阶段场格子博尔兹曼模型具有可调整的散装粘度,用于准不可压缩的两相流
Jin Bao1, Long Ju2, Zhaoli Guo3
1Huazhong University of Science and Technology, State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Wuhan 430074, China.
Physical review. E
|November 18, 2025
概括
一个新的格子博尔兹曼模型增强了高雷诺兹数二相流的数值稳定性. 通过调整散装粘度,它可以抑制振荡,改善复杂流体动态的模拟.
科学领域:
- 计算流体动力学的流体动力学.
- 流体力学 流体力学 流体力学
- 阶段场理论 阶段场理论
背景情况:
- 在高雷诺兹数下模拟双相流动会给数值稳定性带来挑战.
- 现有的格子博尔兹曼模型经常在速度和压力场的振荡中扎.
- 几乎不可压缩的相场理论为建模这种流提供了一个框架.
研究的目的:
- 为高雷诺斯数的二相流提供一种新的格子博尔兹曼模型.
- 通过引入可调整的散装粘度来增强数值稳定性.
- 通过各种数值测试来验证模型的准确性和稳定性.
主要方法:
- 开发了一个使用两个合方程的格子博尔兹曼模型:一个用于卡恩-希利亚德方程,另一个用于准不可压缩的纳维埃-斯托克斯方程.
- 纳维尔-斯托克斯溶解器包含一个平衡分布函数,有一个自由参数来控制流的压缩性和调整散装粘度.
- 在格子博尔兹曼框架内使用单个放松时间碰撞操作员.
主要成果:
- 拟议的模型成功模拟了各种两相流动场景,包括剪切层,静态滴,雷利-泰勒不稳定性和上升的泡.
- 增强的批量粘度有效地抑制了速度和压力场中的高频振荡.
- 证明了在高雷诺兹数下模拟两相流量的数值稳定性.
结论:
- 开发的格子博尔茨曼模型为模拟高雷诺兹数二相流提供了准确而稳定的方法.
- 可调整的散装粘度是缓解这些模拟中的数值不稳定性的关键因素.
- 该模型显示了复杂流体动力学研究中应用的巨大潜力.
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