Details

Autor(en) / Beteiligte

• Dong, Yinfeng
• Zhang, Jianying
• Yan, Guangwu

Titel

A higher-order moment method of the lattice Boltzmann model for the conservation law equation

Ist Teil von

• Applied mathematical modelling, 2010-02, Vol.34 (2), p.481-494

Ort / Verlag

Kidlington: Elsevier Inc

Erscheinungsjahr

2010

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• In this paper, we proposed a higher-order moment method in the lattice Boltzmann model for the conservation law equation. In contrast to the lattice Bhatnagar–Gross–Krook (BGK) model, the higher-order moment method has a wide flexibility to select equilibrium distribution function. This method is based on so-called a series of partial differential equations obtained by using multi-scale technique and Chapman–Enskog expansion. According to Hirt’s heuristic stability theory, the stability of the scheme can be controlled by modulating some special moments to design the third-order dispersion term and the fourth-order dissipation term. As results, the conservation law equation is recovered with higher-order truncation error. The numerical examples show the higher-order moment method can be used to raise the accuracy of the truncation error of the lattice Boltzmann scheme for the conservation law equation.