High-order overset grid method for detecting particle impaction on a cylinder in a cross flow

TL;DR

This paper introduces a high-order overset grid method integrated into the Pencil Code to accurately simulate particle impaction on a cylinder in cross flow, demonstrating improved accuracy and efficiency over previous DNS methods.

Contribution

The paper develops and validates a high-order overset grid approach for particle-laden flow around a cylinder, enhancing simulation accuracy and computational efficiency.

Findings

Achieved high-order accuracy for steady flow velocity components.

Reproduced vortex shedding flow results consistent with literature.

Demonstrated reduced computational cost and improved particle impaction predictions.

Abstract

An overset grid method was used to investigate the interaction between a particle-laden flow and a circular cylinder. The overset grid method was implemented in the Pencil Code , a high-order finite-difference code for compressible flow simulation. High-order summation-by-part operators were used at the cylinder boundary, and both bi-linear Lagrangian and bi-quadratic spline interpolation was used to communicate between the background grid and the body-conformal cylindrical grid. The performance of the overset grid method was assessed to benchmark cases of steady and unsteady flows past a cylinder. For steady flow at low Reynolds number, high-order accuracy was achieved for velocity components. Results for flow in the vortex shedding regime showed good agreement to the literature. The method was also applied to particle-laden flow simulations, where spherical point particles were inserted upstream of the cylinder. These inertial particles were convected towards and (possibly) past the cylinder. The simulations reproduced data from the literature at a significantly reduced cost, revealing that the previously published DNS data is less accurate than assumed for particles with very small Stokes numbers.