论文标题
具有可变通量限制器的可实现的二阶对流方法用于矩传输方程
A realizable second-order advection method with variable flux limiters for moment transport equations
论文作者
论文摘要
提出了一种使用可变通量限制器的二阶总变化（TVD）方法来克服非实现性问题，这是将常规二阶TVD方案应用于矩传输方程的主要障碍之一。在目前的方法中，通过允许在二阶TVD区域内的磁通限值的灵活选择，可以重建一个可实现的瞬间。提出了同时满足可变通量限制器方案的必要条件，并提出了三阶矩设置的二阶TVD属性的必要条件。满足二阶TVD属性的策略有条件地扩展到四阶和五阶时刻。对所提出的方法进行了验证并与一维和二维配置中的其他高阶可实现的方案进行了比较，并发现可以保留矩的可实现性，同时满足第三阶矩设置的高阶TVD属性，并有条件地为第四阶和五阶时刻有条件地设置。
A second-order total variation diminishing (TVD) method with variable flux limiters is proposed to overcome the non-realizability issue, which has been one of major obstacles in applying the conventional second-order TVD schemes to the moment transport equations. In the present method, a realizable moment set at a cell face is reconstructed by allowing the flexible selection of the flux limiter values within the second-order TVD region. Necessary conditions for the variable flux limiter scheme to simultaneously satisfy the realizability and the second-order TVD property for the third-order moment set are proposed. The strategy for satisfying the second-order TVD property is conditionally extended to the fourth- and fifth-order moments. The proposed method is verified and compared with other high-order realizable schemes in one- and two-dimensional configurations, and is found to preserve the realizability of moments while satisfying the high-order TVD property for the third-order moment set and conditionally for the fourth- and fifth-order moments.
