Analysis Enhanced Particle-based Flow Visualization

Abstract

Particle-based fluid simulation (PFS), such as Smoothed Particle Hydrodynamics (SPH) and Position-based Fluid (PBF), is a mesh-free method that has been widely used in various fields, including astrophysics, mechanical engineering, and biomedical engineering for the study of liquid behaviors under different circumstances. Due to its meshless nature, most analysis techniques that are developed for mesh-based data need to be adapted for the analysis of PFS data. In this work, we study a number of flow analysis techniques and their extension for PFS data analysis, including the FTLE approach, Jacobian analysis, and an attribute accumlation framework. In particular, we apply these analysis techniques to free surface fluids. We demonstrate that these analyses can reveal some interesting underlying flow patterns that would be hard to see otherwise via a number of PFS simulated flows with different parameters and boundary settings. In addition, we point out that an in-situ analysis framework that performs these analyses can potentially be used to guide the adaptive PFS to allocate the computation and storage power to the regions of interest during the simulation.

Visualizing Time-Varying Particle Flows with Diffusion Geometry

“…Kuhn et al construct a triangulation on particle data, and as a discrete representation of time lines they track the evolution of edges over time, wherein high FTLE values are those edges which tend to collapse in the evolution [35]. Shi et al compute the Jacobian of the flow map directly on particles by linearizing the Jacobian, and subsequently solve for it in a local neighborhood of particles in a least squares sense [36]. Our covariance-based measure for particles is related to these approaches, and generalizes them to the analysis of separation at multiple scales through diffusion geometry.…”

A fast framework construction and visualization method for particle-based fluid

“…In recent years, the visualization techniques of fluid are presented to reconstruct surfaces in many literatures. The main difficulty in surface reconstruction is not only to create smooth surface, but also to protect fine details, for example splashes, sheets, and droplets [25]. The traditional methods for visualization of fluid are polygon-based, voxel-based, and point sprite algorithm [3,26].…”