在光谱多重放松时间格子博尔茨曼模型中的自相一致的力图
Xuhui Li1, Zuoxu Li2, Wenyang Duan1
1College of ShipBuilding Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, China.
Physical review. E
|February 17, 2024
概括
这项研究为光谱多重放松时间格子博尔兹曼模型衍生了新的力项. 这种方法确保了同热和热流的自我一致性,改进了数值模拟.
科学领域:
- 计算流体动力学的流体动力学.
- 数字分析 数字分析
- 统计力学 统计力学
背景情况:
- 格子博尔兹曼法 (LBM) 是流体动力学的一种强大的数值技术.
- 对LBM模拟,特别是复杂流程,准确纳入力项至关重要.
- 对于高阶LBM中的力项的现有方法可能缺乏自我一致性.
研究的目的:
- 为光谱多重放松时间高阶格子博尔茨曼模型推导一种新的力术语.
- 在同热和热流模拟中确保力项的自我一致性.
- 为推导力术语的实际数值实现提供一个框架.
主要方法:
- 博尔兹曼方程的力项在赫米特温度重新缩放的中心动量 (RCM) 空间中的扩展.
- 忽略了更高阶不平衡的RCM时刻.
- 将力项纳入RCM碰撞运算符.
- 在RCM和原始时刻 (RM) 空间之间进行数字化实现的转换.
主要成果:
- 为光谱MRT高阶LBM衍生出一个新的力项方案.
- 导出的力项被证明是对等热流的自我一致的.
- 该方案还表明,对于具有可调整的普兰特尔数的可压缩热流,该方案是自相一致的.
- 数值实验验证实了新力项的自我一致性和适用性.
结论:
- 开发的力量术语方案是高阶LBM的一个重大进步.
- 该方法为模拟同热和热流体流动提供了更高的准确性和可靠性.
- 这项工作提供了一种强大的方法,用于将力项纳入先进的LBM.
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