Lattice Boltzmann scheme for hyperbolic heat conduction equation

被引：68

作者：

Ho, JR ^{[1
]}

Kuo, CP ^{[1
]}

Jiaung, WS ^{[1
]}

Twu, CJ ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Mech Engn, Chiayi 621, Taiwan

来源：

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 2002年 / 41卷 / 06期

关键词：

D O I：

10.1080/10407790190053798

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

An extended lattice Boltzmann (LB) equation, the lattice Boltzmann equation with a source term, is developed for the system of equations governing the hyperbolic heat conduction equation. Mathematical consistence between the proposed extended LB equation and the governing equations are accomplished by the Chapman-Enskog expansion. Four illustrative examples, with both finite and semi-infinite computational domains and subjected to linear and nonlinear boundary conditions, are simulated. All numerical predications agree very well with the existing solutions in the literature. It is also demonstrated that the present scheme is stable and free of numerical oscillations especially around the wave front, where sharp change in temperature occurs.

引用

页码：591 / 607

页数：17

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