Abstract
Abstract
Highlights
The literature on aerodynamic forces on bodies associated with proper orthogonal decomposition (POD) or any other Galerkin model is surprisingly sparse
We propose an aerodynamic force model associated with a Galerkin model for the unforced fluidic pinball, the two-dimensional flow around three equal cylinders with one radius distance to each other
‘While POD modes and the low order model allow for accurate reconstruction of the flow field and preserve Lagrangian coherent structures, it is not clear that this model is directly useful for reconstructing body forces quickly and accurately, since lift and drag forces depend nonlinearly on the flow field, meaning that contributions from different POD modes cannot be added independently’
Summary
The literature on aerodynamic forces on bodies associated with proper orthogonal decomposition (POD) or any other Galerkin model is surprisingly sparse. The starting point of our investigation is a working Galerkin model based on a low-dimensional modal expansion of an incompressible viscous fluid flow around a stationary body. Noca et al (1999) offered an expression for the unsteady forces on an immersed body in an incompressible flow, which only requires knowledge of the velocity field and its time derivative. Based on this idea, Liang & Dong (2014) presented a velocity POD mode force survey method to measure the forces from POD modes on a flat plate.
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