CFD Python: Navier-Stokes方程的12个步骤

The Journal of open source education Pub Date : 2018-11-12 DOI:10.21105/JOSE.00021

L. Barba, G. Forsyth

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引用次数: 24

摘要

•步骤1-4是一维的：（i）具有阶跃函数初始条件（IC）和适当边界条件（BC）的线性对流；具有相同的IC/BCs：（ii）非线性对流，和（iii）仅扩散；（iv）Burgers方程，具有锯齿IC和周期BCs。•步骤5-10是二维的：（v）具有平方函数IC和适当BC的线性对流；具有相同IC/BCs：（vi）非线性对流，和（vii）仅扩散；（viii）Burgers方程；（ix）拉普拉斯方程，具有零IC和Neumann和Dirichlet BCs；（x）二维泊松方程。•步骤11-12求解二维（xi）腔流中的Navier–Stokes方程；（xii）渠道流量。

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CFD Python: the 12 steps to Navier-Stokes equations

• Steps 1–4 are in one dimension: (i) linear convection with a step-function initial condition (IC) and appropriate boundary conditions (BC); with the same IC/BCs: (ii) nonlinear convection, and (iii) diffusion only; (iv) Burgers’ equation, with a saw-tooth IC and periodic BCs. • Steps 5–10 are in two dimensions: (v) linear convection with a square function IC and appropriate BCs; with the same IC/BCs: (vi) nonlinear convection, and (vii) diffusion only; (viii) Burgers’ equation; (ix) Laplace equation, with zero IC and both Neumann and Dirichlet BCs; (x) Poisson equation in 2D. • Steps 11–12 solve the Navier–Stokes equation in 2D: (xi) cavity flow; (xii) channel flow.

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The Journal of open source education

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