(2 intermediate revisions by one other user not shown)
Line 6: Line 6:
 
== Abstract ==
 
== Abstract ==
 
<pdf>Media:Draft_Sanchez Pinedo_8781617871770_abstract.pdf</pdf>
 
<pdf>Media:Draft_Sanchez Pinedo_8781617871770_abstract.pdf</pdf>
 +
 +
== Full Paper ==
 +
<pdf>Media:Draft_Sanchez Pinedo_8781617871770_paper.pdf</pdf>

Latest revision as of 16:06, 25 November 2022

Summary

Discrete versions of Poisson's equation with large contrasts in the coefficients result in very ill-conditioned systems. Thus, its iterative solution represents a major challenge, for instance, in porous media and multiphase flow simulations, where considerable permeability and density ratios are usually found. The existing strategies trying to remedy this are highly dependent on whether the coefficient matrix remains constant at each time iteration or not. In this regard, incompressible multiphase flows with high-density ratios are particularly demanding as their resulting Poisson equation varies along with the density field, making the reconstruction of complex preconditioners impractical. This work presents a strategy for solving such versions of the variable Poisson equation.Roughly, we first make it constant through an adequate approximation. Then, we block-diagonalise it through an inexpensive change of basis that takes advantage of mesh reflection symmetries, which are common in multiphase flows. Finally, we solve the resulting set of fully decoupled subsystems with virtually any solver. The numerical experiments conducted on a multiphase flow simulation prove the benefits of such an approach, resulting in up to 6.6x faster convergences.

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 Science Computing, 2022
DOI: 10.23967/eccomas.2022.107
Licence: CC BY-NC-SA license

Document Score

0

Views 6
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?