Analysis of the error propagation dynamics of PIV-pressure

This study aims to analyze the dynamics of error propagation in the PIV-pressure analysis and suggests two approaches: I) a formal analysis and II) corresponding algorithms for optimal sensor placement that minimize the error propagation from the measured data to the computed pressure field. By analyzing the Poisson problem together with boundary conditions, the optimal sensor placement can be determined in advance, which would minimize the error in measurements. However, since there may be multiple locations that could be considered as good options, this task can be treated as an optimization problem. Therefore, a machine learning algorithm will be utilized to narrow down the possible cases and identify the best location for the sensor placement. Based on the formal analysis from I), we design algorithms to determine the optimal sensor placement that works for engineering and applications purposes. As a final goal, we want to estimate the optimal number and optimal location of sensors to fully describe the pressure field.

Faculty Supervisor:

Zhao Pan

Student:

Partner:

National University of Kyiv-Mohyla Academy

Discipline:

Engineering

Sector:

Technology; Artificial Intelligence

University:

University of Waterloo

Program: