Free-surface tracking in 2D with the harmonic polynomial cell method: Two alternative strategies

On the harmonic index and harmonic polynomial of Caterpillars with diameter four

The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u) denotes the degree of a vertex u in V(G). In this paper we define the harmonic polynomial of G. We present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in Caterpill...

A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics

We propose a new efficient and accurate numerical method based on harmonic polynomials to solve boundary value problems governed by 3D Laplace equation. The computational domain is discretized by overlapping cells. Within each cell, the velocity potential is represented by the linear superposition of a complete set of harmonic polynomials, which are the elementary solutions of Laplace equation....

Modified Mps Method for the 2d Fluid Structure Interaction Problem with Free Surface

The 2d Trochanter Tracking Method: a Low Cost Alternative When Assessingvertical Power-force-velocity Profiles?

Power force velocity profiles of ballistic push offs are increasingly more used for the purpose of performance assessment. The main input parameter for such profiles is jump height. This study aims to propose and validate a simple low cost method for calculating jump heights based on 2D tracking of the trochanter. Furthermore a comparison with the existing low cost time in air method was carrie...

A New Approach to Model-Free Tracking with 2D Lidar

This paper presents a unified and model-free framework for the detection and tracking of dynamic objects with 2D laser range finders in an autonomous driving scenario. A novel state formulation is proposed that captures joint estimates of the sensor pose, a local static background and dynamic states of moving objects. In addition, we contribute a new hierarchical data association algorithm to a...