Deriving Six Components of Reynolds Stress Tensor from Single-ADCP Data

Verification of Reynolds stress parameterizations from simulations

Key words hydrodynamics – methods: numerical – turbulence We determine the timescales associated with turbulent decay and isotropization in closure models using anisotropically forced and freely decaying turbulence simulations and study the applicability of these models. We compare the results from anisotropically forced three-dimensional numerical simulations with the predictions of the closur...

Deriving Meaning From the Data

Deriving a Relationship from a Single Example

Given an appropriate domain specific language (DSL), it is possible to describe the relationship between Haskell data types and many generic functions, typically type-class instances. While describing the relationship is possible, it is not always an easy task. There is an alternative – simply give one example output for a carefully chosen input, and have the relationship derived. When deriving...

Geometric evolution of the Reynolds stress tensor in three-dimensional turbulence

The dynamics of the Reynolds stress tensor is given by an evolution equation coupling geometrical effects and turbulent source terms. The effects of the mean flow geometry are shown up when the source terms are neglected. In this case, the Reynolds stress tensor is expressed as the sum of three tensor products of vector fields only associated with the mean flow. The vector fields are governed b...

Direct solution for the anisotropy tensor in explicit algebraic Reynolds stress models

(cnL + cn−1L + · · ·+ c0I)(x) = 0, for all x ∈ V , cn = 1, cn−1 = −tr (L), · · · c0 = (−1) det(L), c−1 = 0, where I is the identity operator and all ck depend only on L. However, a special form of φ may imply that x also has a specific structure and on this contracted set an m power of L(x) can be expressed through a sum of lower powers with m < n. Consequently, computing the powers of the firs...