundary mesh of the Lagrangian domain. The individual fluid problems are solved in a partitioned fashion and are coupled using a Dirichlet-Neumann algorithm. Representation of the pressure discontinuity across the interface does not require any additional techniques being an intrinsic feature of the method. The proposed formulation is validated and its potential applications are shown.

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Section: Two-fluid Sloshingmentioning

confidence: 99%

Section: Two-fluid Sloshingmentioning

confidence: 99%

An embedded approach for immiscible multi‐fluid problems

Ryzhakov

Jarauta

2015

Numerical Methods in Fluids

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“…(12), includes certain stabilization terms added to the basic Galerkin formulation to enhance its numerical stability. Details on the formulation, including the definitions of the coefficients τ and δ, can be found in the references [20,21,23]. …”

Section: Finite Element Formulationmentioning

confidence: 99%

“…This way the deformation of the spatial domain is taken into account automatically. This method, known as the DSD/SST (Deforming Spatial Domain/Stabilized Space-Time) technique, was introduced by Tezduyar et al [20,21]. Since then, it has been used for a variety of problems involving fluid-structure interactions and free-surfaces.…”

Section: Introductionmentioning

confidence: 99%

Vortex Induced Vibrations of a Pair of Cylinders at Reynolds Number 1000

Mittal¹,

Kumar²

2004

International Journal of Computational Fluid Dynamics

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Vortex induced vibrations of two equal-sized cylinders in tandem and staggered arrangement placed in uniform incompressible flow is studied. A stabilized finite element formulation is utilized to solve the governing equations. The Reynolds number for these 2D simulations is 1000. The cylinders are separated by 5.5 times the cylinder diameter in the streamwise direction. For the staggered arrangement, the cross-flow spacing between the two cylinders is 0.7 times the cylinder diameter. In this arrangement, the downstream cylinder lies in the wake of the upstream one and therefore experiences an unsteady inflow. The wake looses its temporal periodicity, beyond a few diameters downstream of the front cylinder. The upstream cylinder responds as an isolated single cylinder while the downstream one undergoes disorganized motion. Soft-lock-in is observed in almost all the cases.

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“…The mixed Lagrangian-Eulerian approach in [2], the space-time approach in [3] or the pure Lagrangian particle finite element (PFEM) approach in [4] are among this family. The way the interface is tracked is on itself a parameter of paramount importance in the treatment of the jump/kink in unknown fields.…”

Section: Introductionmentioning

confidence: 99%

A locally extended finite element method for the simulation of multi-fluid flows using the Particle Level Set method

Kamran

Rossi

Oñate

2015

Computer Methods in Applied Mechanics and Engineering

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The simulation of immiscible two-phase flows on Eulerian meshes requires the use of special techniques to guarantee a sharp definition of the evolving fluid interface. This work describes the combination of two distinct technologies with the goal of improving the accuracy of the target simulations. First of all, a spatial enrichment is employed to improve the approximation properties of the Eulerian mesh. This is done by injecting into the solution space new features to make it able to correctly resolve the solution in the vicinity of the moving interface. Then, the Lagrangian Particle Level Set (PLS) method is employed to keep trace of the evolving solution and to improve the mass conservation properties of the resulting method. While the local enrichment can be understood in the general context of the XFEM, we employ an element-local variant, which allows preserving the matrix graph, and hence highly improving the computational efficiency.

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A new strategy for finite element computations involving moving boundaries and interfaces—The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

Cited by 608 publications

References 8 publications

An embedded approach for immiscible multi‐fluid problems

An embedded approach for immiscible multi‐fluid problems

Vortex Induced Vibrations of a Pair of Cylinders at Reynolds Number 1000

A locally extended finite element method for the simulation of multi-fluid flows using the Particle Level Set method

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