A space-time framework for periodic flows with applications to hydrofoils

TL;DR

This paper introduces a novel space-time isogeometric analysis framework for accurately computing periodic flows, demonstrated through applications to hydrofoils with high precision and conservation properties.

Contribution

The paper develops a higher-order smooth space-time isogeometric framework with residual-based multiscale modeling and weak boundary conditions for periodic flow simulations.

Findings

Accurate computation of hydrofoil flows with coarse meshes.

Conservation properties are maintained in the numerical method.

Effective force extraction method demonstrated.

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.