A new Potential-based SPH Method

Abstract

In Computer Graphics the fluid simulation plays a relevant role. Amongst the existing methods, the SPH method is highlighted by its simplicity, versatility and adaptability. Nevertheless, several research show some limitations that affect both the stability and the realism of simulation. These limitations are related with the calculation of the mass density and the pressure gradient, mainly when the number of neighbouring particles is low as boundary and discontinuities. Also, the simulation realism is compromised when the incompressibility constraint is enforced and the fluid heating is not dissipated. To overcome these limitations, we present a new technique to simulate the fluid flow. It involves of a hybrid technique that allow us to calculate a stable pressure gradient and the mass density even when the number of neighbouring particle is low. Also, we directly control the incompressibility and dissipate the fluid heating with accurate. Thus, we obtain stable and realistic fluid simulation, even with higher time steps.