A numerical method for one‐dimensional compressible multiphase flows on moving meshes

Saurel, Richard; Massoni, Jacques; Renaud, François

doi:10.1002/fld.1428

Cited by 7 publications

(4 citation statements)

References 31 publications

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“…The un-split method, also referred to as a direct-ALE method, reformulates the governing equations in a moving reference frame and solves the grid motion and fluid flow simultaneously in a single step [26,[28][29][30][31][32][33][34][35]. Saurel et al [36] applied the DEM on moving meshes using the un-split direct-ALE approach. However, the method was restricted to onedimensional rectangular (Cartesian) geometries.…”

Section: Structural Interactionmentioning

confidence: 99%

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A Cell-Centered Multiphase ALE Scheme With Structural Coupling

Dunn

2012

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Section: Structural Interactionmentioning

confidence: 99%

“…This is often referred to as an arbitrary Lagrangian Eulerian (ALE) scheme. Saurel et al [36] used the DEM method on moving meshes for one-dimensional rectangular (Cartesian) geometries. This section will extend that method to higher dimensions and arbitrarily shaped control volume geometries.…”

Section: Ale Equationsmentioning

confidence: 99%

A Cell-Centered Multiphase ALE Scheme With Structural Coupling

Dunn

2012

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“…Furthermore, it seems likely that the other reasons are complexity and nonlinearity in the mathematical formulation of the problems and also some restrictions in implementing the known numerical methods. For instance it may be referred to a Lagrangian numerical method used in [17] for compressible multiphase flows, finite elements method in [1], a parallel unstructuredmultigrid preconditioned implicit method in [5] and an adjoint method in [10].…”

Section: Introductionmentioning

confidence: 99%

Shape optimization of an airfoil in the presence of compressible and viscous flows

Farhadinia

2009

Comput Optim Appl

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“…The model (1) has been solved by a quite recent numerical method named Discrete Equations Method (DEM) and has been hugely tested and validated in a large variety of applications. Interface problems as well as mixtures flows involving chemical or physical reactions have been achieved with such methodology in [1,4,5,11,13,16,18]. Relaxation phenomena may also be considered according to the flow conditions of the multiphase mixture.…”

Section: Introductionmentioning

confidence: 99%

Dynamic relaxation processes in compressible multiphase flows. Application to evaporation phenomena

2013

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Phase changes and heat exchanges are examples of physical processes appearing in many industrial applications involving multiphase compressible flows. Their knowledge is of fundamental importance to reproduce correctly the resulting effects in simulation tools. A fine description of the flow topology is thus required to obtain the interfacial area between phases. This one is responsible for the dynamics and the kinetics of heat and mass transfer when evaporation or condensation occurs. Unfortunately this exchange area cannot be obtained easily and accurately especially when complex mixtures (drops, bubbles, pockets of very different sizes) appear inside the transient medium. The natural way to solve this specific trouble consists in using a thin grid to capture interfaces at all spatial scales. But this possibility needs huge computing resources and can be hardly used when considering physical systems of large dimensions. A realistic method is to consider instantaneous exchanges between phases by the way of additional source terms in a full non-equilibrium multiphase flow model [2,15,17]. In this one each phase obeys its own equation of state and has its own set of equations and variables (pressure, temperature, velocity, energy, entropy,...). When enabling the relaxation source terms the multiphase mixture instantaneously tends towards a mechanical or thermodynamic equilibrium state at each point of the flow. This strategy allows to mark the boundaries of the real flow behavior and to magnify the dominant physical effects (heat exchanges, evaporation, drag,...) inside the medium. A description of the various relaxation processes is given in the paper.

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A numerical method for one‐dimensional compressible multiphase flows on moving meshes

Cited by 7 publications

References 31 publications

A Cell-Centered Multiphase ALE Scheme With Structural Coupling

A Cell-Centered Multiphase ALE Scheme With Structural Coupling

Shape optimization of an airfoil in the presence of compressible and viscous flows

Dynamic relaxation processes in compressible multiphase flows. Application to evaporation phenomena

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