### Abstract

The problem of nonsteady flow of water in a soil-plant system can be described by adding a sink term to the continuity equation for soil water flow. The sink term is defined in two different ways. Firstly, it is considered to be dependent on the hydraulic conductivity of the soil, on the difference in pressure head between the soil and the root-soil interface and some root effectiveness function. Secondly, the sink is taken to be a prescribed function of the soil water content. The partial differential equation applying to the first problem is solved by both a finite difference and a finite element technique, that applying to the second problem by a finite difference approach. The purpose of this paper is to verify the numerical methods against field measurements, to compare the results obtained by the three numerical methods and to show how the finite element method can be applied to complex but realistic two-dimensional flow situations. Two examples are given.

Original language | English (US) |
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Title of host publication | Hydrol Sci BULL Sci Hydrol |

Pages | 81-98 |

Number of pages | 18 |

Volume | 21 |

Edition | 1 |

State | Published - Mar 1975 |

Externally published | Yes |

Event | Symp and Workshops on the Appl of Math Model in Hydrol and Water Resour Syst - Bratislava, Czech Duration: Sep 8 1975 → Sep 13 1975 |

### Other

Other | Symp and Workshops on the Appl of Math Model in Hydrol and Water Resour Syst |
---|---|

City | Bratislava, Czech |

Period | 9/8/75 → 9/13/75 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Hydrol Sci BULL Sci Hydrol*(1 ed., Vol. 21, pp. 81-98)

**FINITE DIFFERENCE AND FINITE ELEMENT SIMULATION OF FIELD WATER UPTAKE BY PLANTS.** / Feddes, Reinder A.; Kowalik, Piotr; Neuman, Shlomo P; Bresler, Eshel.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Hydrol Sci BULL Sci Hydrol.*1 edn, vol. 21, pp. 81-98, Symp and Workshops on the Appl of Math Model in Hydrol and Water Resour Syst, Bratislava, Czech, 9/8/75.

}

TY - CHAP

T1 - FINITE DIFFERENCE AND FINITE ELEMENT SIMULATION OF FIELD WATER UPTAKE BY PLANTS.

AU - Feddes, Reinder A.

AU - Kowalik, Piotr

AU - Neuman, Shlomo P

AU - Bresler, Eshel

PY - 1975/3

Y1 - 1975/3

N2 - The problem of nonsteady flow of water in a soil-plant system can be described by adding a sink term to the continuity equation for soil water flow. The sink term is defined in two different ways. Firstly, it is considered to be dependent on the hydraulic conductivity of the soil, on the difference in pressure head between the soil and the root-soil interface and some root effectiveness function. Secondly, the sink is taken to be a prescribed function of the soil water content. The partial differential equation applying to the first problem is solved by both a finite difference and a finite element technique, that applying to the second problem by a finite difference approach. The purpose of this paper is to verify the numerical methods against field measurements, to compare the results obtained by the three numerical methods and to show how the finite element method can be applied to complex but realistic two-dimensional flow situations. Two examples are given.

AB - The problem of nonsteady flow of water in a soil-plant system can be described by adding a sink term to the continuity equation for soil water flow. The sink term is defined in two different ways. Firstly, it is considered to be dependent on the hydraulic conductivity of the soil, on the difference in pressure head between the soil and the root-soil interface and some root effectiveness function. Secondly, the sink is taken to be a prescribed function of the soil water content. The partial differential equation applying to the first problem is solved by both a finite difference and a finite element technique, that applying to the second problem by a finite difference approach. The purpose of this paper is to verify the numerical methods against field measurements, to compare the results obtained by the three numerical methods and to show how the finite element method can be applied to complex but realistic two-dimensional flow situations. Two examples are given.

UR - http://www.scopus.com/inward/record.url?scp=0016474809&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016474809&partnerID=8YFLogxK

M3 - Chapter

VL - 21

SP - 81

EP - 98

BT - Hydrol Sci BULL Sci Hydrol

ER -