m (Move page script moved page Santos Serrano et al 1970a to Santos Serrano et al 2022a)
 
(No difference)

Latest revision as of 16:06, 25 November 2022

Summary

Preservation of energy is fundamental in order to avoid the introduction of unphysical energy that can lead to unstable simulations. In this work, an energy-preserving unconditionally stable fractional step method on collocated grids is presented as a method which guarantees both preservation of energy and stability of our simulation. Using an algebraic (matrix-vector) representation of the classical incompressible Navier-Stokes equations mimicking the continuous properties of the differential operators, conservation of energy is formally proven. Furthermore, the appearence of unphysical velocities in highly distorted meshes is also adressed. This problem comes from the interpolation of the pressure gradient from faces to cells in the velocity correction equation, and can be corrected by using a proper interpolation.

Abstract

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document

Full Paper

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top
GET PDF

Document information

Published on 24/11/22
Accepted on 24/11/22
Submitted on 24/11/22

Volume Computational Fluid Dynamics, 2022
DOI: 10.23967/eccomas.2022.045
Licence: CC BY-NC-SA license

Document Score

0

Views 3
Recommendations 0

Share this document

Keywords

claim authorship

Are you one of the authors of this document?