Two complementary lattice-Boltzmann-based analyses for nonlinear systems

Hiroshi Otomo, Bruce M. Boghosian and François Dubois

Physica A: Statistical Mechanics and its Applications, 2017, vol. 486, issue C, 1000-1011

Abstract: Lattice Boltzmann models that asymptotically reproduce solutions of nonlinear systems are derived by the Chapman–Enskog method and the analytic method based on recursive substitution and Taylor-series expansion. While both approaches yield identical hydrodynamic equations and can be generalized to analyze a variety of nonlinear systems, they have complementary advantages and disadvantages. In particular, the error analysis is substantially easier using the Taylor-series expansion method. In this work, the Burgers’, Korteweg–de Vries, and Kuramoto–Sivashinsky equations are analyzed using both approaches, and the results are discussed and compared with analytic solutions and previous studies.

Keywords: Lattice Boltzmann equation; Chapman–Enskog analysis; Burgers equation; Korteweg–de Vries equation; Kuramoto–Sivashinsky equation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:486:y:2017:i:c:p:1000-1011

DOI: 10.1016/j.physa.2017.06.010

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