Smoothed Particle Hydrodynamics Enhanced With Unstructured Finite-Volume Method for Low-Speed Flows With Moving Boundaries

Abstract

In this study, the conventional smoothed particle hydrodynamics is enhanced by coupling it with an unstructured finite-volume scheme for solving flows near the moving boundary, particularly in wall-bounded turbulence, capable of both robustly capturing free surface flows and accurately resolving flows near the wall. A mesh domain is deployed encompassing the moving object, and the corresponding flow field is resolved using an unstructured arbitrary Lagrangian-Eulerian finite-volume scheme. Beyond the mesh domain, the flows are resolved using the particle-based smoothed particle hydrodynamics scheme. Under the turbulence circumstance, the large-eddy simulation model is incorporated into the governing equations, and the wall-modeled large-eddy simulation based on the reduced-order wall model is adopted when the flows near the wall boundary are under-resolved. Regarding the coupling between finite-volume and smoothed particle hydrodynamics domains, the smoothed particle hydrodynamics particles are divided into activated and non-activated particles, and the field values of non-activated particles are interpolated from the finite-volume domain; for the finite-volume domain, the interface points, serving as flux inputs into the finite-volume domain, are deployed on the finite-volume domain boundary, where the field values of the interface points are interpolated from the activated smoothed particle hydrodynamics particles. A set of two-dimensional and three-dimensional cases with low and high Reynolds numbers is simulated using the present method, which presents good accuracy and efficiency and is particularly suitable for simulating turbulent flows. Overall, the proposed method can serve as a remarkable enhancement to the conventional smoothed particle hydrodynamics scheme to reliably predict low-speed wall-bounded flows with moving boundaries.