A moment method for splashing and evaporation processes of polydisperse sprays

Schneider, Lukas; Lostec, Nechtan Le; Villedieu, Philippe; Sadiki, A.

doi:10.1016/j.ijmultiphaseflow.2009.12.003

Cited by 10 publications

(8 citation statements)

References 25 publications

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“…Currently, this moment method is applied to tests for evaporating droplets. These tests in oneand two-dimensional configurations and the detailed explanations of the theory and the numerical methods will be presented in the forthcoming publication [7].…”

Section: Resultsmentioning

confidence: 99%

“…They are regarded as accurate reference solutions. The numerical algorithms for these tests will be explained in [7].…”

Section: Test Cases: Drag and Splashingmentioning

confidence: 99%

“…D'autres tests sont actuellement en cours, en une et deux dimensions d'espace, prenant également en compte les phénomènes d'évaporation. Les résultats de ces tests ainsi qu'une description détaillée de la méthode numérique utilisée feront l'objet d'une prochaine publication [7].…”

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“…Therefore, using (iv) in each section, g k can be inverted and a unique solution b k can be found from Eq. (7). With the solution for b k and (i), (ii) and (iii) we refer to [1] for the proof that, up to a permutation of (a 1 q , U 1 q ) with (a 2 q , U 2 q ), W k is uniquely determined by the set V k = {M …”

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confidence: 99%

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A moment method for polydisperse sprays

Schneider

Lostec

Villedieu

et al. 2009

Comptes Rendus. Mathématique

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Section: Resultsmentioning

confidence: 99%

“…They are regarded as accurate reference solutions. The numerical algorithms for these tests will be explained in [7].…”

Section: Test Cases: Drag and Splashingmentioning

confidence: 99%

unclassified

mentioning

confidence: 99%

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A moment method for polydisperse sprays

Schneider

Lostec

Villedieu

et al. 2009

Comptes Rendus. Mathématique

Self Cite

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“…The model was also extended for poly-disperse sprays [19] and the n3-node QMOM derived to achieve a higher accuracy [20].…”

Section: Introductionmentioning

confidence: 99%

A robust two-node, 13 moment quadrature method of moments for dilute particle flows including wall bouncing

Sun

Garmory

Page

2017

Journal of Computational Physics

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A robust two-node, 13 moment quadrature method of moments for dilute particle flows including wall AbstractFor flows where the particle number density is low and the Stokes number is relatively high, as found when sand or ice is ingested into aircraft gas turbine engines, streams of particles can cross each other's path or bounce from a solid surface without being influenced by inter-particle collisions. The aim of this work is to develop an Eulerian method to simulate these types of flow. To this end, a two-node quadrature-based moment method using 13 moments is proposed.In the proposed algorithm thirteen moments of particle velocity, including cross-moments of second order, are used to determine the weights and abscissas of the two nodes and to set up the association between the velocity components in each node. Previous Quadrature Method of Moments (QMOM) algorithms either use more than two nodes, leading to increased computational expense, or are shown here to give incorrect results under some circumstances. This method gives the computational efficiency advantages of only needing two particle phase velocity fields whilst ensuring that a correct combination of weights and abscissas are returned for any arbitrary combination of particle trajectories without the need for any further assumptions. Particle crossing and wall bouncing with arbitrary combinations of angles are demonstrated using the method in a two-dimensional scheme. The ability of the scheme to include the presence of drag from a carrier phase is also demonstrated, as is bouncing off surfaces with inelastic collisions. The method is also applied to the Taylor-Green vortex flow test case and is found to give results superior to the existing two-node QMOM method and in good agreement with results from Lagrangian modelling of this case.

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Quadrature-based moment methods for the population balance equation: An algorithm review

Gao

2019

Chinese Journal of Chemical Engineering

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A moment method for splashing and evaporation processes of polydisperse sprays

Cited by 10 publications

References 25 publications

A moment method for polydisperse sprays

A moment method for polydisperse sprays

A robust two-node, 13 moment quadrature method of moments for dilute particle flows including wall bouncing

Quadrature-based moment methods for the population balance equation: An algorithm review

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