摘要
差分格式是计算流体力学中最为核心的因素,一直是CFD发展的主线。为了分析比较各种差分格式和限制器,以激波管Riemann问题为算例,应用八种差分格式和五种限制器进行了计算分析,对比了各种格式对于膨胀波、激波及接触间断的分辨率,讨论了中心型和迎风型格式的粘性机理和优劣,比较了各类限制器的压缩性和耗散性。研究表明,各类差分格式对间断和粘性的处理,是提高格式精度和判别格式优劣的关键。采用MUSCL方法插值时,应权衡压缩性和耗散性,合理选择限制器。各类格式通过与MUSCL高阶插值方法相结合,可以有效提高的计算效率和计算精度。
Scheme as the core of CFD is always the key factor in the development of computational fluid dynamic. Eight difference schemes and five limiters are adopted for analysis and comparison in numerical simulation of Riemann problem. Performance of each scheme is compared for expansion wave, shock discontinuity and contact discontinuity simulation. Numerical dissipation and its mechanism are discussed. The computation shows that the viscosity and discontinuity resolution of each scheme is vital to improve scheme＇s accuracy and judge its quality. Limiter should be selected appropriately by balancing compressive and diffusive performance. MUSCL method is effective to increase computational efficiency and resolution.
出处
《计算机仿真》
CSCD
北大核心
2009年第8期355-359,364,共6页
Computer Simulation
