%0 PDF %T Two complementary lattice-Boltzmann-based analyses for nonlinear systems %A Otomo, Hiroshi; Boghosian, Bruce M.; Dubois, Francois %D 2017 %8 2017-07-25 %I Tufts Archival Research Center %R http://localhost/files/bg257r883 %X Abstract: Lattice Boltzmann models that asymptotically reproduce solutions of nonlinear systems are derived bythe Chapman-Enskog method and the analytic method based on recursive substitution and Taylor-seriesexpansion. While both approaches yield identical hydrodynamic equations and can be generalized toanalyze a variety of nonlinear systems, they have complementary advantages and disadvantages. Inparticular, the error analysis is substantially easier using the Taylor-series expansion method. In thiswork, the Burgers’, Korteweg-de Vries, and Kuramoto-Sivashinsky equations are analyzed using bothapproaches, and the results are discussed and compared with analytic solutions and previous studies. %G eng %[ 2018-10-08 %9 Text %~ Tufts Digital Library %W Institution