Thermoacoustic simulation with lattice gas automata

Chen, Y.; Liu, X.; Zhang, X. Q.; Yang, Cheng; Li, Z. C.

doi:10.1063/1.1669075

Cited by 7 publications

(3 citation statements)

References 8 publications

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“…The application of CFD techniques to the study of thermoacoustics is also not new: Worlikar et al 24 simulated the flow around two parallel stack plates and also studied the deviations from linear theory at high drive amplitude; 25 Marx and Blanc-Benon 26 studied the deviation of the temperature amplitude from linear theory as well as examining the interactions of the stack and the heat exchanger; 27 and Chen et al 28 simulated all the elements of a thermoacoustic device together in a full system using a lattice gas simulation. Only Chen et al used a lattice gas simulation out of this list, but both types of models reproduce the same fluid physics.…”

Section: Introductionmentioning

confidence: 98%

Thermoacoustic properties of fibrous materials

Jensen

Raspet

2010

The Journal of the Acoustical Society of America

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The thermoacoustic properties of fibrous materials are studied using a computational fluid simulation as a test of proposed analytical models for propagation in porous materials with an ambient temperature gradient. The acoustic properties of porous materials have been understood in terms of microstructural models that approximate the material as an array of pores with empirical shape factors used to fit the pore theory to the material. An extension of these theories of acoustics to the thermoacoustic case with an ambient temperature gradient has been proposed by Roh et al. [J. Acoust. Soc. Am. 121, 1413-1422 (2007)] and a model based on Wilson's relaxation approximation for porous acoustics [J. Acoust. Soc. Am. 94, 1136-1145 (1993)] is proposed herein, but the predictions of these analytical models have not been tested successfully against measurements. Accurately characterizing the effects of the applied temperature gradient in a wide bandwidth laboratory setup have proven difficult; as a result, the authors conducted a numerical simulation of propagation within a fibrous geometry in order to test the predictions of the analytical models. The results for several fibrous samples show that the models yield a reliable prediction of thermoacoustic performance from the shape factors and relaxation times.

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Section: Introductionmentioning

confidence: 98%

Thermoacoustic properties of fibrous materials

Jensen

Raspet

2010

The Journal of the Acoustical Society of America

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“…The finding of the lattice symmetry condition started an avalanche of LGA models [ 31 ]. At present, the LGA has been developed to simulate some phenomena in hydrodynamics [ 30 ], chemistry [ 32 , 33 ], electromagnetics [ 34 ], thermoacoustics [ 35 ], economics [ 21 ], etc. In fact, the basic idea of LGA is that different microscopic behaviors can lead to similar macroscopic performance and artificial particles move on lattices with interactions which conserve physical quantities such as mass and momentum [ 31 ].…”

Section: Introductionmentioning

confidence: 99%

Lattice–Gas–Automaton Modeling of Income Distribution

Cui

Lin

2020

Entropy

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A simple and effective lattice–gas–automaton (LGA) economic model is proposed for the income distribution. It consists of four stages: random propagation, economic transaction, income tax, and charity. Two types of discrete models are introduced: two-dimensional four-neighbor model (D2N4) and D2N8. For the former, an agent either remains motionless or travels to one of its four neighboring empty sites randomly. For the latter, the agent may travel to one of its nearest four sites or the four diagonal sites. Afterwards, an economic transaction takes place randomly when two agents are located in the nearest (plus the diagonal) neighboring sites for the D2N4 (D2N8). During the exchange, the Matthew effect could be taken into account in the way that the rich own a higher probability of earning money than the poor. Moreover, two kinds of income tax models are incorporated. One is the detailed taxable income brackets and rates, and the other is a simplified tax model based on a fitting power function. Meanwhile, charity is considered with the assumption that a richer agent donates a part of his income to charity with a certain probability. Finally, the LGA economic model is validated by using two kinds of benchmarks. One is the income distributions of individual agents and two-earner families in a free market. The other is the shares of total income in the USA and UK, respectively. Besides, impacts of the Matthew effect, income tax and charity upon the redistribution of income are investigated. It is confirmed that the model has the potential to offer valuable references for formulating financial laws and regulations.

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“…As an effective stochastic methodology, the lattice-gas-automaton (LGA) is a simple kinetic model that is applicable to the hydrodynamics [17], chemistry [18], electromagnetics [19], thermoacoustics [20], and economics [21,22], etc.…”

Section: Introductionmentioning

confidence: 99%

A simple and efficient kinetic model for wealth distribution with saving propensity effect: based on lattice gas automaton

Cui,

Lin

2020

Preprint

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The dynamics of wealth distribution plays a critical role in the economic market, hence an understanding of its nonequilibrium statistical mechanics is of great importance to human society. For this aim, a simple and efficient one-dimensional (1D) lattice-gas-automaton (LGA) is presented for wealth distribution of agents with or without saving propensities. The LGA comprises two stages, i.e., random propagation and economic transaction. During the former phase, an agent either remains motionless or travels to one of its neighboring empty sites with a certain probability. In the subsequent procedure, an economic transaction takes place between a pair of neighboring agents randomly.It requires at least 4 neighbors to present correct simulation results. The LGA reduces to the simplest model with only random economic transaction if all agents are neighbors and no empty sites exist. The 1D-LGA has a higher computational efficiency than the 2D-LGA and the famous Chakraborti-Chakrabarti economic model. Finally, the LGA is validated with two benchmarks, i.e., the wealth distributions of individual agents and dual-earner families. Using the Gini coefficient and deviation degree, it is found that the wealth distributions

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Thermoacoustic simulation with lattice gas automata

Cited by 7 publications

References 8 publications

Thermoacoustic properties of fibrous materials

Thermoacoustic properties of fibrous materials

Lattice–Gas–Automaton Modeling of Income Distribution

A simple and efficient kinetic model for wealth distribution with saving propensity effect: based on lattice gas automaton

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