Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows

Shukla, Ratnesh K.

doi:10.1016/j.jcp.2014.07.034

Cited by 62 publications

(44 citation statements)

References 138 publications

(295 reference statements)

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“…15 and 16. In fact, similar observations with respect to the mesh dependency for the same shock-bubble interaction were recently reported by Shukla (2014) and Goncalves et al (2019) using density-based methods. The mesh with 200 cells per initial bubble diameterd 0 , on the other hand, yields significantly different results compared to the meshes with higher resolution, which affects the position of the shock wave as well as the shape of the bubble, as evident by comparing Fig.…”

Section: Two-dimensional Air-bubble In Watersupporting

confidence: 86%

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Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers

Denner

Wachem

2019

Exp. Comput. Multiph. Flow

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The interaction of a shock wave with a bubble features in many engineering and emerging technological applications, and has been used widely to test new numerical methods for compressible interfacial flows. Recently, density-based algorithms with pressure-correction methods as well as fully-coupled pressure-based algorithms have been established as promising alternatives to classical density-based algorithms based on Riemann solvers. The current paper investigates the predictive accuracy of fully-coupled pressure-based algorithms without Riemann solvers in modelling the interaction of shock waves with one-dimensional and two-dimensional bubbles in gas-gas and liquid-gas flows. For a gas bubble suspended in another gas, the mesh resolution and the applied advection schemes are found to only have a minor influence on the bubble shape and position, as well as the behaviour of the dominant shock waves and rarefaction fans. For a gas bubble suspended in a liquid, however, the mesh resolution has a critical influence on the shape, the position and the post-shock evolution of the bubble, as well as the pressure and temperature distribution.

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Section: Two-dimensional Air-bubble In Watersupporting

confidence: 86%

“…The interaction of a shock wave with M s = 1.72 in water with a circular air bubble is simulated, as considered previously in other studies (Goncalves et al, 2019;Haimovich and Frankel, 2017;Nourgaliev et al, 2006;Shukla, 2014). The computational setup is schematically illustrated in Fig.…”

Section: Two-dimensional Air-bubble In Watermentioning

confidence: 99%

Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers

Denner

Wachem

2019

Exp. Comput. Multiph. Flow

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“…For two‐component flows, the above system is the well‐known quasi‐conservative five‐equation model of Allaire et al The nonconservative advection equation for volume fraction has been widely used in the literature …”

Section: Mathematical Modelmentioning

confidence: 99%

“…For two-component flows, the above system is the well-known quasi-conservative five-equation model of Allaire et al 15 The nonconservative advection equation (1d) for volume fraction has been widely used in the literature. 9,15,20,21,35,36 The gamma-based approach originally proposed by Abgrall 11 and used by Terashima et al 34 in the context of LAD schemes is mathematically equivalent to the five-equation approach assuming single gas-phase fluids are present only. In particular, for gamma-based approaches, the conservation equations for (total) density, partial mass fractions ( and Y (k) ), and the transport equations for specific functions of entering the EOS must be solved.…”

Section: Mass Momentum and Energy Conservation Lawsmentioning

confidence: 99%

“…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%

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

Aslani

Regele

2018

Numerical Methods in Fluids

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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.

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Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change

Liu

2020

Numerical Methods in Fluids

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Summary In order to capture the material interface dynamics, especially under the impact of strong shocks, the key feature of the modified ghost fluid method (MGFM) is to construct a multimaterial Riemann problem normal to the interface and use its solution to define interface conditions. However, such process sometimes may not be easily or accurately implemented when the multidimensional interfaces come into contact or undergo significant deformations. In this article, a three‐dimensional interface treating procedure is developed for a wide range of compressible multimaterial flows. It utilizes the MGFM with an explicit approximate Riemann problem solver to define interface conditions. More importantly, a weighted average technique is designed to optimize the treatment for interfaces exhibiting large curvature and topological change. This remedies two defects of the traditional approach in these extreme cases. One is that the normal directions of interfacial ghost nodes may not be easily calculated. The other is that the interface conditions may not be accurately defined. The numerical methodology is validated through several typical problems, including gas‐liquid Riemann problem and shock‐bubble/droplet interaction. These results indicate that the developed method is capable of dealing with interfacial evolutions in three dimensions, especially when interfaces undergo merger, fragmentation, and other complex changes.

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Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows

Cited by 62 publications

References 138 publications

Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers

Numerical modelling of shock-bubble interactions using a pressure-based algorithm without Riemann solvers

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

Modified ghost fluid method for three‐dimensional compressible multimaterial flows with interfaces exhibiting large curvature and topological change

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