改进的格子博尔茨曼模型,用于在接口处具有高粘度梯度的不可混合的多组件系统
Ricardo L M Bazarin1, Christian Naaktgeboren2, Silvio L M Junqueira3
1Porous Media Research Group (PORO), Scientific Computational Laboratory, <a href="https://ror.org/041akq887">Federal University of Santa Catarina</a>, 89219-600 Joinville, SC, Brazil.
Physical review. E
|August 20, 2024
概括
我们为晶格博尔兹曼伪电位模型开发了新的离散方案,以准确模拟具有较大的粘度比的不混合流体流. 我们的方法增强了接口控制和稳定性,超过了以前的模型.
科学领域:
- 计算流体动力学的流体动力学.
- 多相流量建模多相流量建模
- 数字方法 数字方法.
背景情况:
- 格子博尔兹曼伪电位模型被广泛用于模拟流体流动.
- 准确的模拟不混合的流体,特别是具有较大的粘度比,仍然是一个挑战.
- 现有的模型可能会受到虚假电流和有限的稳定性的影响.
研究的目的:
- 为格子博尔兹曼伪潜在模型提出改进的离散方案.
- 增强不可压缩的多组件系统的建模,特别是对于较大的粘度比.
- 为了更好地控制接口动态并减少数值文物.
主要方法:
- 为格子博尔兹曼伪潜模型开发了替代的离散方案.
- 包含了一个明确的力量术语和第二阶段的流术语离谱化.
- 利用基于瞬间的模型用于动力不平衡分布和高阶空间导数离散.
- 研究了静态气泡,波泽耶流和流体流体移位场景.
主要成果:
- 实现了对接口区域和接口张力的改进控制.
- 证明了较小的虚电流大小与越来越大的粘度比.
- 与现有文献相比,表现出明显更广泛的稳定范围.
- 通过对静态气泡,Poiseuille流和流体流体位移的模拟来验证准确性.
结论:
- 拟议的离散方案为多组件系统提供了伪潜在模型的强大而简单的扩展.
- 改进的模型提供了卓越的准确性和稳定性,用于模拟具有较大的粘度比率的不混合流体流动.
- 这项工作有助于在各种工程应用中更可靠的计算流体动力学模拟.
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