Numerical simulation of the incompressible Navier-Stokes equations

Zdanski PSB; Ortega MA; Fico NGCR

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Numerical simulation of the incompressible Navier-Stokes equations

机译：不可压缩的Navier-Stokes方程的数值模拟

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A scheme for the numerical simulation of incompressible flows is presented. The modeling equations are written in conservation law form. The algorithm, written in a delta form, is very robust without resorting to any degree of relaxation. The well-known cumbersome numerical implementation related to staggered grids is totally removed. The scheme is second-order-accurate in space and first-order in time. An important novelty is the separation of the pressure terms in the physical equations in a pressure flux, facilitating the tackling of different fluids. The algorithm has been applied to laminar and turbulent flows. The results are truly encouraging.

机译：提出了不可压缩流数值模拟的方案。建模方程以守恒定律形式编写。以增量形式编写的算法非常强大，无需求助于任何程度的松弛。完全消除了与交错网格有关的众所周知的繁琐的数字实现。该方案在空间上是二阶精确的，在时间上是一阶的。一个重要的新颖之处在于，压力方程中的物理方程式中的压力项是分离的，从而有助于处理不同的流体。该算法已应用于层流和湍流。结果确实令人鼓舞。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2004年第6期|共31页
作者
Zdanski PSB; Ortega MA; Fico NGCR;
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正文语种 eng
中图分类热力工程、热机;
关键词
BACKWARD-FACING STEP; EULER EQUATIONS; HEAT-TRANSFER; FLOW; FLUID; CHANNEL; CAVITY; LAYER;

机译：向后步骤;欧拉方程;传热;流动;流体;通道;空腔;层;

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1. Numerical Simulations for Two-Dimensional Stochastic Incompressible Navier-Stokes Equations [J] . Lu JX, Ma YC Numerical Methods for Partial Differential Equations: An International Journal . 2010,第1期

机译：二维随机不可压缩Navier-Stokes方程的数值模拟
2. Higher order numerical simulation of unsteady viscous incompressible flows using kinetically reduced local Navier-Stokes equations on a GPU [J] . Hashimoto T., Tanno I., Yasuda T., Computers & Fluids . 2015,第Null期

机译：在GPU上使用动力学简化的局部Navier-Stokes方程对非稳态粘性不可压缩流进行高阶数值模拟
3. Implicit eighth-order central compact scheme for the numerical simulation of steady and unsteady incompressible Navier-Stokes equations [J] . Zhang J., Qian Z. International journal of computational fluid dynamics . 2012,第1a5期

机译：稳态和非稳态不可压缩Navier-Stokes方程数值模拟的隐式八阶中心紧凑格式
4. Direct meshless local Petrov-Galerkin (DMLPG) method for numerical simulation of two-dimensional incompressible Navier-Stokes equations [C] . Pranowo, Agung Tri Wijayanta International Conference on Science and Applied Science . 2018

机译：直接网状本地Petrov-Galerkin（DMLPG）用于二维不可压缩Navier-Stokes方程的数值模拟方法
5. Numerical Investigation on the Projection Method for the Incompressible Navier-Stokes Equations on MAC Grid [D] . Yek, Vorleak. 2018

机译：MAC网格上不可压缩的Navier-Stokes方程投影方法的数值研究
6. A Numerical Method for Solving the 3D Unsteady Incompressible Navier-Stokes Equations in Curvilinear Domains with Complex Immersed Boundaries [O] . Liang Ge, Fotis Sotiropoulos -1

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7. Direct meshless local Petrov-Galerkin (DMLPG) method for numerical simulation of two-dimensional incompressible Navier-Stokes equations [O] . Agung Tri Wijayanta 2018

机译：直接网状本地Petrov-Galerkin（DMLPG）用于二维不可压缩Navier-Stokes方程的数值模拟方法

Numerical simulation of the incompressible Navier-Stokes equations

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