A Lattice Boltzmann BGK Model with an Amending Function for Two-Dimensional Second-Order Nonlinear Partial Differential Equations

A Lattice Boltzmann BGK Model with an Amending Function for Two-Dimensional Second-Order Nonlinear Partial Differential Equations

A mesoscopic lattice Boltzmann method based on the BGK model is proposed to solve a class of two-dimensional second-order nonlinear partial differential equations by incorporating an amending function. The model provides an efficient and stable framework for simulating initial value problems of seco...

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Bibliographic Details
Main Authors: Xiaohua Bi, Junbo Lei, Demei Li, Lindong Lai, Huilin Lai, Zhipeng Liu
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Entropy
Subjects:
lattice Boltzmann method
second-order nonlinear partial differential equation
Chapman–Enskog expansion
D2Q4 model
Online Access:https://www.mdpi.com/1099-4300/27/7/717
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