A Moving Least Squares-Based High-Order-Preserving Sliding Mesh Technique with No Intersections

Abstract

The sliding mesh approach is widely used in numerical simulation of turbomachinery flows to take in to account the rotor/stator or rotor/rotor interaction. This technique allows relative sliding of one grid adjacent to another grid (static or in motion). However, when a high-order method is used, the interpolation used in the sliding mesh model needs to be of, at least, the same order than the numerical scheme, in order to prevent loss of accuracy. In this work we present a sliding mesh model based on the use of Moving Least Squares (MLS) approximations. It is used with a high-order (>2) finite volume method that computes the derivatives of the Taylor reconstruction inside each control volume using MLS approximants. Thus, this new sliding mesh model fits naturally in a high-order MLS-based finite volume framework (Cueto-Felgueroso et al., Comput Methods Appl Mech Eng 196:4712-4736, 2007; Khelladi et al., Comput Methods Appl Mech Eng 200:2348-2362, 2011 for the computation of acoustic wave propagation into turbomachinery. IntroductionRenewable sources of energy, such as wind and tidal power are expected to play a key role in the substitution of conventional energy sources. Wind energy generation systems have been greatly developed in the last two decades. Thus, current wind turbine designs are near their technical limit and new paradigms of design have to L. Ramírez • X. Nogueira ( ) • I. Colominas