Table 2 Sudden and gradual temporal transitions from L-RK to SL-RK approximations in time and space; the \(y\)-coordinate is measured from the bottom of the soil layer
Depths | Sudden transition | Gradual transition | |||
|---|---|---|---|---|---|
\(0 \le t < 0.05\) | \(t \ge 0.05\) | \(0 \le t < 0.025\) | \(0.025 \le t < 0.05\) | \(t \ge 0.05\) | |
\(8.5\,{\text{m}} < y \le 10\,{\text{m}}\) | Lagrangian | semi-Lagrangian | Lagrangian | Transition in time | semi-Lagrangian |
\(7.5\,{\text{m}} < y \le 8.5\,{\text{m}}\) | Lagrangian | Transition in space | Lagrangian | Transition in space and time | Transition in space |
\(0\,{\text{m}} < y \le 7.5\,{\text{m}}\) | Lagrangian | Lagrangian | Lagrangian | Lagrangian | Lagrangian |