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

项目编号：CTS-9619232项目负责人：Karniadakis这是一份基于流体动力湍流和电磁学之间新的广义类比来探索一种不同的湍流建模方法的提案。新的类比源于麦克斯韦方程，它完全描述了所有情况下的电磁场，而不仅仅是以前用于发展经典类比的感应定律。新的对应关系是涡度与磁场、兰姆向量与电场的对应关系。与标准的大涡模拟（LES）方法一样，经过适当的平均，新系统得到一组线性方程，这些方程可简化为局部平均涡度和兰姆向量场的二阶波动方程。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域中使用解析/数值解来构建复杂几何流的解。

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.