From Particle Tracks to Velocity and Acceleration Fields Using B-Splines and Penalties

TL;DR

This paper presents a method for reconstructing velocity and acceleration fields from particle tracking data, leveraging flow properties like divergence-free and rotation-free conditions to enhance spatial resolution efficiently.

Contribution

It introduces a novel approach that incorporates known flow properties into the reconstruction process to improve accuracy and computational efficiency.

Findings

Effective reconstruction of velocity and acceleration fields from scattered data.

Utilization of flow properties to enhance spatial resolution.

Reduced computational time compared to traditional methods.

Abstract

In this work a method for reconstructing velocity and acceleration fields is described which uses scattered particle tracking data from flow experiments as input. The goal is to reconstruct these fields faithfully with a limited amount of compute time and exploit known flow properties such as a divergence-free velocity field for incompressible flows and a rotation-free acceleration in case it is known to be dominated by the pressure gradient in order to improve the spatial resolution of the reconstruction.