Applied Mathematics seminar | Alexander Gurevich, Mathematical Model of Space-Time Development of Turbulent Structures, in Application to Flow Measurement

Space-time development of a turbulent velocity field, is an important subject in fluid dynamics, and the study of turbulence dynamics is important in many scientific fields. One application, is a method of flow measurement called Cross Correlation Flow Measurement, which is based on measuring the transport velocity of turbulent structures.

Cross correlation flow measurement has many advantages over more typically used flow measurement methods, but requires higher computational power. Advances in computer technology in recent decades have lead to wider use of this technology.

The Canadian company Advanced Measurement and Analysis Group Inc., (AMAG) is a developer and manufacturer of the cross correlation flow meter CROSSFLOW, and provides cross correlation flow measurement services to nuclear power plants around the world. In 2009, AMAG and De Montfort University (DMU), UK, initiated a joint project to develop a mathematical model of cross correlation flow measurement. A mathematical model of cross correlation flow measurement was developed, based on analysis of space-time development of a velocity field and vorticity field in turbulent flow. Laboratory testing was conducted to validate the model. Results of numerical simulations based on the model were in good agreement with laboratory test results. The mathematical model and numerical simulation method developed as part of this research, can be used to study how turbulent properties and times averaged properties within a flow, effect the space-times development of turbulent structures.

This presentation will give a brief description of cross correlation flow measurement, and its applications. The focus of the presentation will be on the developed mathematical model and numerical simulations, and their applicability to various mathematical and scientific problems.