摘要
我们为模仿 sine-Gordon 方程建立格子 Boltzmann 方法的一个含蓄的计划，它能被转变成明确的，因此计划的计算简单。而且，参数。含蓄的计划中独立于松驰时间，它使模型更灵活。数字结果证明这个方法是很有效的。
We establish an implicit scheme of lattice Boltzmann method for simulating the sine-Gordon equation, which can be transformed into the explicit one, so the computation of the scheme is simple. Moreover, the parameter θ of the implicit scheme is independent of the relaxation time, which makes the model more flexible. The numerical results show that this method is very effective.
基金
Supported by the National Natural Science Foundation of China under Grant No 10661005, and the Guangxi Science Foundation under Grant No 0640165.
