Analysis Infiltration Waters in Various Forms of Irrigation Channels by Using Dual Reciprocity Boundary Element Method
This research discusses the inﬁltration of furrow irrigation invarious forms of irrigation channels in homogeneous soils. The governing equation of the problems is a Richard’s Equation. This equation is transformed using a set of transformation including Kirchhoff and dimensionless variables into Helmholtz modiﬁed equations. Furthermore with Dual Reciprocity Boundary Element Method (DRBEM), numerical solution of modiﬁed Helmholtz equation obtained. The proposed method is tested on problem involved inﬁltration from periodic ﬂat channels, non-ﬂat channels without impermeable and non-ﬂat channels with impermeable. The greatest value of suction potential and water content is located below the channel surface. The most water consecutively is a non-flat channel without impermeable, non-flat channel with impermeable and flat channel on Lakish Clay soils.
UN World Water Assessment Programme, The United Nations World Water Development Report 2015. UNESCO, 2015.
M. G. Bos, R.A.L. Kselik, R. Allen, and D. Molden, “Water Requirements for Irrigation and the Environment”, 2009, doi: 10.1007/978-1-4020-8948-0.
M. Manaqib, I. Fauziah, and M. Mujiyanti, "Mathematical Model for MERS-COV Disease Transmission with Medical Mask Usage and Vaccination", Inprime: Indonesian Journal of Pure and Applied Mathematics, vol. 1, no. 2, pp. 97-109, 2019. doi: 10.15408/inprime.v1i2.13553
I. Solekhudin and K.C. Ang, "A dual-reciprocity boundary element method for steady infiltration problems", ANZIAM Journal, vol. 54, pp. 171-180, 2013. doi: 10.21914/anziamj.v54i0.5699
C. Pozrikidis, A Practical Guide to Boundary Element Method with The Software Library BEMLIB. Florida: Chapman and Hall/CRR, 2002.
J. T. Katsikadelis, Boundary Element: Theory and Application. Oxford: Elsevier, 2002.
M. I. Azis, D. L. Clements, and M. Lobo, "A Boundary Elements Method for Steady Infiltration from Periodic Channels", ANZIAM Journal, vol. 44, pp. C61-C78, 2003. doi: https://doi.org/10.21914/anziamj.v44i0.672.
M. Manaqib and I. Solekhudin, "Dual Reciprocity Boundary Element Method untuk Menyelesaikan Masalah Infiltrasi Air pada Saluran Irigasi Alur," in Seminar Matematika dan Pendidikan Matematika UNY, Yogyakarta, 2017.
E. Bresler, "Analysis of Trickle Irrigation with Application to Design Problems", Irrigation Science, vol. 1, pp. 3-17, 1978.
A. W. Warrick, Soil Physics Companion. Washington D.C.: CRC Press, 2002.
M. Manaqib., “Pemodelan Matematika Infiltrasi Air pada Saluran Irigasi Alur”, J. Mat. Mantik, vol. 3, no. 1, pp. 23-29, Oct. 2017.
V. Batu, “Steady Infiltration from Single and Periodic Strip Sources”, Soil Science Society of America Journal, Vol. 42, pp. 544-549, 1978. doi:10.2136/sssaj1978.03615995004200040002x
M. Lobo, D. L. Clements, and N. Widana, "Infiltration from Irrigation Channels in a Soil with Impermeable Inclusions," ANZIAM Journal, vol. 46, pp. C1055-C1068, 2005.
D. L. Clements, M. Lobo, and N. Widana, "A Hypersingular Boundary Integral Equation for a Class of a Problems Concerning Infiltration from Periodic Channels", Electronic Journal of Boundary Element, vol. 5, no. 1, pp. 1-16, 2007. doi: https://doi.org/10.14713/ejbe.v5i1.779.
I. Solekhudin and K.C. Ang, "Suction Potential and Water Absorption from Periodic Channels in Different Types of Homogeneous Soils," Electronic Jurnal of Boundary Element, vol. 10, no. 2, pp. 42-55, 2012.
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