A Hybrid Regularization for the Navier–Stokes Equations
ABSTRACT In 1991 Ramshaw and Mesina proposed a novel synthesis of penalty methods and artificial compression methods. When the two were balanced they found the combination was 3–4 orders more accurate than either alone. This report begins developing a mathematical foundation addressing the reliability of their interesting method. We perform stability analysis, semi‐discrete error analysis, and tests of the algorithm.
Authors
- Aytekin Çıbık (ORCID: https://orcid.org/0000-0003-3571-4137)
- William Layton (ORCID: https://orcid.org/0000-0002-2539-4478)
- Farjana Siddiqua
Institutions
- Georgia Institute of Technology (US)
- University of Pittsburgh (US)
- Gazi University (TR)
Publication Details
- Journal
- Numerical Methods for Partial Differential Equations
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1002/num.70002
- Citations
- 1
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 1.33
Funders
- National Science Foundation
- Türkiye Bilimsel ve Teknolojik Araştırma Kurumu