Entropy stable reduced order modeling of nonlinear conservation laws
Entropy stable reduced order modeling of nonlinear conservation laws
复制标题
DOI：
10.1016/j.jcp.2020.109789
复制
发表时间：
2019-09
期刊：
影响因子：
--
通讯作者：
Jesse Chan
中科院分区：
文献类型：
--
作者：
Jesse Chan
流体动力学中的非线性守恒律的降阶模型通常不继承全阶模型的稳定性。我们引入基于投影的超约化模型的非线性守恒律是全局保守的，并继承一个半离散的熵不等式独立的基础和参数的选择。
Reduced order models of nonlinear conservation laws in fluid dynamics do not typically inherit stability properties of the full order model. We introduce projection-based hyper-reduced models of nonlinear conservation laws which are globally conservative and inherit a semi-discrete entropy inequality independently of the choice of basis and choice of parameters.