Transient solution of 3D free surface flows using large time steps

You, Soyoung; Bathe, Klaus‐Jürgen

doi:10.1016/j.compstruc.2015.06.011

Cited by 17 publications

(4 citation statements)

References 19 publications

(31 reference statements)

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“…The free surface of the molten pool is tracked by ALE dynamic mesh. This method has the advantage of accurately tracking the curvature of the local surface and improves the robustness of the computing process, compared to other methods [25,26]. In addition, the vapor phase is neglected, which greatly simplifies the resulting calculation.…”

Section: Mesh Generationmentioning

confidence: 99%

“…The ALE and LS methods have been used in laser welding modeling [23,24]. When compared with the VOF and LS methods, the ALE dynamic mesh has a more stable computational process and more accurate modeling of the free surface of the molten pool [25]. The ALE method is also more accurate in computing the surface tension effect and local surface curvature [26], which is important for accuracy in the calculation of molten pool dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Evolution of molten pool during selective laser melting of Ti–6Al–4V

Zhang

Liu

et al. 2018

J. Phys. D: Appl. Phys.

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The characteristics of molten pools provide valuable insight into the complexity of the metal additive manufacturing process, which has a significant influence on the quality of the parts built using this process. In our work, we develop a three-dimensional multiphysics finite element model of a selective laser melting (SLM) process on a Ti-6Al-4V alloy. The dynamic characteristics of the molten pool are studied by multiphysics simulation with consideration of phase transitions, recoil pressure, surface tension, and Marangoni effect. The results show the time-evolution of temperature distribution, flow field, and surface morphology of a single track during the SLM process. The recoil pressure caused by evaporation plays a significant role in molten pool dynamics and induces a depression at the head of the molten pool. As a result of the backward Marangoni flow, the material is shifted to the tail region and a vortex is generated. In addition, a protrusion is presented at the middle and start points of the scanned track, while a depression is formed at both sides and at the terminal point. The simulation and the experimental results on the surface morphology of the molten track during the SLM process are in good agreement. Furthermore, it is found that metal evaporation may take place not only on the surface of the molten pool but also inside it, due to the drop in pressure. This is a significant contributor to the formation of porosity in SLM parts.

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Section: Mesh Generationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Evolution of molten pool during selective laser melting of Ti–6Al–4V

Zhang

Liu

et al. 2018

J. Phys. D: Appl. Phys.

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“…Another important Lagrangian method for free surface analysis is the Smooth Particle Hydrodynamics (SPH) method, which relies on a meshless approach to numerically address the system dynamics. However, the use of artificial constants such as smoothing factors in the SPH method may induce spurious oscillations, in which additional steps may be required to obtain accurate solutions [82]. Particle finite element methods also adopt a purely Lagrangian framework, in which each node of the finite element mesh is tracked through time, along with element addition/removal strategies (Nguyen et al, 2008).…”

Section: Interface Tracking Methodsmentioning

confidence: 99%

“…Later on, Ganesan and Tobiska [94] developed a coupled ALE-Lagrangian finite element method to compute the dynamics of insoluble surfactant on a free surface flow, in which the ALE method is used to track the surface and the surfactant concentration transport equation is approximated in a Lagrangian manner. You and Bathe [82] developed an improved numerical method that accurately describe transient solutions of 3D free surface flows using large time steps through the ALE method. The authors used the ALE method with a special focus on the condition of mass conservation during long-time response and introduce specific 3D elements for the free surface flow conditions evaluated therein.…”

Section: Interface Tracking Methodsmentioning

confidence: 99%

Breakup Dynamics of Thin Liquid Sheets With Viscous Interfaces

Cunha¹

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An arbitrary Lagrangian–Eulerian‐based finite element strategy for modeling incompressible two‐phase flows

Potghan

Jog

2021

Numerical Methods in Fluids

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In this work, we develop a numerical strategy for solving two‐phase immiscible incompressible fluid flows in a general arbitrary Lagrangian–Eulerian framework. As we use a conforming mesh moving with one of the fluids, there is no need to track or reconstruct the interface explicitly. A sharp interface, discontinuity in the fluid properties, and the jump in the pressure field are all accurately modeled using the dummy‐node technique. One of the challenges that this work addresses is to obtain a C0‐continuous approximation for the surface tension force term on the reference configuration, and to obtain its consistent linearization within the context of a Newton–Raphson strategy. It is shown by means of various numerical examples that the strategy is computationally efficient and robust, and circumvents the need for remeshing upto significantly large deformations.

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Transient solution of 3D free surface flows using large time steps

Cited by 17 publications

References 19 publications

Evolution of molten pool during selective laser melting of Ti–6Al–4V

Evolution of molten pool during selective laser melting of Ti–6Al–4V

Breakup Dynamics of Thin Liquid Sheets With Viscous Interfaces

An arbitrary Lagrangian–Eulerian‐based finite element strategy for modeling incompressible two‐phase flows

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