Published January 1, 2025 | Version v1
Journal article Open

A Hybrid Regularization for the Navier-Stokes Equations

  • 1. Gazi Univ, Dept Math, Ankara, Turkiye
  • 2. Georgia Inst Technol, Sch Math, Atlanta, GA USA
  • 3. Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

Description

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.

Files

bib-8fe3056d-cb6d-452f-bbcd-f81ce16c8dd9.txt

Files (172 Bytes)

Name Size Download all
md5:cb5fa5836dd452bcef8bf3612bd2c6c5
172 Bytes Preview Download