任意非正交曲线坐标系中湍流的数值计算

一、控制方程本文旨在运用张量分析理论 ,结合成熟的 SIMPL E算法 ,发展一种适用于复杂几何形状内湍流流场数值求解的方法。假设流动为二维单连通域内的等温、不可压、定常、无化学反应、单组分湍流流动 ,采用双方程湍流模型。由雷诺平均的湍流控制方程的基本形式 1 ,2 ] ,结合张量分析理论 ,可推导出任意非正交曲线坐标系中湍流控制方程的逆变物理分量表达式(Δ/Δx(j) ) (ρv(j) ) =0 (1)　(Δ/Δx(j) )〔ρv(i ) v(j) - 2μs(ij) 〕 + imj 〔ρv(m ) v(j) - 2μs(m j) 〕 =- g(ij) ( p/ x(j) ) (2 )　(Δ/Δx(j) )〔ρv(j) k - g(jm …

A NUMERICAL CALCULATION OF TURBULENT FLOW IN GENERAL NON-ORTHOGONAL CURVILINEAR COORDINATE SYSTEM

The expressions of the governing equations of turbulent flow with contravariant physical velocity components in a general non orthogonal curvilinear coordinate system are derived by means of tensor theory.A numerical method and a computer program for turbulent recirculating flow in the general non orthogonal curvilinear coordinate system are developed.Since the velocity and the displacement vectors are decomposed into their contravariant components,the method has the main advantages of its obviousness in physical meanings,easiness in treatment of boundary conditions and the suitability to the numerical calculations of turbulent flow in various complex geometries.The flow fields in some kinds of complex geometries are calculated.