In this work the finite volume method was used with an improved scheme of discretization called Flux-Spline, for the numerical study of non-linear problems in uni-dimensional water flow in hydraulically homogeneous unsaturated soil. Test-problems were presented and resolved to some values and combinations of the two governing non-dimensional parameters to demonstrate the advantages of the new scheme when compared to the traditional central difference scheme. The results obtained showed a better performance of the new scheme when compared to the central difference scheme in all simulated cases, demonstrating that the scheme can be recommended for numerical simulation of water movement in hydraulically homogeneous unsatured soil.
diffusion; finite volumes; water movement in soil
