Abstract
Vagueness and uncertainty are intrinsic aspects of engineering design. This chapter presents the application of fuzzy set and intuitionistic fuzzy set to quantify uncertainty and vagueness associated with fluid mechanical problem, especially solute transport through groundwater. The advection dispersion equation having imprecise model parameters such as hydrodynamic dispersion coefficient and groundwater flow velocity is used to simulate the process of tracer transport through geological media. The measurement uncertainties of the model parameters are represented by fuzzy and intuitionistic fuzzy numbers, and corresponding uncertainties of solute transport model are calculated using fuzzy set and intuitionistic fuzzy set theories, respectively. The solutions of the advection dispersion equation at various α-cuts are numerically obtained using lattice Boltzmann scheme for solute transport model and due to this the present numerical approach is named as fuzzy lattice Boltzmann (FLB) and intuitionistic fuzzy lattice Boltzmann (IFLB). The stability analysis of these techniques for a given set of input parameters is carried out.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
