POD-DEIM Based Model Order Reduction for the Spherical Shallow Water Equations with Turkel-Zwas Finite Difference Discretization

Table 2

CPU time gains and the root mean square errors for each of the model variables at 𝑡=24 h. The POD bases dimensions were 28 capturing more than 99.9% of the system energy. 60 DEIM points were chosen.

	TZ FD solutions	POD solutions	DEIM solutions
CPU time (s)	49.283	17.252	0.127
RMSE𝑢	—	2.166𝑒−004	3.210−004
RMSE𝑣	—	3.449𝑒−004	4.143𝑒−004
RMSEℎ	—	1.663𝑒−003	3.079𝑒−003