Table 1 Coefficients in equation (3.3)
Ψ | \(F_{ij}^{n}\) | \(R_{ij}^{n}\) | \(Q_{ij}^{n}\) |
|---|---|---|---|
θ | \(\theta _{ij}^{n} + \frac{\Delta t}{2} ( m_{\psi ,ij}^{n} l_{\theta ,ij}^{n} + L_{\theta ,ij}^{n} )\) | \(- \frac{\Delta t}{2} l_{\psi ,ij}^{n}\) | \(\frac{\Delta t}{2}\) |
ψ | \(\psi _{ij}^{n} + \frac{\Delta t}{2} ( L_{\psi ,ij}^{n} +\operatorname{\mathit{Ra}} m_{\theta ,ij}^{n} )\) | 0 | \(\frac{\Delta t}{2}\) |