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

Abstract

An overset grid method was used to investigate the interaction between a particle-laden flow and a circular cylinder. The overset grid method is 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 particleladen 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.

Nonconforming Schwarz-spectral element methods for incompressible flow

“…Most of these implementations, however, are at most fourthorder accurate in space [9,11,15,16,17,18]. Sixth-order finite-difference based methods have been presented in [19,13], while sixthorder finite volume based schemes are available in elsA [20]. A spectral element based Schwarz method presented by Merrill et.…”

The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained

“…• Flows around immersed solid objects (Aarnes, Haugen, and Andersson 2019;Aarnes et al 2020;Haugen and Kragset 2010), • Test-field method for turbulent MHD transport (Rheinhardt and Brandenburg 2010;Warnecke et al 2018), • Mean-field MHD (Kemel et al 2013;Jabbari et al 2013), • Spherical shell dynamos and convection (Mitra et al 2009;Käpylä et al 2020)…”

The Pencil Code, a modular MPI code for partial differential equations and particles: multipurpose and multiuser-maintained

“…• Flows around immersed solid objects (Aarnes et al, 2019(Aarnes et al, , 2020; N. E. L. Haugen & Kragset, 2010), • Test-field method for turbulent MHD transport (A. Warnecke et al, 2018), • Mean-field MHD (Jabbari et al, 2013;Kemel et al, 2013),…”