Lattice Boltzmann models for the convection-diffusion equation: D2Q5 vs D2Q9
نویسندگان
چکیده
منابع مشابه
Lattice Boltzmann model for the convection-diffusion equation.
We propose a lattice Boltzmann (LB) model for the convection-diffusion equation (CDE) and show that the CDE can be recovered correctly from the model by the Chapman-Enskog analysis. The most striking feature of the present LB model is that it enables the collision process to be implemented locally, making it possible to retain the advantage of the lattice Boltzmann method in the study of the he...
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Numerous lattice Boltzmann (LB) methods have been proposed for solution of the convection–diffusion equations (CDE). For the 2D problem, D2Q9, D2Q5 or D2Q4 velocity models are usually used. When LB convection–diffusion models are used to solve a CDE coupled with Navier–Stokes equations, boundary conditions are found to be critically important for accurately solving the coupled simulations. Foll...
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In this paper, a rectangular lattice Boltzmann model is proposed for nonlinear convection-diffusion equations (NCDEs). The model can be used to solve NCDEs with very general form by using a real/complex-valued quadric equilibrium distribution function and relaxation time. Detailed simulations on several examples are performed to validate the model. The numerical results show good agreement with...
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ژورنال
عنوان ژورنال: International Journal of Heat and Mass Transfer
سال: 2017
ISSN: 0017-9310
DOI: 10.1016/j.ijheatmasstransfer.2016.11.092