@inproceedings{cfd4366f4723438386f9439d95b706bb,
title = "Optimal control of suspended sediment distribution model of Talaga lake",
abstract = "Talaga Lake is one of several lakes in Central Sulawesi that potentially to be managed in multi purposes scheme because of its characteristic. The scheme is addressed not only due to the lake maintenance because of its sediment but also due to the Algae farming for its biodiesel fuel. This paper governs a suspended sediment distribution model of Talaga lake. The model is derived from the two dimensional hydrodynamic shallow water equations of the mass and momentum conservation law of sediment transport. An order reduction of the model gives six equations of hyperbolic systems of the depth, two dimension directional velocities and sediment concentration while the bed elevation as the second order of turbulent diffusion and dispersion are neglected. The system is discreted and linearized such that could be solved numerically by box-Keller method for some initial and boundary condition. The solutions shows that the downstream velocity is play a role in transversal direction of stream function flow. The downstream accumulated sediment indicate that the suspended sediment and its changing should be controlled by optimizing the downstream velocity and transversal suspended sediment changing due to the ideal algae growth need.",
keywords = "box-Keller method, mass and momentum conservation law, minimum Pontryagin Principle, optimal control",
author = "R. Ratianingsih and R. Resnawati and Azim and Mardlijah and B. Widodo",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; 2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016 ; Conference date: 23-11-2016",
year = "2017",
month = aug,
day = "1",
doi = "10.1063/1.4994411",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Dieky Adzkiya",
booktitle = "International Conference on Mathematics - Pure, Applied and Computation",
}