Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models

Table 1

Error statistics for SEa 1–7 and SEb 1–7.

Exp.	𝐾^a1	𝐾^a2	𝐾^a3		𝐾^a4 (m)
			Before	After	Before	After
Inversion strategy 1
SEa 1	2	0.00	4979.7808	0.0000	0.3500	0.0000
SEa 2	6	0.00	4229.2929	0.0000	0.3332	0.0000
SEa 3	10	0.00	4549.4140	0.1565	0.3055	0.0059
SEa 4	14	0.00	3966.8884	0.1393	0.3121	0.0091
SEa 5	18	0.00	3546.1967	1.0772	0.3014	0.0334
SEa 6	22	0.00	3319.5297	0.7163	0.3066	0.0451
SEa 7	26	0.00	3776.7236	1.2877	0.3124	0.0737
Inversion strategy 2
SEb 1	2	0.00	4979.7808	0.0057	0.3500	0.0101
SEb 2	6	0.00	4229.2929	0.0054	0.3332	0.0125
SEb 3	10	0.00	4549.4140	0.0132	0.3055	0.0152
SEb 4	14	0.00	3966.8884	0.0111	0.3121	0.0194
SEb 5	18	0.00	3546.1967	0.0225	0.3014	0.0472
SEb 6	22	0.00	3319.5297	0.4051	0.3066	0.0662
SEb 7	26	0.00	3776.7236	1.0224	0.3124	0.0783

^a𝐾₁ is the number of feature points for PDs 1–7 prescribed in semi-idealized experiments. 𝐾₂ is the value of maximum percentage error. 𝐾₃ is the data misfit before and after assimilation. 𝐾₄ is the mean absolute difference between prescribed and inverted Fourier coefficients.