Numerical methods in fluid dynamics, combustion/detonation, magnetohydrodynamics and astrophysics

流体动力学、燃烧/爆炸、磁流体动力学和天体物理学中的数值方法

• 批准号: 7534-2008
• 负责人: Arminjon, Paul
• 金额: $ 1.6万
• 依托单位: Université de Montréal
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=389537
• 关键词: Numerical; methods; fluid; dynamics; combustion

In the last few years, we have constructed Finite Volume numerical Methods (FVM) of "Central type" for nonlinear systems of Hyperbolic equations and Conservation Laws (HCL), extending to 2 and 3-dimensional FV Methods the Lax-Friedrichs and Nessyahu-Tadmor 1-dimensional difference schemes.These methods share the advantages of simplicity and robustness, as they do not require the time-consuming resolution of Riemann Problems; we obtained very good results for problems in transonic / supersonic compressible flows and Aerodynamics.

近几年来，我们构造了求解非线性双曲型方程组和守恒律方程组的中心型有限体积数值方法（FVM），将一维Lax-Friedrichs和Nessyahu-Tadmor差分格式推广到二维和三维FV方法，这些方法具有简单和鲁棒的优点，因为它们不需要求解复杂的Riemann问题;我们对跨音速/超音速可压缩流动和空气动力学问题获得了很好的结果。