Fig. 1.
Condensation after one time step for h = 4.0 in grid-point space where the state before the condensation step is the constant h field. (a) Condensation in a standard way and (b) condensation by Equation (3).
Fig. 2.
Advection without condensation. The solid line indicates h field at initial state, dotted lines indicate h field at 80, 160, 240, 320 steps and the dashed line shows h field at final state. The tick marks on the x-axis indicate a double cell interval.
Fig. 3.
Full-grid condensation without hyperviscosity: the condensation is applied every grid point. Dashed lines indicate the y-values 2 and 4. The tick marks on the x-axis indicate a double cell interval.
Fig. 4.
Condensation at every third grid point and use of spline method for the interior points. The solid line indicates h field at initial state, dotted lines indicate h field at 80, 160, 240, 320 steps and the dashed line shows h field at final state. The tick marks on the x-axis indicate a double cell interval.
Fig. 5.
Condensation at every third grid point with spatial centered difference. The solid line indicates h field at initial state, dotted lines indicate h field at 80, 160, 240, 320 steps and the dashed line shows h field at final state. The tick marks on the x-axis indicate a double cell interval.