Second-order force scheme for lattice Boltzmann model of shallow water flows

Second-order force scheme for lattice Boltzmann model of shallow water flows
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浅水流格子玻尔兹曼模型的二阶力格式

DOI:
10.1080/00221686.2017.1286392
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发表时间:
2017-02
影响因子:
2.3
通讯作者:
Meng Jianping
Meng Jianping
中科院分区:
工程技术3区
文献类型:
--
作者:
Peng Yong;Zhang Jianmin;Meng Jianping

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摘要 在浅水方程的格子玻尔兹曼模型中引入了时间和空间二阶精度的力格式。该方案在单一松弛框架内通过使用凸块上的一维稳定流、两个一维溃坝流和一个二维非稳定溃坝流进行了测试。结果发现,与之前浅水格子玻尔兹曼模型中的力处理相比,这种二阶力方案能够及时提高计算精度。此外,该方案还可以合并到多重松弛时间模型中。
ABSTRACT A force scheme of second-order accuracy in both time and space has been introduced into the lattice Boltzmann model for shallow water equations. The scheme is tested within the single relaxation framework by using a one-dimensional steady flow over a bump, two one-dimensional dam-break flows and a two-dimensional unsteady dam-break flow. It is found that this second-order force scheme can improve the computational accuracy in time compared with the previous force treatment in the lattice Boltzmann model for shallow water. Moreover, the scheme can be also incorporated in the multiple-relaxation-time models.
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