Central Schemes for Balance Laws of Relaxation Type
Central Schemes for Balance Laws of Relaxation Type
复制标题
松弛型平衡法则的中央方案
DOI：
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发表时间：
2000
影响因子：
2.9
通讯作者：
G. Russo
中科院分区：
文献类型：
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作者：
S. F. Liotta;V. Romano;G. Russo
数学物理中的几个模型都是用带源项的拟线性双曲方程组来描述的，在某些情况下，产生项会变得刚性。在这里，合适的中央数值计划，这样的问题的开发和应用程序的Broadwell模型和扩展热力学。
数值方法是将Nessy-Tadmor格式推广到非齐次情形，在离散平衡方程中加入生产项的单元平均。导出了一个在松弛参数上一致精确的二阶格式，并分析了它的性质。数值试验证实了格式的准确性和鲁棒性。
Several models in mathematical physics are described by quasi-linear hyperbolic systems with source term and in several cases the production term can become stiff. Here suitable central numerical schemes for such problems are developed and applications to the Broadwell model and extended thermodynamics are presented.
The numerical methods are a generalization of the Nessyahu--Tadmor scheme to the nonhomogeneous case by including the cell averages of the production terms in the discrete balance equations. A second order scheme uniformly accurate in the relaxation parameter is derived and its properties analyzed. Numerical tests confirm the accuracy and robustness of the scheme.