Trajectory errors of different numerical integration schemes diagnosed with the MPTRAC advection module driven by ECMWF operational analyses

Rößler, Thomas; Stein, Olaf; Heng, Yi; Baumeister, Paul; Hoffmann, Lars

doi:https://doi.org/10.5194/gmd-11-575-2018

Articles | Volume 11, issue 2

https://doi.org/10.5194/gmd-11-575-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/gmd-11-575-2018

© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 11, issue 2

Development and technical paper

|

08 Feb 2018

Development and technical paper |

| 08 Feb 2018

Trajectory errors of different numerical integration schemes diagnosed with the MPTRAC advection module driven by ECMWF operational analyses

Thomas Rößler, Olaf Stein, Yi Heng, Paul Baumeister, and Lars Hoffmann

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Mar 2017	91	29	5	125
Apr 2017	49	26	3	78
May 2017	47	22	7	76
Jun 2017	38	19	4	61
Jul 2017	17	10	1	28
Aug 2017	15	19	0	34
Sep 2017	17	17	0	34
Oct 2017	14	8	0	22
Nov 2017	12	10	0	22
Dec 2017	15	15	1	31
Jan 2018	32	18	3	53
Feb 2018	189	63	7	259
Mar 2018	37	31	5	73
Apr 2018	15	22	0	37
May 2018	11	16	1	28
Jun 2018	17	15	0	32
Jul 2018	17	16	2	35
Aug 2018	13	18	0	31
Sep 2018	10	16	2	28
Oct 2018	12	14	0	26
Nov 2018	27	19	0	46
Dec 2018	16	20	2	38
Jan 2019	17	21	1	39
Feb 2019	10	10	0	20
Mar 2019	11	21	1	33
Apr 2019	15	15	2	32
May 2019	24	22	0	46
Jun 2019	30	19	1	50
Jul 2019	14	29	0	43
Aug 2019	17	25	0	42
Sep 2019	10	15	1	26
Oct 2019	29	18	0	47
Nov 2019	16	20	0	36
Dec 2019	21	17	1	39
Jan 2020	23	13	1	37
Feb 2020	15	15	0	30
Mar 2020	19	18	0	37
Apr 2020	15	10	2	27
May 2020	20	9	0	29
Jun 2020	20	21	1	42
Jul 2020	47	71	29	147
Aug 2020	14	8	1	23
Sep 2020	23	12	0	35
Oct 2020	12	22	3	37
Nov 2020	15	19	0	34
Dec 2020	18	21	0	39
Jan 2021	34	30	1	65
Feb 2021	10	13	0	23
Mar 2021	17	23	0	40
Apr 2021	14	14	1	29
May 2021	15	15	0	30
Jun 2021	11	11	0	22
Jul 2021	17	24	2	43
Aug 2021	13	19	0	32
Sep 2021	19	15	1	35
Oct 2021	9	46	2	57
Nov 2021	21	39	0	60
Dec 2021	17	10	0	27
Jan 2022	13	12	1	26
Feb 2022	17	4	2	23
Mar 2022	56	5	0	61
Apr 2022	84	7	2	93
May 2022	78	6	0	84
Jun 2022	44	2	1	47
Jul 2022	62	3	0	65
Aug 2022	87	21	0	108
Sep 2022	62	5	0	67
Oct 2022	48	8	1	57
Nov 2022	72	17	0	89
Dec 2022	67	13	1	81
Jan 2023	55	13	0	68
Feb 2023	70	26	2	98
Mar 2023	74	44	0	118
Apr 2023	52	15	3	70
May 2023	29	8	0	37
Jun 2023	10	1	1	12

Cumulative views and downloads (calculated since 09 Feb 2017)

Month	HTML	PDF	XML	Total
Feb 2017	74	19	9	102
Mar 2017	91	29	5	125
Apr 2017	49	26	3	78
May 2017	47	22	7	76
Jun 2017	38	19	4	61
Jul 2017	17	10	1	28
Aug 2017	15	19	0	34
Sep 2017	17	17	0	34
Oct 2017	14	8	0	22
Nov 2017	12	10	0	22
Dec 2017	15	15	1	31
Jan 2018	32	18	3	53
Feb 2018	189	63	7	259
Mar 2018	37	31	5	73
Apr 2018	15	22	0	37
May 2018	11	16	1	28
Jun 2018	17	15	0	32
Jul 2018	17	16	2	35
Aug 2018	13	18	0	31
Sep 2018	10	16	2	28
Oct 2018	12	14	0	26
Nov 2018	27	19	0	46
Dec 2018	16	20	2	38
Jan 2019	17	21	1	39
Feb 2019	10	10	0	20
Mar 2019	11	21	1	33
Apr 2019	15	15	2	32
May 2019	24	22	0	46
Jun 2019	30	19	1	50
Jul 2019	14	29	0	43
Aug 2019	17	25	0	42
Sep 2019	10	15	1	26
Oct 2019	29	18	0	47
Nov 2019	16	20	0	36
Dec 2019	21	17	1	39
Jan 2020	23	13	1	37
Feb 2020	15	15	0	30
Mar 2020	19	18	0	37
Apr 2020	15	10	2	27
May 2020	20	9	0	29
Jun 2020	20	21	1	42
Jul 2020	47	71	29	147
Aug 2020	14	8	1	23
Sep 2020	23	12	0	35
Oct 2020	12	22	3	37
Nov 2020	15	19	0	34
Dec 2020	18	21	0	39
Jan 2021	34	30	1	65
Feb 2021	10	13	0	23
Mar 2021	17	23	0	40
Apr 2021	14	14	1	29
May 2021	15	15	0	30
Jun 2021	11	11	0	22
Jul 2021	17	24	2	43
Aug 2021	13	19	0	32
Sep 2021	19	15	1	35
Oct 2021	9	46	2	57
Nov 2021	21	39	0	60
Dec 2021	17	10	0	27
Jan 2022	13	12	1	26
Feb 2022	17	4	2	23
Mar 2022	56	5	0	61
Apr 2022	84	7	2	93
May 2022	78	6	0	84
Jun 2022	44	2	1	47
Jul 2022	62	3	0	65
Aug 2022	87	21	0	108
Sep 2022	62	5	0	67
Oct 2022	48	8	1	57
Nov 2022	72	17	0	89
Dec 2022	67	13	1	81
Jan 2023	55	13	0	68
Feb 2023	70	26	2	98
Mar 2023	74	44	0	118
Apr 2023	52	15	3	70
May 2023	29	8	0	37
Jun 2023	10	1	1	12

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Short summary

In this study, we performed an assessment of truncation errors and computational efficiency of trajectory calculations using six popular numerical integration schemes of the Runge–Kutta family. More than 5000 transport simulations for different seasons and regions of the free troposphere and stratosphere were conducted, driven by the latest version of ECMWF operational analyses and forecasts. The study provides guidelines to achieve the most accurate and efficient trajectory calculations.

Trajectory errors of different numerical integration schemes diagnosed with the MPTRAC advection module driven by ECMWF operational analyses

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7 citations as recorded by crossref.

6 citations as recorded by crossref.

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