增强优化格式在声散射问题中的应用

武从海; 马瑞轩; 王益民; 张树海

doi:10.7638/kqdlxxb-2020.0135

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增强优化格式在声散射问题中的应用

专栏——国家数值风洞自主可控关键技术 | 更新时间：2026-05-28

- 增强优化格式在声散射问题中的应用
- Application of enhanced optimized difference schemes in acoustic scattering
- 空气动力学学报 2020年38卷第6期页码：1120-1128
- 作者机构：
  
  1. 中国空气动力研究与发展中心空气动力学国家重点实验室,绵阳,621000
  2. 中国空气动力研究与发展中心气动噪声控制重点实验室,绵阳,621000
- 作者简介：
  
  武从海(1981-), 男, 湖北监利人, 博士, 研究方向:计算流体力学及计算气动声学.E-mail:wraiment@163.com
  张树海(1963-), 研究员, 博导, 研究方向:高精度数值方法、非定常分离和气动噪声机理.E-mail:shuhai_zhang@163.com
- 基金信息：
  
  国家数值风洞工程;国家自然科学基金（11732016）;四川省科技计划（2018JZ0076）
- DOI：10.7638/kqdlxxb-2020.0135
  中图分类号： O241.8
- 纸质出版：2020
- 稿件说明：
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武从海, 马瑞轩, 王益民, 张树海. 增强优化格式在声散射问题中的应用[J]. 空气动力学学报, 2020, 38(6): 1120-1128.

WU Conghai, MA Ruixuan, WANG Yimin, et al. Application of enhanced optimized difference schemes in acoustic scattering[J]. 2020, 38(6): 1120-1128.
武从海, 马瑞轩, 王益民, 张树海. 增强优化格式在声散射问题中的应用[J]. 空气动力学学报, 2020, 38(6): 1120-1128. DOI： 10.7638/kqdlxxb-2020.0135.

WU Conghai, MA Ruixuan, WANG Yimin, et al. Application of enhanced optimized difference schemes in acoustic scattering[J]. 2020, 38(6): 1120-1128. DOI： 10.7638/kqdlxxb-2020.0135.

摘要

优化差分格式一般用于气动声学和湍流等多尺度问题的数值模拟，这类格式为了获得更精确的数值结果通常牺牲了收敛精度阶数。文献[

]

中构造了一种七点模板上最高阶精度格式与优化格式的加权组合格式，该格式达到了最优阶收敛精度，并获得了更好的谱分辨率性质。由于该格式比普通优化格式具有更好的谱分辨率性质，这里称其为增强优化格式。本文将讨论基于不同优化格式构造的增强优化格式，通过线性传播方程的数值测试选取表现相对较好的增强优化格式，然后针对声波散射问题进行数值模拟与分析。结果表明，该格式计算结果与六阶中心紧致格式相近，但所需计算时间更短；此外，增强优化格式为显式格式，因此相比紧致格式更容易处理边界条件以及更容易进行并行计算。

Abstract

The optimized difference schemes are usually employed for computational aeroacoustics(CAA) problems and the numerical simulations of multiscale turbulence problems. However

the good resolution on short waves is obtained at the cost of a degradation of the accuracy order. In paper[

]

a hybridization of the optimized scheme and the highest order scheme is proposed to improve the accuracy order and the spectral resolution

which is a weighted convex combination of the two schemes. Because of its better resolution property

this scheme is called as the enhanced optimized scheme here. In this paper

some enhanced optimized scheme

s are constructed based on different optimized schemes

and then one of them is chosen according to the computation results for linear advection problems. At last

the sound wave scattering problem is used to validate the ability of the chosen enhanced optimized scheme. This scheme obtains results close to those of the sixth order central compact scheme

but with smaller time consumption. Furthermore

compared with compact schemes

it is easier to deal with the boundary condition and to implement parallel computing for this scheme.

关键词

Keywords

references

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