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Curvilinear Coordinate Method for the Solutions of Initial Value Problems Using the Third-Order Upwind Differencing Scheme

机译：利用三阶迎风差分格式求解初值问题的曲线坐标法

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A calculation procedure to solve highly unsteady incompressible Navier-Stokes equations in arbitrary shapes is presented. The boundary-fitted curvilinear coordinate system is used to generate a coordinate surface coincident with the boundary contours in the physical plane. A second-order forward difference approximation is used for the time derivative and a third-order upwind differencing method for the convective terms which suppress the instabilities is used. The third-order method for the space derivatives is based on the quadratic upstream interpolation for convective kinematics (QUICK) algorithm. The solutions for a time-marching square cavity flow and a channel flow with a bump at the Reynolds number of 10 to the 4th are obtained.

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Takemoto, Y.; Nakamura, Y.; Yamabe, H.; Naitou, H.; Abe, Y.;
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年度 1985
页码 p.1-37
总页数 37
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Flow theory; Incompressible flow; Navier-stokes equation; Algorithms; Approximation; Cavitation flow; Channel flow; Coordinates; Difference equations; High reynolds number; Time marching;

机译：流动理论;不可压缩流动; Navier-stokes方程;算法;近似;空化流动;通道流动;坐标;差分方程;高雷诺数;时间推进;

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专利

1. Proper Finite Difference Schemes for Simulations of Incompressible Turbulent Flow in Generalized Curvilinear Coordinates (2nd Report, Validation of finite difference schemes in Generalized Curvilinear Coordinates) [J] . Tetsuya KOGAKI, Toshio KOBAYASHI, Nobuyuki TANIGUCHI 日本機械学会論文集. B編 . 1999,第633期

机译：广义曲线坐标系中不可压缩湍流模拟的正确有限差分方案（第二份报告，广义曲线坐标系中有限差分方案的验证）
2. II. NUMERICAL METHODS CONSTRUCTION OF GODUNOV-TYPE DIFFERENCE SCHEMES IN CURVILINEAR COORDINATES AND AN APPLICATION TO SPHERICAL COORDINATES [J] . M. V. Abakumov Computational mathematics and modeling . 2015,第2期

机译：二。曲线坐标系中GODUNOV型差分格式的数值方法构建及其在球坐标系中的应用
3. METHOD FOR THE CONSTRUCTION OF GODUNOV-TYPE DIFFERENCE SCHEMES IN CURVILINEAR COORDINATES AND ITS APPLICATION TO CYLINDRICAL COORDINATES [J] . M. V. Abakumov Computational mathematics and modeling . 2014,第3期

机译：曲线坐标系中古杜诺夫式差分格式的构造方法及其在圆柱坐标系中的应用
4. Grid-Optimized Upwind DRP Finite Difference Scheme on Curvilinear Grids for CAA [C] . Hai-qing SI, Tong-guang WANG International Congress and Exhibition on Noise Control Engineering . 2009

机译：CAA曲线网格网格优化的UPWIND DRP有限差分方案
5. An arbitrary curvilinear coordinate particle in cell method. [D] . Fichtl, Christopher A. 2010

机译：单元法中的任意曲线坐标粒子。
6. Application of Laplace–Adomian Decomposition Method for the Analytical Solution of Third-Order Dispersive Fractional Partial Differential Equations [O] . Rasool Shah, Hassan Khan, Muhammad Arif, 2019

机译：拉普拉斯 - adomian分解方法在三阶分散分数偏微分方程分析解的应用
7. Proper Finite Difference Schemes for Simulations of Incompressible Turbulent Flow in Generalized Curvilinear Coordinates. 1st Report, Analytical Conservation Properties of Coordinate Transformed Basic Equations and Extension of the Proper Finite Difference Schemes to Generalized Curvilinear Coordinates. [O] . Tetsuya KOGAKI, Toshio KOBAYASHI, Nobuyuki TANIGUCHI 1999

机译：广义曲线坐标中不可压缩湍流模拟的适当有限差分方案。第一报告，坐标变换基本方程的分析保护特性和适当的有限差分方案的扩展到广义曲线坐标。
8. Third-Order Upwind Finite-Difference Scheme in Numerical Analysis for Initial-Value Problems [R] . Takemoto, Y., Abe, Y., Naitou, H., 1984

机译：初值问题数值分析中的三阶迎风有限差分格式

Curvilinear Coordinate Method for the Solutions of Initial Value Problems Using the Third-Order Upwind Differencing Scheme

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