Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation

DOI10.1016/j.compfluid.2018.01.036zbMath1410.76373arXiv1711.03540OpenAlexW2963900603MaRDI QIDQ1653833

François Dubois, Hiroshi Otomo, Bruce M. Boghosian

Publication date: 6 August 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03540

zbMATH Keywords

Kuramoto-Sivashinsky equationnonlinear equationlattice Boltzmann modelsD1Q7high order analysisTaylor-series expansion method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Particle methods and lattice-gas methods (76M28)

Related Items (8)

A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation ⋮ Discrete Boltzmann multi-scale modelling of non-equilibrium multiphase flows ⋮ Nonlinear fourth order Taylor expansion of lattice Boltzmann schemes ⋮ Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method ⋮ A non-local quasi-equilibrium state in the Bhatnagar-Gross-Krook Boltzmann equation for thermo-hydrodynamics: conservation laws, the Boltzmann H-theorem, and the fluctuation-dissipation theorem ⋮ Editorial for the special issue ``DSFD 2017 ⋮ Numerical simulation of the fractional dispersion advection equations based on the lattice Boltzmann model ⋮ A block triple-relaxation-time lattice Boltzmann model for nonlinear anisotropic convection-diffusion equations

Cites Work

• Unnamed Item
• Numerical method based on the lattice Boltzmann model for the Kuramoto-Sivashinsky equation
• A lattice Boltzmann model for the Korteweg-de Vries equation with two conservation laws
• Equivalent partial differential equations of a lattice Boltzmann scheme
• A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
• Truncation error analysis of lattice Boltzmann methods.
• Two complementary lattice-Boltzmann-based analyses for nonlinear systems
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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