Using matrices in post-processing phase of CFD simulations

TL;DR

This paper introduces a fast, efficient method for interpolating and rendering particle trajectories in CFD simulations using matrix-based cubic polynomial evaluation, optimized for parallel computing environments.

Contribution

It presents a novel technique for constructing and evaluating cubic polynomial families for smooth particle trajectory visualization in CFD, optimized for multiprocessor clusters.

Findings

Efficient interpolation of 3D points with cubic curves.

Reduced computational load through caching and parallel processing.

Validated method for industrial burner modeling applications.

Abstract

In this work I present a technique of construction and fast evaluation of a family of cubic polynomials for analytic smoothing and graphical rendering of particles trajectories for flows in a generic geometry. The principal result of the work was implementation and test of a method for interpolating 3D points by regular parametric curves and their fast and efficient evaluation for a good resolution of rendering. For the purpose I have used a parallel environment using a multiprocessor cluster architecture. The efficiency of the used method is good, mainly reducing the number of floating-points computations by caching the numerical values of some line-parameter's powers, and reducing the necessity of communication among processes. This work has been developed for the Research and Development Department of my company for planning advanced customized models of industrial burners.