Constructing PDFs of spatially dependent fields using finite elements
Fluid Dynamics
2025-01-10 v1 Numerical Analysis
Numerical Analysis
Abstract
A probability density function (PDF) of a spatially dependent field provides a means of calculating moments of the field or, equivalently, the proportion of a spatial domain that is mapped to a given set of values. This paper describes a finite element approach to estimating the PDF of a spatially dependent field and its numerical implementation in the Python package NumDF.
Cite
@article{arxiv.2501.05115,
title = {Constructing PDFs of spatially dependent fields using finite elements},
author = {Paul M. Mannix and David A. Ham and John Craske},
journal= {arXiv preprint arXiv:2501.05115},
year = {2025}
}