A Hybrid Regularization for the Navier–Stokes Equations

Çıbık A., Siddiqua F., Layton W.

Numerical Methods for Partial Differential Equations, cilt.41, sa.2, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1002/num.70002
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: artificial compression, Navier–Stokes equations, penalty
  • Gazi Üniversitesi Adresli: Evet

Özet

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.