Active Flux Schemes
Active Flux Schemes
复制标题
DOI：
10.2514/6.2011-382
复制
发表时间：
2011-01
期刊：
影响因子：
--
通讯作者：
Timothy A. Eymann;P. Roe
中科院分区：
文献类型：
--
作者：
Timothy A. Eymann;P. Roe
发展了一类主动通量格式，并将其用于求解线性平流方程和非线性Burgers方程的模型问题。主动通量方案将边缘值和通量视为独立变量，将可用于描述解的自由度加倍，而无需扩大模板。计划高达三阶精度进行了探讨。高阶方案产生的振荡通过使用基于特征的限制器来控制，该限制器在没有过度限幅的情况下保留解中的真极值。
A class of active flux schemes is developed and employed to solve model problems for the linear advection equation and non-linear Burgers equation. The active flux schemes treat the edge values, and hence the fluxes, as independent variables, doubling the degrees of freedom available to describe the solution without enlarging the stencil. Schemes up to third order accurate are explored. Oscillations generated by the higher-order schemes are controlled through the use of a characteristic-based limiter that preserves true extrema in the solution without excessive clipping.