应用于计算气动声学的低色散有限体积格式

摘要

The low-dispersion finite volume (LDFV) scheme is applied to thecell vertex-centered scheme.The interpolation coefficents of the two-order LDFV scheme are derived in detail.Based on this theory, an existing high accuracy upwind finite volume computer code is improved to achieve the obiect of low dispersion.As an example,the classical one dimension acoustic fluctuation transmits is calculated using the new code. Compared with the upwind scheme results and the theoretical values,it is showed that the LDFV scheme has the property of low dispersion and is suitable for aeroacoustic problem computation.%根据数值格式和原控制方程的色散关系，研究了低色散有限体积格式（LDFV）的构造方法，详细推导了二阶顶点中心LDFV格式的构造系数.在此基础上，改进了已有的高精度有限体积迎风格式计算程序，以达到低色散、高精度要求.采用经典的一维声脉冲传播为算例，其结果与迎风格式的结果及理论值进行了比较，说明LDFV格式有较低的色散和耗散，因而更适合于计算气动学问题.