Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Calculation of the Pressure Field for Turbulent Flow Around a Surface Mounted Cube Using the SIMPLE Algorithm and PIV Data

Version 1 : Received: 28 March 2022 / Approved: 30 March 2022 / Online: 30 March 2022 (04:40:11 CEST)

A peer-reviewed article of this Preprint also exists.

Pallas, N.-P.; Bouris, D. Calculation of the Pressure Field for Turbulent Flow around a Surface-Mounted Cube Using the SIMPLE Algorithm and PIV Data. Fluids 2022, 7, 140. Pallas, N.-P.; Bouris, D. Calculation of the Pressure Field for Turbulent Flow around a Surface-Mounted Cube Using the SIMPLE Algorithm and PIV Data. Fluids 2022, 7, 140.

Abstract

Calculation of the pressure field on and around solid bodies exposed to external flow is of paramount importance to a number of engineering applications. However, conventional pressure measurement techniques are inherently linked to problems principally caused by their point-wise and/or intrusive nature. In the present paper, we attempt to calculate the time-averaged two-dimensional pressure field by integrating PIV (Particle Image Velocimetry) velocity measurements into a CFD code and modifying them by the respective correction step of the SIMPLE algorithm. Boundary conditions are applied from the PIV data as a three-layer area of constant velocities, adjacent to the boundaries. A novel characteristic of the approach is the straightforward inclusion of the Reynolds Stresses into the source terms of the momentum equations, calculated directly from the PIV statistics. The methodology is applied to three regions of the symmetry plane parallel to the main boundary layer flow past a surface mounted cube. In spite of findings of deviations from the planar 2D flow assumption, the derived pressure fields and the adjusted velocity fields are found to be reliable, while the intrinsic turbulent nature of the flow is considered without modelling of the Reynolds stresses.

Keywords

CFD; PIV; experimental fluid mechanics; pressure calculation; SIMPLE; Reynolds Stresses; measurement integration)

Subject

Engineering, Mechanical Engineering

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