Abstract
In this article we propose a computational method coupled with the digital color image and discuss its application to the numerical simulation of the groundwater flow through industrial wastes. The solution method combines finite difference approximations based on fictitious domain method (also called domain embedding method) and pixels which are arranged in two dimensional grid in the color image.
The object is the groundwater flow through the industrial waste deposits which were dumped in Teshima Island. The mathematical model of the groundwater flow is formulated by Darcy’s law, the water permeability and transmission conditions on geologic boundary surfaces. The result of numerical simulations for two dimensional groundwater flow through industrial wastes is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fujita, H., Kawahara, H., Kawarada, H.: Distribution theoretic approach to fictitious domain method for Neumann problems. East-West J. Numer. Mathe. 3(2), 111–126 (1995)
Glowinski, R., Lions, J.L., Tremolieres, R.: Numerical Analysis of Variational Inequalities. In: Studies in Mathematics and its Applications, vol. 8. North-Holland, Amsterdam (1981)
Kawarada, H.: Free Boundary Problem, Theory and Numerical Method. Tokyo University Press (1989) (in Japanese)
Koshigoe, H., Shiraishi, T., Ehara, M.: Distribution algorithm in finite difference method and its application to a 2D simulation of temperature inversion. Journal of Computational and Applied Mathematics 232, 102–108 (2009)
Lions, J.L.: Perturbations Singulieres dans les Problems aux Limites et en Control Optimal. Lecture Notes in Mathematics, vol. 323. Springer, Heidelberg (1973)
MIC: Investigation result: Environmental dispute coordination in the Teshima Island industrial waste case (September 1995) (in Japanese)
Takatsuki, H.: The Teshima Island industrial waste case and its process towards resolution. J. Mater Cycles Waste Manag. 5, 26–30 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yoshii, T., Koshigoe, H. (2010). A Computational Method for Groundwater Flow through Industrial Waste by Use of Digital Color Image. In: Li, K., Fei, M., Jia, L., Irwin, G.W. (eds) Life System Modeling and Intelligent Computing. ICSEE LSMS 2010 2010. Lecture Notes in Computer Science, vol 6329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15597-0_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-15597-0_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15596-3
Online ISBN: 978-3-642-15597-0
eBook Packages: Computer ScienceComputer Science (R0)