Modeling compressible multiphase flows with dispersed particles in both dense and dilute regimes

McGrath, Thomas P.; Clair, Jeffrey St.; Balachandar, S.

doi:10.1007/s00193-017-0726-8

Cited by 13 publications

(11 citation statements)

References 19 publications

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“…Such instability seems misunderstood and not reproduced by existing flow models. Intensive experimental and numerical studies were done in this area recently, as for example in Rodriguez et al (2013), McGrath et al (2018, Osnes et al (2018) and Xue et al (2018). Thanks to the new model and present numerical method, the formation stage of this instability seems correctly predicted at least qualitatively.…”

Section: Riemann Solver With Internal Reconstruction (Rsir)mentioning

confidence: 88%

“…The explosive is replaced by a shock tube and the matter to disperse is placed between two plates, in a Hele-Shaw cell. Other simplified situations have been considered for example in McGrath et al (2018), Osnes et al (2018), Carmouze et al (2018) to study possible clustering effects due to aerodynamic forces. It seems that jets formation and size selection mechanism is still unidentified.…”

Section: Iii3 Examples and Validationsmentioning

confidence: 99%

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Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flows

Carmouze

Saurel

Chiapolino³

et al. 2020

Journal of Computational Physics

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A new Riemann solver is built to address numerical resolution of complex flow models. The research direction is closely linked to a variant of the Baer and Nunziato (1986) model developed in Saurel et al. (2017a). This recent model provides a link between the Marble (1963) model for two-phase dilute suspensions and dense mixtures. As in the Marble model, Saurel et al. system is weakly hyperbolic with the same 4 characteristic waves, while the system involves 7 partial differential equations. It poses serious theoretical and practical issues to built simple and accurate flow solver. To overcome related difficulties the Riemann solver of Linde (2002) is revisited. The method is first examined in the simplified context of compressible Euler equations. Physical considerations are introduced in the solver improving robustness and accuracy of the Linde method. With these modifications the flow solver appears as accurate as the HLLC solver of Toro et al. (1994). Second the two-phase flow model is considered. A locally conservative formulation is built and validated removing issues related to nonconservative terms. However, two extra major issues appear from numerical experiments: The solution appears not self-similar and multiple contact waves appear in the dispersed phase. Building HLLC-type or any other solver appears consequently challenging. The modified Linde (2002) method is thus examined for the considered flow model. Some basic properties of the equations are used, such as shock relations of the dispersed phase and jump conditions across the contact wave. Thanks to these ingredients the new Riemann solver with internal reconstruction (RSIR), modification of the Linde method, handles stationary volume fraction discontinuities, presents low dissipation for transport waves and handles shocks and expansion waves accurately. It is validated on various test problems showing method's accuracy and versatility for complex flow models. Its capabilities are illustrated on a difficult two-phase flow instability problem, unresolved before.

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Section: Riemann Solver With Internal Reconstruction (Rsir)mentioning

confidence: 88%

Section: Iii3 Examples and Validationsmentioning

confidence: 99%

Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flows

Carmouze

Saurel

Chiapolino³

et al. 2020

Journal of Computational Physics

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“…The explosive is replaced by a shock tube and the matter to disperse is placed between two plates, in a Hele-Shaw cell. Other simplified situations have been considered for example in McGrath et al (2018) [9], Osnes et al (2018) [10], Carmouze et al (2018) [11] to study possible clustering effects due to aerodynamic forces.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigations of two-phase finger-like instabilities

Chiapolino¹,

Saurel

2020

Computers & Fluids

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The aim of the present work is to progress in the identification of the effects responsible for the formation of jets in heterogeneous gas-particle cylindrical and spherical explosions. In this direction three two-phase flow models are considered, namely Baer and Nunziato's (BN) (1986) model, Marble's (1963) model and the dense-dilute model of Saurel et al. (2017). The first and third ones involve both non-conservative terms and viscous drag effects while the second one involves viscous drag only as interaction force. Computed results show that viscous drag alone is unable to reproduce finger-like instabilities. The BN model and the dense-dilute one differ significantly by their acoustic properties. It is shown that the only model able to reproduce qualitatively finger-like jets is the dense-dilute model. Mesh dependence of the results is studied as well as presence or absence of viscous drag. It appears that the non-conservative terms seem responsible for jetting effects.

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“…Ling et al [7,8] emphasized that the effects of unsteady contributions get importance when the particle-to-gas density ratio is small. McGrath et al [9] simulated the compressible particle-dispersed flow using an Euler-Euler method.…”

Section: Introductionmentioning

confidence: 99%

Initial Moving Mechanism of Densely‐Packed Particles Driven by a Planar Shock Wave

Wang

Zhang

et al. 2021

Shock and Vibration

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The initial moving mechanism of densely packed particles driven by shock waves is unclear but vital for the next accurate calculation of the problem. Here, the initial motion details are investigated experimentally and numerically. We found that before particles show notable motion, shock waves complete reflection and transmission, and stress waves propagate downstream on particle skeleton. Due to the particle stress wave, particles successively accelerate and obtain an axial velocity of 6–8 m/s. Then, the blocked gas pushes the upstream particles integrally to move downstream, while the gas flow in the pores drags the downstream particles to separate dramatically and accelerate to the velocity of 60–70 m/s. This gas push-drag dual mechanism transforms densely packed particles into a dense gas-particle cloud, which behaves as the expansion phenomena of the dense particles.

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Modeling compressible multiphase flows with dispersed particles in both dense and dilute regimes

Cited by 13 publications

References 19 publications

Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flows

Riemann solver with internal reconstruction (RSIR) for compressible single-phase and non-equilibrium two-phase flows

Numerical investigations of two-phase finger-like instabilities

Initial Moving Mechanism of Densely‐Packed Particles Driven by a Planar Shock Wave

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