Simple Eulerian–Lagrangian approach to solving equations  for sinking particulate organic matter in the ocean

Maderich, Vladimir; Brovchenko, Igor; Kovalets, Kateryna; Seo, Seongbong; Kim, Kyeong Ok

doi:10.5194/gmd-18-7373-2025

Articles | Volume 18, issue 20

https://doi.org/10.5194/gmd-18-7373-2025

© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/gmd-18-7373-2025

© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 18, issue 20

Development and technical paper

|

16 Oct 2025

Development and technical paper |

| 16 Oct 2025

Simple Eulerian–Lagrangian approach to solving equations for sinking particulate organic matter in the ocean

Vladimir Maderich, Igor Brovchenko, Kateryna Kovalets, Seongbong Seo, and Kyeong Ok Kim

Viewed

Total article views: 2,679 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	Supplement	BibTeX	EndNote
2,015	559	105	2,679	356	84	147

HTML: 2,015
PDF: 559
XML: 105
Total: 2,679
Supplement: 356
BibTeX: 84
EndNote: 147

Views and downloads (calculated since 21 Feb 2025)

Month	HTML	PDF	XML	Total
Feb 2025	27	6	1	34
Mar 2025	26	12	1	39
Apr 2025	47	9	5	61
May 2025	46	6	6	58
Jun 2025	28	7	9	44
Jul 2025	16	7	0	23
Aug 2025	95	7	3	105
Sep 2025	361	6	0	367
Oct 2025	166	51	16	233
Nov 2025	156	64	12	232
Dec 2025	96	106	14	216
Jan 2026	328	58	18	404
Feb 2026	414	43	8	465
Mar 2026	76	77	9	162
Apr 2026	133	100	2	235
May 2026	1	1

Cumulative views and downloads (calculated since 21 Feb 2025)

Month	HTML	PDF	XML	Total
Feb 2025	27	6	1	34
Mar 2025	26	12	1	39
Apr 2025	47	9	5	61
May 2025	46	6	6	58
Jun 2025	28	7	9	44
Jul 2025	16	7	0	23
Aug 2025	95	7	3	105
Sep 2025	361	6	0	367
Oct 2025	166	51	16	233
Nov 2025	156	64	12	232
Dec 2025	96	106	14	216
Jan 2026	328	58	18	404
Feb 2026	414	43	8	465
Mar 2026	76	77	9	162
Apr 2026	133	100	2	235
May 2026	1	1

Viewed (geographical distribution)

Total article views: 2,679 (including HTML, PDF, and XML) Thereof 2,651 with geography defined and 28 with unknown origin.

Country	#	Views	%

1

1

Cited

Saved (final revised paper)

Latest update: 02 May 2026

Short summary

We have developed a new, simple Eulerian–Lagrangian approach to solve equations for sinking particulate organic matter in the ocean. We rely on the known parameterizations, but our approach to solving the problem differs, allowing the algorithm to be incorporated into biogeochemical global ocean models with relative ease. New analytical and numerical solutions have confirmed that feedback between the degradation rate and sinking velocity significantly alters particulate matter fluxes.