Mohamad, A. A.Bawazeer, Saleh2013-08-012013-11-122013-08-012013Bawazeer, S. (2013). Stability and Accuracy of Lattice Boltzmann Method (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/27861http://hdl.handle.net/11023/858The advection di usion and Navier Stokes equation can be recovered from Lattice Boltzmann equation. The stability and accuracy analysis need to be performed to ensure that those equations are recovered correctly. The Lattice Boltzmann stability analysis is still an open research area. The von Neumann stability is used to investigate the maximum stable velocity of multi-relaxation time (MRT) model as a function of relaxation parameters for di erent lattice models. The maximum stable velocity is the maximum velocity that keep the error bounded. The accuracy of each lattice model is investigated as a function of velocity and number of mesh points. It is noted that the maximum velocity calculated from stability analysis becomes signi cant when the relaxation parameter is approaching 2 (zero viscosity), while the maximum velocity that ensures the accuracy becomes signi cant when the relaxation parameter is away from 2.engUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.EnergyMechanicalLatticeBoltzmannStabilityMRTLBMmaster thesishttp://dx.doi.org/10.11575/PRISM/27861