M. Antuono

Free-surface flows solved by means of SPH schemes with numerical diffusive terms

A novel system of equations has been defined which contains diffusive terms in both the continuity and energy equations and, at the leading order, coincides with a standard weakly-compressible SPH scheme with artificial viscosity. A proper state equation is used to associate the internal energy variation to the pressure field and to increase the speed of sound when strong deformations/compressions of the fluid occur. The increase of the sound speed is associated to the shortening of the time integration step and, therefore, allows a larger accuracy during both breaking and impact events. Moreover, the diffusive terms allows reducing the high frequency numerical acoustic noise and smoothing the pressure field. Finally, an enhanced formulation for the second-order derivatives has been defined which is consistent and convergent all over the fluid domain and, therefore, permits to correctly model the diffusive terms up to the free surface. The model has been tested using different free surface flows clearly showing to be robust, efficient and accurate. An analysis of the CPU time cost and comparisons with the standard SPH scheme is provided.

An Hamiltonian interface SPH formulation for multi-fluid and free surface flows

In the present work a new SPH model for simulating interface and free surface flows is presented. This formulation is an extension of the one discussed in Colagrossi and Landrini (2003) and is related to the one proposed by Hu and Adams (2006) to study multi-fluid flows. The new SPH scheme allows an accurate treatment of the discontinuity of quantities at the interface (such as the density), and permits to model flows where both interfaces and a free surface are present. The governing equations are derived following a Lagrangian variational principle leading to an Hamiltonian system of particles. The proposed formulation is validated on test cases for which reference solutions are available in the literature.

Next-generation Multi-mechanics Simulation Engine in a Highly Interactive Environment

We describe the development of a highly interactive approach to simulation of engineering multi-mechanics problems, using the smoothed particle hydrodynamics mesh-free method as the computational engine, for applications including ship survival, medical devices and Pelton turbines.

SPH Multiphase Simulation of Bubbly Flows: Towards Oil and Water Separation

The multi-fluid SPH formulation by [1] is studied in the context of engineering flows encountered in the offshore industry where bubbly flows are of importance in some production processes. These particular flows being dominated by viscous and surface tension effects, the considered formulation includes models of these physical effects. This model is then used to simulate viscous incompressible bubbly flows of increasing complexity. These flows include the merging of two bubbles, the separation process in a bubbly flow in a closed tank and then in a simplified separator. Results are compared to numerical solutions when available. The influence of the Bond number on these interfacial flow evolutions is investigated in detail.Copyright