Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/90513
| Title: | A novel lattice Boltzmann model for fourth order nonlinear partial differential equations | Authors: | Qiao, Z Yang, X Zhang, Y |
Issue Date: | May-2021 | Source: | Journal of scientific computing, May 2021, v. 87, no. 2, 51 | Abstract: | In this paper, a novel lattice Boltzmann (LB) equation model is proposed to solve the fourth order nonlinear partial differential equation (NPDE). Different from existing LB models, a source distribution function is introduced to remove some unwanted terms in the nonlinear part of the equation. Hereby, the equilibrium distribution function is designed to follow the rule of Chapman–Enskog (C–E) analysis. Through the C–E procedure, the fourth order NPDE can be recovered perfectly from the proposed LB model. A series of numerical experiments have been carried out to solve some widely studied fourth order NPDEs, including the Kuramoto–Sivashinsky equation, Cahn–Hilliard equation with double-well potential and a fourth order diffuse interface model with Peng–Robinson equation of state. Numerical results show that the performance of the present LB model is much better than other existing LB models. | Keywords: | Cahn–Hilliard equation Fourth order nonlinear partial differential equation Lattice Boltzmann method |
Publisher: | Springer | Journal: | Journal of scientific computing | ISSN: | 0885-7474 | DOI: | 10.1007/s10915-021-01471-6 | Rights: | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 This is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10915-021-01471-6. |
| Appears in Collections: | Journal/Magazine Article |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| manuscript_JSC_QYZ.pdf | Pre-Published version | 459.63 kB | Adobe PDF | View/Open |
Access
View full-text via PolyU eLinks 
Page views
45
Last Week
1
1
Last month
Citations as of May 28, 2023
Downloads
2
Citations as of May 28, 2023
SCOPUSTM
Citations
2
Citations as of Jun 2, 2023
WEB OF SCIENCETM
Citations
2
Citations as of Jun 1, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.