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

摘要 提案编号：CTS-9619232主要研究者：Karniadakis 这是一个建议，探索一种不同的方法来湍流建模的基础上一个新的广义类比之间的流体动力学湍流和电磁。 新的类比源自麦克斯韦方程组，它完整地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。 新的对应关系是涡量和磁场，兰姆矢量和电场。适当平均，在标准的大涡模拟（LES）的方法，新系统导致一组线性方程，这减少到二阶波动方程的局部平均涡量和兰姆矢量场。 由于这些变量的系统的线性，叠加原理可以用于构造复杂几何形状的流动的解决方案，在简单的域中使用解析/数值解。

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.