An interface capturing scheme for modeling atomization in compressible flows

Garrick, Daniel P.; Hagen, Wyatt A.; Regele, Jonathan D.

doi:10.1016/j.jcp.2017.04.079

Cited by 36 publications

(18 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Another difficulty arising in interface capturing is the smearing of fluid interfaces. A variety of high-order methods, 9,16,17 anti-diffusion techniques 18,19 and interface-sharpening methods [20][21][22][23][24] have been developed to resolve this problem. Caution is required when using interface-sharpening techniques as nonphysical terms introduced into governing equations may facilitate mass, momentum, and/or energy loss in the system.…”

Section: Introductionmentioning

confidence: 99%

A localized artificial diffusivity method to simulate compressible multiphase flows using the stiffened gas equation of state

Aslani

Regele

2018

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

Summary The development of numerical approaches to perform direct numerical simulations of compressible multiphase flows has been an active field of research for several years. Proper treatment of fluid interfaces is crucial as important physics occur in this infinitesimally small region. Furthermore, the compressibility of the fluid requires proper treatment of discontinuities. Artificial diffusivity is among a number of methods widely used for compressible flows. This study develops a general form of consistent artificial diffusion fluxes and extends the localized artificial diffusivity method for high‐order central schemes to solve multiphase flows with an interface‐capturing method. These fluxes ensure an oscillation‐free interface for pressure, velocity, and temperature without employing a sharpening technique. Moreover, the high‐order representation of all scales in the flow helps capture the wide range of instabilities inherent in these flows. The goal is to develop an approach capable of performing high‐fidelity simulations supported by physics‐driven validation. This is achieved by solving the five‐equation model with the stiffened‐gas equation of state using the proposed method for multicomponent and multiphase flows on a variety of 1D and 2D problems.

show abstract

Section: Introductionmentioning

confidence: 99%

A localized artificial diffusivity method to simulate compressible multiphase flows using the stiffened gas equation of state

Aslani

Regele

2018

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…In order to construct an arbitrary high-order time integration scheme, the second integrals in (22) through (24) are evaluated by Gaussian quadrature. In order to derive the Gaussian quadrature approximation for the integral,…”

Section: Spectral Deferred Correction Method; Coupling Of the Nonlinear Advection Pressure Gradient And Viscosity Force Termsmentioning

confidence: 99%

“…We computed this problem previously in [25] using the CISL-MOF method and related simulations have been reported by [22,36].…”

Section: The Break Up Of a Liquid Jet Into Droplets Due To Cross Flowing Airmentioning

confidence: 99%

A Hierarchical Space-Time Spectral Element and Moment-of-Fluid Method for Improved Capturing of Vortical Structures in Incompressible Multi-phase/Multi-material Flows

et al. 2019

View full text Add to dashboard Cite

A novel block structured adaptive space-time spectral element and moment-of-fluid method is described for computing solutions to incompressible multi-phase/multi-material flows. The new method implements a space-time spectrally accurate method in the bulk regions of a multi-phase/multi-material flow and implements the cell integrated semi-Lagrangian moment-of-fluid method in the vicinity of mixed material computational cells. In the new method, the space-time order can be prescribed to be 2 ≤ p (x) ≤ 16 (space) and 2 ≤ p (t) ≤ 16 (time) respectively. represents the adaptive mesh refinement level. Regardless of the space-time order, only one ghost layer of cells is communicated between neighboring grid patches that are on different compute nodes or different adaptive levels . The new method is first tested on incompressible vortical flow benchmark tests, then the new method is tested on the following incompressible multi-phase/multi-material problems: (i) vortex shedding past a tilted cone and (ii) atomization and spray of a liquid jet in a gas cross-flow.

show abstract

“…Numerous follow-up studies have addressed the problem under various impact conditions [18,19,20], different fluids [21], elevated wall temperatures [22], impact on non-flat [23,24] or complex [25,6] surfaces and impact of stream of droplets [26,27]. Apart from the VOF method, the Piecewise linear Interface Calculation (PLIC) approach [28,29], the Weighted Linear Interface Calculation (WLIC) method, which was introduced by Yokoi [30] and independently by Marek et al [31] and the Tangent of Hyperbola for Interface Capturing (THINC) interface reconstruction scheme, which was described by [32]; the more recent works of [33,34] are an extension of THINC scheme.…”

Section: Summary Of Methodologies Applied To Droplet Impact Assuming mentioning

confidence: 99%

“…Fukai et al [7] developed a finite element model (FEM) for the incompressible flow equations but the hyperbolic character of the equations was obtained by the artificial compressibility method. Although the VOF method was originally developed and has been mainly used for incompressible flows, it has been also extended to compressible fluids, see for example [33,35,36,37,38,39]. Nowadays, VOF methods with arbitrary unstructured meshes have become popular and have been implemented in the open source CFD toolbox OpenFOAM [40,41].…”

Section: Summary Of Methodologies Applied To Droplet Impact Assuming mentioning

confidence: 99%

Modelling cavitation during drop impact on solid surfaces

Kyriazis

Koukouvinis

Gavaises

2018

Advances in Colloid and Interface Science

View full text Add to dashboard Cite

The impact of liquid droplets on solid surfaces at conditions inducing cavitation inside their volume has rarely been addressed in the literature. A review is conducted on relevant studies, aiming to highlight the differences from non-cavitating impact cases. Focus is placed on the numerical models suitable for the simulation of droplet impact at such conditions. Further insight is given from the development of a purpose-built compressible two-phase flow solver that incorporates a phase-change model suitable for cavitation formation and collapse; thermodynamic closure is based on a barotropic Equation of State (EoS) representing the density and speed of sound of the co-existing liquid, gas and vapour phases as well as liquid-vapour mixture. To overcome the known problem of spurious oscillations occurring at the phase boundaries due to the rapid change in the acoustic impedance, a new hybrid numerical flux discretization scheme is proposed, based on approximate Riemann solvers; this is found to offer numerical stability and has allowed for simulations of cavitation formation during drop impact to be presented for the first time. Following a thorough justification of the validity of the model assumptions adopted for the cases of interest, numerical simulations are firstly compared against the Riemann problem, for which the exact solution has been derived for two materials with the same velocity and pressure fields. The model is validated against the single experimental data set available in the literature for a 2-D planar drop impact case. The results are found in good agreement against these data that depict the evolution of both the shock wave generated upon impact and the rarefaction waves, which are also captured reasonably well. Moreover, the location of cavitation formation inside the drop and the areas of possible erosion sites that may develop on the solid surface, are also well captured by the model. Following model validation, numerical experiments have examined the effect of impact conditions on the process, utilizing both planar and 2-D axisymmetric simulations. It is found that the absence of air between the drop and the wall at the initial configuration can generate cavitation regimes closer to the wall surface, which significantly increase the pressures induced on the solid wall surface, even for much lower impact velocities. A summary highlighting the open questions still remaining on the subject is given at the end.

show abstract

An interface capturing scheme for modeling atomization in compressible flows

Cited by 36 publications

References 75 publications

A localized artificial diffusivity method to simulate compressible multiphase flows using the stiffened gas equation of state

A localized artificial diffusivity method to simulate compressible multiphase flows using the stiffened gas equation of state

A Hierarchical Space-Time Spectral Element and Moment-of-Fluid Method for Improved Capturing of Vortical Structures in Incompressible Multi-phase/Multi-material Flows

Modelling cavitation during drop impact on solid surfaces

Contact Info

Product

Resources

About