We propose a hybrid method for simulating multiphase fluids such as bubbly water. The appearance of subgrid visual details is improved by incorporating a new bubble model based on smoothed particle hydrodynamics (SPH) into an Eulerian grid-based simulation that handles background flows of large bodies of water and air. To overcome the difficulty in simulating small bubbles in the context of the multiphase flows on a coarse grid, we heuristically model the interphase properties of water and air by means of the interactions between bubble particles. As a result, we can animate lively motion of bubbly water with small scale details efficiently.
Developing suitable interpolation methods to simulate dynamic motions of continuous materials such as fluids is an important problem. In this paper, we propose a novel method to enforce the divergence condition to the interpolated velocity field by moving least squares, by means of the diffusive derivatives and moving divergence constraints that allow the practical use and easy implementation. As results, we present the velocity interpolation examples and a fluid-like particle simulation method to show the meaningful potential of our method as a tool of physical interpolation for fluid simulations.
We suggests a new framework for enforcing the divergence-free condition on a velocity field. In this framework, the incompressibility is achieved by summing all the other nodal vorticities rather than via solving the Poisson equation. Our method is very simple to implement in both two and three dimensions and able to substitute for the conventional pressure projection step of the fluid simulation. In contrast with the pressure projection step, the proposed method can be efficiently parallelizable on multi-core or GPU architectures.
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