A New Model for Turbulence Based on the Hydrodynamics-Electromagnetism Analogy

基于流体动力学-电磁学类比的新湍流模型

• 批准号: 9619232
• 负责人: George Karniadakis
• 金额: $ 6万
• 依托单位: Brown University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-15 至 1999-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9619232&HistoricalAwards=false
• 关键词: New; Model; Turbulence; Based; Hydrodynamics

Abstract Proposal Number: CTS-9619232 Principal Investigator: Karniadakis This is a proposal to explore a different approach to turbulence modeling based on a new generalized analogy between hydrodynamic turbulence and electromagnetism. The new analogy originates from the Maxwell equations, which completely describe the electromagnetic fields in all cases and not simply the induction laws, which have been previously used to develop the classical analogy. The new correspondence is between vorticity and magnetic field, and Lamb vector and the electric field. Appropriately averaged, as in standard large-eddy simulation (LES) approaches, the new system leads to a linear set of equations, which reduces to a second-order wave equation for the locally averaged vorticity and Lamb vector fields. Because of the linearity of the system in these variables, the superposition principle can be used to construct solutions for complex-geometry flows using analytical/numerical solutions in simpler domains.

摘要建议编号：CTS-9619232首席研究员：卡尼亚达基斯这是一项基于流体动力湍流和电磁之间新的广义类比来探索湍流建模的不同方法的建议。新的类比起源于麦克斯韦方程，它完全描述了所有情况下的电磁场，而不是简单的感应定律，后者以前被用来发展经典类比。新的对应关系是涡度与磁场、兰姆矢量与电场之间的对应关系。与标准的大涡模拟(LES)方法一样，经过适当的平均，新系统得到了一组线性方程，对于局部平均的涡度和Lamb矢量场，它简化为一个二阶波动方程。由于系统在这些变量中的线性，叠加原理可用于在更简单的区域中使用解析/数值解来构造复杂几何流动的解。