A weak coupling between a near-wall Eulerian solver and a Vortex Particle-Mesh method for the efficient simulation of 2D incompressible external flows
(2023)
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- Abstract
- External flow simulations are ubiquitous throughout science and engineering, with e.g. biolocomotion, vehicle aero- or hydrodynamics, wind energy, … The targeted problems are quite challenging as they require the accurate capture of (1) the near-wall region in order to accurately measure the forces on the device surface, and also of (2) the wake when interacting with a downstream device. Academia and industry have thus far proposed two numerical solutions to tackle such flows. A first one consists in vorticity-based Lagrangian methods, or vortex methods in short. Such techniques enjoy some computational benefits that are particularly interesting for the resolution of the wake regions. However, vortex methods are ill-suited to capture high Reynolds number boundary layers because of their intrinsic isotropic computational elements. A second group of methods gathers Eulerian body-fitted grid solvers, such as finite differences, finite volumes, etc. They allow the use of anisotropic computational elements that conform to the body and are ideally suited to capture the boundary layers; their Eulerian handling of advection however causes them to fall behind in the capture of the wake because of the involved dispersion and diffusion errors. This naturally leads to the proposition of combining the complementary advantages of Lagrangian vortex methods and body fitted-grid solvers in a coupled approach. This thesis proposes a novel weak coupling to perform this in a computationally efficient manner. In particular, it improves upon pre-existing efforts that (a) often led to noisy, and thence not exploitable, aerodynamic forces, and (b) lacked robustness in the conservation of circulation.
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Billuart, P. (2023). A weak coupling between a near-wall Eulerian solver and a Vortex Particle-Mesh method for the efficient simulation of 2D incompressible external flows. https://hdl.handle.net/2078.5/233719