A lagrangian lattice boltzmann method for euler equations |
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Authors: | Yan Guangwu |
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Affiliation: | (1) Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, 100080 Beijing, China;(2) Department of Mathematics, Jilin University, 130023 Changchun, China |
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Abstract: | A Lagrangian lattice Boltzmann method for solving Euler equations is proposed. The key step in formulating this method is the introduction of the displacement distribution function. The equilibrium distribution function consists of macroscopic Lagrangian variables at time stepsn andn+1. It is different from the standard lattice Boltzmann method. In this method the element, instead of each particle, is required to satisfy the basic law. The element is considered as one large particle, which results in simpler version than the corresponding Eulerian one, because the advection term disappears here. Our numerical examples successfully reproduce the classical results. |
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Keywords: | Lagrangian lattice Boltzmann method displacement distribution functions Lagrangian coordinates Euler equations |
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