A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration

Authors

  • Ramesh Chandra Timsina Department of Mathematics, Patan Multiple Campus, Tribhuvan University, Kathmandu, Nepal
  • Harihar Khanal Department of Mathematics, Embry-Riddle Aeronautical University, Florida. U.S.A.
  • Andrei Ludu Department of Mathematics, Embry-Riddle Aeronautical University, Florida. U.S.A.
  • Kedar Nath Uprety Central Department of Mathematics, Tribhuvan University, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/nmsr.v38i2.42708

Keywords:

Finite Difference methods, Richards Equation, Kirchhoff Transformation, Infiltration Evapotranspiration

Abstract

Flow movement in unsaturated soil can be expressed by Richards equation. This equation can be obtained by applying the mass conversation law and the Darcy law. In this work, we solve one-dimensional Kirchhoff transformed Richards equation with loss of water due to the evaporation of unsaturated porous media (soils) and transpiration of plants numerically using Crank-Nicolson method. The result has compared with evapotranspiration function and without it in the governing equation. It has found that an additional work in time and flow movement is needs to reach the given boundary condition for the model without evapotranspiration.

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Published

2021-12-31

How to Cite

Timsina, R. C., Khanal, H., Ludu, A., & Uprety, K. N. (2021). A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration. The Nepali Mathematical Sciences Report, 38(2), 35–45. https://doi.org/10.3126/nmsr.v38i2.42708

Issue

Vol. 38 No. 2 (2021)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report