A conservative interface method for compressible flows

Hu, Xiangyu; Khoo, Boo Cheong; Adams, Nikolaus A.; Huang, Fuxin

doi:10.1016/j.jcp.2006.04.001

Cited by 223 publications

(219 citation statements)

References 41 publications

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“…With interface-tracking methods, the location of the interfaces, treated as sharp discontinuities, is explicitly represented during the time evolution. We can cite, for example, front-tracking methods [31], free-Lagrange methods [5] and level set/ghost fluid methods [23,16,27,22]. However, these methods encounter difficulties for large interface deformations and topology changes.…”

Section: Introductionmentioning

confidence: 99%

Simulation of shock-induced bubble collapse using a four-equation model

2018

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This paper presents a numerical study of the interaction between a planar incident shock wave with a cylindrical gas bubble. Simulations are performed using an inviscid compressible one-fluid solver based upon three conservation laws for the mixture variables, namely mass, momentum, and total energy along with a supplementary transport equation for the volume fraction of the gas phase. The study focuses on the maximum pressure generated by the bubble collapse. The influence of the strength of the incident shock is investigated. A law for the maximum pressure function of the Mach number of the incident shock is proposed.

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Section: Introductionmentioning

confidence: 99%

Simulation of shock-induced bubble collapse using a four-equation model

2018

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“…Colella et al [11] obtained also the same kind of accuracy results for the case of a wave propagating in a straight circular channel, with another cutcell method generalizing the work of Pember et al [31]. Hu et al [18] devised a cut cell method based on a level-set description of the interface and a mixing procedure to merge small fluid cells with their neighbours. For a moving wall problem, they obtained an order two accuracy for the global error, and a slightly superior to one error on the boundary.…”

Section: Introductionmentioning

confidence: 77%

“…It is based on Taylor expansions of the solution on each side of the interface. The "cutcell" approach belongs also to this class, and was mainly developed for compressible flows, see for example [31], [42], [25], [11], [18]. These methods preserve conservation properties near the boundary.…”

Section: Introductionmentioning

confidence: 99%

A simple second order cartesian scheme for compressible Euler flows

Gorsse

Iollo

Telib

et al. 2012

Journal of Computational Physics

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To cite this version: AbstractWe present a finite-volume scheme for compressible Euler flows where the grid is cartesian and it does not fit to the body. The scheme, based on the definition of an ad hoc Riemann problem at solid boundaries, is simple to implement and it is formally second order accurate. Error convergence rates with respect to several exact test cases are investigated and examples of flow solutions in one, two and three dimensions are presented.

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“…In order to describe the sharp interface between Zones 1 and 2 (contact discontinuity), a conservative interface tracking method [14,15] developed for compressible multifluids was implemented. The interface was described by the levelset method [21]: a signed distance function was introduced, Another approach to taking into account the interaction on the contact discontinuity is the Ghost Fluid Method [22] which was also implemented and applied to test simulations.…”

Section: Methodsmentioning

confidence: 99%

“…The interface pressure, , as well as its propagation velocity, , is obtained as a solution to the Riemann problem. Given the instantaneous "left" and "right" states in water and lead, respectively, the following relationships determining the interface conditions can be obtained by the method of characteristics (see, e.g., [14,15]):…”

Section: Governing Equationsmentioning

confidence: 99%

Pressure Waves due to Rapid Evaporation of Water Droplet in Liquid Lead Coolant

Yakush

Iskhakov

Мелихов

et al. 2018

Science and Technology of Nuclear Installations

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Flash evaporation of a superheated water droplet in heavy liquid metal coolant (lead) is considered, in application to the analysis of a lead-cooled fast reactor steam generator tube rupture accident. The model is based on thermodynamic equilibrium formulation for the expanding water-steam mixture and inviscid compressible formulation for the surrounding liquid lead, with the interface conditions determined from the solution of the Riemann problem. Numerical solution is performed in the spherically symmetric geometry using a conservative numerical scheme with a moving sharp interface. Transient pressure and velocity profiles in each phase are presented for the parameters typical of the steam generator tube rupture accidents, demonstrating the process of boiling water expansion and pressure wave formation in the coolant. The results obtained are compared with a simplified model which considers the volume-averaged parameters of boiling water droplets and considers coolant as an incompressible liquid. Good agreement between the full and simplified models is demonstrated. Impacts of coolant flow on structures caused by pressure wave propagation and subsequent coolant flow are discussed.

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A conservative interface method for compressible flows

Cited by 223 publications

References 41 publications

Simulation of shock-induced bubble collapse using a four-equation model

Simulation of shock-induced bubble collapse using a four-equation model

A simple second order cartesian scheme for compressible Euler flows

Pressure Waves due to Rapid Evaporation of Water Droplet in Liquid Lead Coolant

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