An ALE-FE method for two-phase flows with dynamic boundaries

Anjos, Gustavo Rabello dos; Mangiavacchi, Norberto; Thome, John R.

doi:10.1016/j.cma.2020.112820

Cited by 8 publications

(6 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the frame of this approach the mesh can move with the fluid (Lagrangian), or also can be maintained fixed (Eulerian) or even move with any other prescribed speed (mixed Lagrangian-Eulerian) [109]. In the simulation of multiphase flows, a body-conforming mesh is often adopted [110][111][112][113][114]: the grid lines are aligned with the interface in between the phases. In this way jump conditions at the interface can be directly applied in a simple way, without introducing forcing terms or smoothing operators.…”

Section: Arbitrarymentioning

confidence: 99%

“…They tested the performances of the proposed method against several benchmark cases, among which the magnitude of spurious current at the interface of a steady drop and the drop formation and detachment from a dripping faucet. ALE methods were developed to combine the advantages of Lagrangian and Eulerian formulations [113]. This feature comes however at the additional cost of frequent remeshing, which can introduce changes in the mass of each phase.…”

Section: Arbitrarymentioning

confidence: 99%

“…This feature comes however at the additional cost of frequent remeshing, which can introduce changes in the mass of each phase. In particular, Anjos et al [113] Fig. 5 Front Tracking simulation of a vertical channel flow laden with buoyant bubbles; the vortical structures, identified using the k 2 method and colored according to their orientation, are also reported.…”

Section: Arbitrarymentioning

confidence: 99%

See 2 more Smart Citations

Turbulent Flows With Drops and Bubbles: What Numerical Simulations Can Tell Us—Freeman Scholar Lecture

Soligo

Roccon

Soldati

2021

Journal of Fluids Engineering

View full text Add to dashboard Cite

Turbulent flows laden with large, deformable drops or bubbles are ubiquitous in nature and in a number of industrial processes. These flows are characterized by a physics acting at many different scales: from the macroscopic length scale of the problem down to the microscopic molecular scale of the interface. Naturally, the numerical resolution of all the scales of the problem, which span about eight to nine orders of magnitude, is not possible, with the consequence that numerical simulations of turbulent multiphase flows impose challenges and require methods able to capture the multi-scale nature of the flow. In this review, we start by describing the numerical methods commonly employed and discussing their advantages and limitations, and then we focus on the issues arising from the limited range of scales that can be possibly solved. Ultimately, the droplet size distribution, a key result of interest for turbulent multiphase flows, is used as a benchmark to compare the capabilities of the different methods and to discuss the main insights that can be drawn from these simulations. Based on this, we define a series of guidelines and best practices that we believe important in the simulation analysis and in the development of new numerical methods.

show abstract

Section: Arbitrarymentioning

confidence: 99%

Section: Arbitrarymentioning

confidence: 99%

Section: Arbitrarymentioning

confidence: 99%

See 1 more Smart Citation

Turbulent Flows With Drops and Bubbles: What Numerical Simulations Can Tell Us—Freeman Scholar Lecture

Soligo

Roccon

Soldati

2021

Journal of Fluids Engineering

View full text Add to dashboard Cite

show abstract

“…Figure 17 brings a schematic representation of the domain and location of the bubble. The moving frame approach for dynamic boundaries detailed in Reference 26 was used here to comply with the need for a large numerical domain. Thus, the bubble's center

x_{c}

is placed at the coordinates

(0.0, 5.2)

and remains fixed in space.…”

Section: Resultsmentioning

confidence: 99%

One‐ and two‐step semi‐Lagrangian integrators for arbitrary Lagrangian–Eulerian‐finite element two‐phase flow simulations

Anjos

Oliveira

Mangiavacchi

et al. 2022

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

Semi‐Lagrangian (SL) schemes are of utmost relevance to simulate two‐phase flows where advection dominates. The combination of SL schemes with the finite element (FE) method and arbitrary Lagrangian–Eulerian (ALE) dynamic meshes yields a strong ingredient to deal with applications in Earth sciences, environmental engineering, and oil and gas industry whose numerical background is incipient. This article is intended to propose a second‐order time multistep SL/ALE/FE scheme to track particle trajectories traveling amidst single‐ or two‐phase incompressible flows both in fixed and moving mesh situations. The novel scheme is a BDF2‐like implementation that considers the mesh velocity as part of its backward‐in‐time integration. Trajectory departure points are searched through extrapolation and followed by a multistep interpolation corrector that works both for constant and varying time steps. A series of two‐phase benchmark flow simulations are carried out by using the cubic element to compare the performance of the new integrator against single‐step approximations as well as to analyze enhancements in representing the two‐phase flow dynamics. We use the 2D axisymmetric Navier–Stokes equations as underlying model. Error analyses, convergence tests, quantitative, and qualitative comparisons are presented and discussed to highlight the superior conservative feature of the novel scheme.

show abstract

“…Free surface flows are also solved in Reference 14 using flow condition‐based interpolations for velocity, and introducing a penalty term for stabilization. Recently, in Reference 15, an ALE approach is used for solving two‐phase flows with moving boundaries; however, a linearization for the surface tension term is not presented. Even though remeshing is considered, a posteriori corrections for mass conservation need to be carried out.…”

Section: Introductionmentioning

confidence: 99%

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

Potghan

Jog

2021

Numerical Methods in Fluids

View full text Add to dashboard Cite

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.

show abstract

An ALE-FE method for two-phase flows with dynamic boundaries

Cited by 8 publications

References 41 publications

Turbulent Flows With Drops and Bubbles: What Numerical Simulations Can Tell Us—Freeman Scholar Lecture

Turbulent Flows With Drops and Bubbles: What Numerical Simulations Can Tell Us—Freeman Scholar Lecture

One‐ and two‐step semi‐Lagrangian integrators for arbitrary Lagrangian–Eulerian‐finite element two‐phase flow simulations

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

Contact Info

Product

Resources

About