Modular Data Assimilation for Flow Prediction

Çıbık A., Fang R., Layton W.

Numerical Methods for Partial Differential Equations, cilt.42, sa.1, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1002/num.70066
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: data assimilation, Navier Stokes, nudging, predictability
  • Gazi Üniversitesi Adresli: Evet

Özet

Modular nudging algorithms (inspired by Kalman filters) are presented. (Formula presented.) There are 3 main results. 1. If (Formula presented.), analysis has implicit stability and explicit complexity: (Formula presented.) 2. For (Formula presented.) small and (Formula presented.) large, predictability horizons are infinite. 3. For any (Formula presented.) and (Formula presented.), errors decrease and predictability horizons increase. Numerics confirm the method's effectiveness.