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Lattice Boltzmann Model for High-Order N...

Shi, Baochang...

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Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations by Shi, Baochang ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	10-07-2009
Summary	A general lattice Boltzmann (LB) model is proposed for solving nonlinear partial differential equations with the form ∂tϕ+∑mk=1αk∂kxΠk(ϕ)=0, where αk are constant coefficients, and Πk(ϕ) are the known differential functions of ϕ, 1≤k≤m≤6. The model can be applied to the common nonlinear evolutionary equations, such as (m)KdV equation, KdV-Burgers equation, K(m,n) equation, Kuramoto-Sivashinsky equation, and Kawahara equation, etc. Unlike the existing LB models, the correct constraints on moments of equilibrium distribution function in the proposed model are given by choosing suitable \emph{auxiliary-moments}, and how to exactly recover the macroscopic equations through Chapman-Enskog expansion is discussed in this paper. Detailed simulations of these equations are performed, and it is found that the numerical results agree well with the analytical solutions and the numerical solutions reported in previous studies.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	doi:10.1103/PhysRevE.97.013304

Citation

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AMA 11th EditionReferences

Shi, Baochang. Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations. N.A. July 10, 2009. Accessed September 20, 2024. https://online.provdatabase.com/cite/2379

APA 7th EditionReferences

Shi, Baochang. (2009). Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations. N.A. https://online.provdatabase.com/cite/2379

Chicago 17th EditionReferences

Shi, Baochang. Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations. N.A. 2009. https://online.provdatabase.com/cite/2379

HarvardReferences

Shi, Baochang. (2009). Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2379. (Accessed 20 September 2024).

Harvard AustraliaReferences

Shi, Baochang, 2009, Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations, N.A, viewed 20 September 2024, <https://online.provdatabase.com/cite/2379>

MLA 9th EditionWorks Cited

Shi, Baochang. Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations. N.A, 2009. PROV Database, https://online.provdatabase.com/cite/2379.

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