Correction

This article refers to:

Transitions and oscillations in a thermohaline deep ocean circulation model

Article title: Transitions and oscillations in a thermohaline deep ocean circulation model

Authors: Whitehead, J. A.

Journal: Geophysical and Astrophysical Fluid Dynamics

Bibliometrics: Volume 112, Number 5, pages 321–344

DOI: http://dx.doi.org/10.1080/03091929.2018.1530351

Values should be L/D=8 rather than L/D=2 in the captions for Figures 3 and 4 and “L/D=8” should be added to the caption for Figure 5. Furthermore, the corresponding changes must be made in the table for rows starting with 3a, 3e; 3b, 3f; 3c, 3g; 3d, 3h; and 4.

Corrected Captions:

Figure 3. Value of streamfunction for convection at Ra = 10⁵, L/D = 8. This is not a time sequence like figure 2. Each point represents the maximum or minimum for a long run over numerous cycles. The regions with time-dependent flow are shaded. Results are for Boussinesq equations on the left and for seawater polynomial coefficients on the right with (a,e) Pr = 1 (b, f) Pr = 2 (c, g) Pr = 3, (d, h) Pr = 4.

Figure 4. A run showing oscillations in streamfunction strength at different values of Pr at Ra = 10⁵, Raf = 3×10⁵, L/D = 8. At the times t = 2, 2.4, 2.8, 3.2 and 4.0, Pr takes the values 16, 22, 32, 64, and 128. Then, at t = 4.4, Raf is changed to 2.5×10⁵ and after about one time unit a spontaneous growing oscillation becomes large enough to see.

Figure 5. Vertical sections with contours of |ψ| (black, solid), T (red, heavy) and S (black, dashed) during an oscillation with seawater properties. Ra = 10⁵, Raf = 3.5×10⁵, Pr = 10, L/D=8 (colour online).

Corrected Table 1 is:

Table 1. Numerical results. Type indicates the equation of state; B is for Boussinesq and S for Saltwater.

Location	Ra	Raf	L/D	Pr	Type
Sec. 3	2x10^6	10^5 to 2x10^6	8,32	1, ∞	B, S
Sec. 5	2x10^6	0	2	1	B
2a	10^4	Up to 1.5x10^5	2	1	B
2b	3x10^4	Up to 3x10^5	2	1	B
2c	3x10^5	Up to 3x10^6	2	1	B
3a, 3e	10^5	Up to 8x10^5	8	1	B, S
3b, 3f	10^5	Up to 8x10^5	8	2	B, S
3c, 3g	10^5	Up to 8x10^5	8	3	B, S
3d, 3h	10^5	Up to 8x10^5	8	4	B, S
4	10^5	3x10^5, 2.5x10^5	8	16 to 128	S
5	10^5	3.5x10^5	8	10	S
6	10^5	2.5x10^5	8	1	S
7a	10^4	Up to 4x10^4	2	∞	B
7b	3x10^4	Up to 6.3x10^5	2	∞	B
7c	10^5	Up to 1.8x10^6	2	∞	B
8	3x10^4	6x10^5 to 59100	2	∞	B
9	0	0	16	∞	B
10	1000	10	16	1,∞	B
11	1000	50	16	∞	B
12a	3x10^4	Up to 8x10^4	8	∞	B
12b	5x10^5	Up to 3x10^6	8	∞	B
13	3x10^4	9200 to 11600	8	∞	B
14	3x10^4	36100 to 36200	8	∞	B
15a	5x10^5	0	8	∞	B
15b	5x10^5	5x10^5	8	∞	B
15c	0	5x10^5	8	∞	B

This has been corrected in the online version.