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Multiple scale homogenisation of nutrient movement and crop growth in partially saturated soil

Multiple scale homogenisation of nutrient movement and crop growth in partially saturated soil
Multiple scale homogenisation of nutrient movement and crop growth in partially saturated soil
Abstract In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth of each tuber is dependent on the uptake of nutrients via a sink term within the soil representing root nutrient uptake. Special attention is paid to the reduction in void space, resulting change in local water content and the impact on nutrient diffusion within the soil as the tubers increase in size. To validate the multiple scale homogenisation procedure, we compare the system of homogenised equations to the original set of equations and find that the solutions between the two models differ by . 2%. However, we find that the computation time between the two sets of equations differs by several orders of magnitude. This is due to the combined effects of the complex
0092-8240
Duncan, Simon J.
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Daly, Keith R.
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McKay Fletcher, Daniel, Marcus
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Ruiz, Siul Aljadi
d79b3b82-7c0d-47cc-9616-11d29e6a41bd
Sweeney, Paul
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Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe
Duncan, Simon J.
5f6ded7d-ae87-4c14-80c9-6f64e306859a
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
McKay Fletcher, Daniel, Marcus
60e9adeb-182b-4dfd-846a-b684f8e2358e
Ruiz, Siul Aljadi
d79b3b82-7c0d-47cc-9616-11d29e6a41bd
Sweeney, Paul
b7d778d9-0fcd-49aa-a0d9-a0ffc39b9418
Roose, Tiina
3581ab5b-71e1-4897-8d88-59f13f3bccfe

Duncan, Simon J., Daly, Keith R., McKay Fletcher, Daniel, Marcus, Ruiz, Siul Aljadi, Sweeney, Paul and Roose, Tiina (2019) Multiple scale homogenisation of nutrient movement and crop growth in partially saturated soil. Bulletin of Mathematical Biology. (doi:10.1007/s11538-019-00656-3).

Record type: Article

Abstract

Abstract In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth of each tuber is dependent on the uptake of nutrients via a sink term within the soil representing root nutrient uptake. Special attention is paid to the reduction in void space, resulting change in local water content and the impact on nutrient diffusion within the soil as the tubers increase in size. To validate the multiple scale homogenisation procedure, we compare the system of homogenised equations to the original set of equations and find that the solutions between the two models differ by . 2%. However, we find that the computation time between the two sets of equations differs by several orders of magnitude. This is due to the combined effects of the complex

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Accepted/In Press date: 7 August 2019
e-pub ahead of print date: 22 August 2019

Identifiers

Local EPrints ID: 433288
URI: http://eprints.soton.ac.uk/id/eprint/433288
ISSN: 0092-8240
PURE UUID: 31edb4cf-8b76-4f02-acfd-61e38a496edd
ORCID for Tiina Roose: ORCID iD orcid.org/0000-0001-8710-1063

Catalogue record

Date deposited: 13 Aug 2019 16:30
Last modified: 22 Nov 2021 07:35

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Contributors

Author: Simon J. Duncan
Author: Keith R. Daly
Author: Paul Sweeney
Author: Tiina Roose ORCID iD

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