LATTICE BOLTZMANN METHOD FOR GENERAL CONVECTION-DIFFUSION EQUATION BY USING MULTIPLE RELAXATION MODEL AND BOUNDARY SCHEMES

• Main Author: NUR SYAFIQAH, HANAFIAH
• Format: Final Year Project Report
• Language: English; English
• Published: Universiti Malaysia Sarawak (UNIMAS) 2019
• Subjects: QA75 Electronic computers. Computer science
• Online Access: http://ir.unimas.my/id/eprint/33931/1/Nur%20Syafiqah%20Binti%20Hanafiah%20-%2024%20pgs.pdf; http://ir.unimas.my/id/eprint/33931/2/Nur%20Syafiqah%20Binti%20Hanafiah.pdf; http://ir.unimas.my/id/eprint/33931/

Due to the multidimensionality, nonlinearity and the coupling with other physical fields of convection-diffusion equation, the traditional numerical method faces some complication in terms of universality and efficiency. In the past years, Lattice Boltzmann (LB) methods has been adapted to convection-diffusion equations due to its efficient approach for hydrodynamics simulation and this method is simple in formulation, easy for parallelization and can be used extendedly to high dimensional problems directly. Therefore, a model is proposed in order to solve the nonlinear convection-diffusion equation and the model used is the MultipleRelaxation-Time model. This model provides great flexibility in tuning the relaxation of individual movement and it is the most stable model although some might say that the model is difficult to deal with. The model mimics the traditional method and additionally, these models are able to be developed further into third-order models which will be left for future.