Solving One Dimension Conservation Euler Equation Using Fifth-Order WENO-Boltzmann Method

Wei Zhong; Zhou Tian

doi:10.4028/www.scientific.net/AMR.616-618.2251

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 616-618Solving One Dimension Conservation Euler Equation...

Solving One Dimension Conservation Euler Equation Using Fifth-Order WENO-Boltzmann Method

Abstract:

A fifth order WENO-Boltzmann method for solving the one dimension conservation Euler equation was developed. A generalized lattice Boltzmann distribution function was defined, which could be calculated by the WENO difference schemes. Then the solving of the one dimension conservation Euler equation became the solving of the generalized lattice Boltzmann distribution function by the WENO difference schemes. The method kept the benefits of the WENO method such as the high precision and high resolution, and provided a new way to construct the lattice Boltzmann models for solving the Euler equation.

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Periodical:

Advanced Materials Research (Volumes 616-618)

Pages:

2251-2254

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.616-618.2251

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Online since:

December 2012

Authors:

Wei Zhong, Zhou Tian

Keywords:

Conservation Euler Equation, Fifth Order WENO Schemes, Lattice Boltzmann Method, SOD Shock, TVD Runge-Kutta Method

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