Table 2 Coefficients in equation (3.4)
Ψ | \(F_{ij}^{n+1/2}\) | \(R_{ij}^{n+1/2}\) | \(Q_{ij}^{n+1/2}\) |
|---|---|---|---|
θ | \(\theta _{ij}^{n+1/2} + \frac{\Delta t}{2} ( - l_{\psi ,ij}^{n+1/2} m_{\theta ,ij}^{n} + M_{\theta ,ij}^{n} )\) | \(\frac{\Delta t}{2} m_{\psi ,ij}^{n+1/2}\) | \(\frac{\Delta t}{2}\) |
ψ | \(\psi _{ij}^{n+1/2} + \frac{\Delta t}{2} ( M_{\psi ,ij}^{n+1/2} +\operatorname{\mathit{Ra}} m_{\theta ,ij}^{n} )\) | 0 | \(\frac{\Delta t}{2}\) |