Abstract: A turbulent flow estimation apparatus and method provides for the measurement of turbulent flow through the introduction of particles which characterize the flow, the detection of extents of turbulent flow regions, the assignment of a plurality of primitive shapes to those turbulent flow regions, and the assignment of individual characteristics to each of the primitive shapes of the estimate, including center location, rotational velocity of the primitive shape, identification of the rotational axis of the primitive shape, and the temporal trajectory of the primitive shapes.

Abstract: The Transformer with an Interface of Built-In Geometry and Spatial Units in combination as interactive tools for control automation in motion detects and analyzes the dynamics of nodes and elements and automates a hybrid process of creating two types of equilibriums: Conforming Equilibrium automates geometry that conforms to dynamics of detected elements and nodes of a system in motion to lock into the motion, while Desired Equilibrium geometries are generated to achieve desired dynamism of the elements and nodes by controlling their dynamics. Another function of the Transformer is to attach physical or non-physical objects to nodes or elements for other purposes and operations. The Translator is a device which uses invented Interface and Transformer to translate elements and nodes or any other mathematical, geometrical, or symbolic expression into a standard geometric expression or an approximation of the expression utilizing the built-in functionalities of the Invention.