An invariant theory approach to the problem of closure

✍ Scribed by George Trevino

• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 683 KB
• Volume: 22
• Category: Article
• ISSN: 0006-8314
• DOI: 10.1007/bf00124705

✦ Synopsis

A solution to the kinematical aspects of the problem of closure, from the standpoint of the theory of tensor invariants, is presented. The solution is effected for isotropic turbulence by employing a 'modified tensor invariant theory and it is shown how a similar approach will lead to the solution of the corresponding closure problem for a simple type of nonhomogeneous turbulence. A geometric significance is attached to the results of this approach by introducing the concept of a 'multiplicative product' of two vectors. The theoretical results are applied to the case of isotropic atmospheric turbulence. The kinetical implication of the proposed solution to the problem is discussed.