A space-time framework for periodic flows with applications to hydrofoils
Numerical Analysis
2022-11-22 v1 Numerical Analysis
Fluid Dynamics
Abstract
In this paper we propose a space-time framework for the computation of periodic flows. We employ the isogeometric analysis framework to achieve higher-order smoothness in both space and time. The discretization is performed using residual-based variational multiscale modelling and weak boundary conditions are adopted to enhance the accuracy near the moving boundaries of the computational domain. We show conservation properties and present a conservative method for force extraction. We apply our framework to the computation of a heaving and pitching hydrofoil. Numerical results display very accurate results on course meshes.
Cite
@article{arxiv.2211.10964,
title = {A space-time framework for periodic flows with applications to hydrofoils},
author = {J. Lotz and M. ten Eikelder and I. Akkerman},
journal= {arXiv preprint arXiv:2211.10964},
year = {2022}
}