A computationally efficient 3D finite-volume scheme for violent liquid-gas sloshing

作者：Oxtoby O F^*; Malan A G; Heyns J A

来源：International Journal for Numerical Methods in Fluids, 2015, 79(6): 306-321.

DOI：10.1002/fld.4055

• finite volume method
• free-surface modelling
• volume of fluid method
• sloshing
• surface capturing
• matrix free
• parallel computing

We describe a semi-implicit volume-of-fluid free-surface-modelling methodology for flow problems involving violent free-surface motion. For efficient computation, a hybrid-unstructured edge-based vertex-centred finite volume discretisation is employed, while the solution methodology is entirely matrix free. Pressures are solved using a matrix-free preconditioned generalised minimum residual algorithm and explicit time-stepping is employed for the momentum and interface-tracking equations. The high resolution artificial compressive (HiRAC) volume-of-fluid method is used for accurate capturing of the free surface in violent flow regimes while allowing natural applicability to hybrid-unstructured meshes. The code is parallelised for solution on distributed-memory architectures and evaluated against 2D and 3D benchmark problems. Good parallel scaling is demonstrated, with almost linear speed-up down to 6000 cells per core. Finally, the code is applied to an industrial-type problem involving resonant excitation of a fuel tank, and a comparison with experimental results is made in this violent sloshing regime.

• 出版日期2015-10-30