Gradient augmented level set method for phase change simulations

Anumolu, Lakshman; Trujillo, Mario F.

doi:10.1016/j.jcp.2017.10.016

Cited by 25 publications

(21 citation statements)

References 51 publications

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“…The model is validated against different threephase flow with phase change problems involving a liquid with a rising condensing vapor bubble and a falling immiscible liquid droplet, and solidification in stratified two-fluid flow with a growing solid layer. In 2018, Anumolu and Trujillo [3] used second-order one-sided differences to discretize the temperature laplacian, i.e. the numerical stencil completely resides within each respective phase, to solve the heat equation in phase change simulations.…”

Section: Coupling Between Level Set and Ghost Fluid Methodsmentioning

confidence: 99%

Numerical simulation of boiling on unstructured grids

Sahut

Ghigliotti

Balarac

et al. 2021

Journal of Computational Physics

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Section: Coupling Between Level Set and Ghost Fluid Methodsmentioning

confidence: 99%

Numerical simulation of boiling on unstructured grids

Sahut

Ghigliotti

Balarac

et al. 2021

Journal of Computational Physics

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“…Before discussing the numerical methods themselves, it is worthwhile to discuss the strategy used to represent physical quantities and field variables in each grid cell. Following, Anumolu and Trujillo [18], a strategy is said to be sharp when 1. the interface position is known, 2. the thermophysical properties at the interface are discontinuous, and 3. fluxes are evaluated using only information from one phase. Item 1 requires the use of an interface tracking scheme with explicit interface reconstruction.…”

Section: Sharp Representation Of Liquid-gas Flowsmentioning

confidence: 99%

“…This relation is further complicated by the requirement of the system to satisfy thermodynamic equilibrium, i.e., Eq. (18). Because of this complexity, the solution of this nonlinear system is often neglected in the literature by assuming a priori a limiting vaporization regime such as boiling conditions.…”

Section: Thermodynamic Equilibrium At the Interfacementioning

confidence: 99%

“…However, the studies are performed under several assumptions regarding the regime of vaporization and the flow conditions. First, simulations are typically performed within one of two limiting cases of vaporization: an evaporation limit wherein the vaporization rate is assumed to be limited by the local values in the vapor species [14,16]; and a boiling limit wherein the vaporization rate is assumed to be limited by the local values in temperature [12,13,15,17,18]. Few authors have studied vaporization without the imposition of these constraints [1,5,16].…”

Section: Introductionmentioning

confidence: 99%

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A volume of fluid framework for interface-resolved simulations of vaporizing liquid-gas flows

Palmore

2019

Journal of Computational Physics

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This work demonstrates a computational framework for simulating vaporizing, liquid-gas flows. It is developed for the general vaporization problem [1] which solves the vaporization rate based as from the local thermodynamic equilibrium of the liquid-gas system. This includes the commonly studied vaporization regimes of film boiling and isothermal evaporation. The framework is built upon a Cartesian grid solver for low-Mach, turbulent flows [2] which has been modified to handle multiphase flows with large density ratios [3]. Interface transport is performed using an unsplit volume of fluid solver [4]. A novel, divergence-free extrapolation technique is used to create a velocity field that is suitable for interface transport. Sharp treatments are used for the vapor mass fractions and temperature fields [5]. The pressure Poisson equation is treated using the Ghost Fluid Method [6]. Interface equilibrium at the interface is computed using the Clausius-Clapeyron relation, and is coupled to the flow solver using a monotone, unconditionally stable scheme.It will be shown that correct prediction of the interface properties is fundamental to accurate simulations of the vaporization process. The convergence and accuracy of the proposed numerical framework is verified against solutions in one, two, and three dimensions. The simulations recover first order convergence under temporal and spatial refinement for the general vaporization problem. The work is concluded with a demonstration of unsteady vaporization of a droplet at intermediate Reynolds number.

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“…Therefore, a numerical simulation method is widely used in research on fluid flow, mixing and flow patterns. The common numerical simulation methods include level set (Coquerelle and Glockner 2016;Rodríguez 2017;Anumolu and Trujillo 2018), VOF (volume of fluid) (Cerroni et al 2017;Pozzetti and Peters 2018) and LBM (lattice Boltzmann method) (Gong et al 2016;Hassine et al 2017;Amirshaghaghi et al 2018), each of which has advantages and disadvantages, as well as corresponding specific conditions to use (Prajapati 2014). Among them, the VOF method only needs to introduce a new scalar function to track the fluid interface when calculating the two-phase flow.…”

Section: Introductionmentioning

confidence: 99%

Simulation of multiphase flow pattern, effective distance and filling ratio in hydraulic fracture

Pei

Zhang

Zhou

et al. 2019

J Petrol Explor Prod Technol

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Hydraulic fracturing is a key measure to increase production and transform oil and gas reservoirs, which plays an important role in oil and gas field development. Common hydraulic fracturing is of inevitable bottlenecks such as difficulty in sand adding, sand plugging, equipment wearing and fracturing fluid damage. To solve these problems, a new type of fracturing technology, i.e., the self-propping fracturing technology is currently under development. Technically, the principle is to inject a self-propping fracturing liquid system constituting a self-propping fracturing liquid and a channel fracturing liquid into the formation. Self-propping fracturing liquid changes from liquid to solid through phase transition under the formation temperature, replacing proppants such as ceramic particles and quartz sand to achieve the purpose of propping hydraulic fractures. The flow pattern, effective distance and filling ratio of the self-propping fracturing liquid system in the hydraulic fracture are greatly affected by the parameters such as the fluid leak-off rate, surface tension and injection velocity. In this paper, a set of mathematical models for the flow distribution of self-propping fracturing liquid system considering fluid leakoff was established to simulate the flow pattern, effective distance, as well as filling ratio under different leak-off rates, surface tensions and injection velocities. The mathematical model was verified by physical experiments, proving that the mathematical model established herein could simulate the flow of self-propping fracturing liquid systems in hydraulic fractures. In the meantime, these results have positive impacts on the research of interface distribution of liquid-liquid two-phase flow.

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Gradient augmented level set method for phase change simulations

Cited by 25 publications

References 51 publications

Numerical simulation of boiling on unstructured grids

Numerical simulation of boiling on unstructured grids

A volume of fluid framework for interface-resolved simulations of vaporizing liquid-gas flows

Simulation of multiphase flow pattern, effective distance and filling ratio in hydraulic fracture

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