Validation and verification studies

• HPFRT filtering
  • Implementation in Nek5000
  • The transfer function
• Effects of filtering parameters
• Notes on the implementation in PALM
• Stratification corrections and Newton Raphson method to calculate Monin Obukhov length $z/L$
  • Symbols
• Momentum
  • Computing $\phi_m(\xi)$
    • Substitute $\sqrt[4]{1 - 16 z/L} \to \xi_4$
    • Compare with Basu (2018)
  • Computing $\Psi_M(z_0, z_1, L)$
• Heat
  • Substitute $\sqrt{1 - 16 z/L} \to \xi_2$
  • Computing $\Psi_H(z_0, z_1, L)$
• Richardson number
  • Stable
  • Unstable
    • Substitute $\sqrt{1 - 16 z_{0,1}/L} \to h_0, h_1$
• Newton Raphson
  • Note: huge code generated
• Comparison
• The indicator function