制造解法 Manufactured Solutions 相关的论文的阅读笔记

Verification of Euler/Navier–Stokes codes using the method of manufactured solutions

https://doi.org/10.1002/fld.660

粘性项与扩散项之间的平衡

For the Navier–Stokes simulations presented herein, the absolute viscosity is chosen to be
a large constant value (μ = 10 N · s/m^2 ) in order to obtain a balance between convection and
diffusion. The thermal conductivity k is determined from the viscosity by specifying a constant

对于本文提出的纳维-斯托克斯模拟，绝对粘度被选择为一个大的常数值（μ = 10 N · s/m^2），以获得对流和扩散之间的平衡。导热系数 k 由粘度通过指定常数确定

他没有解释为什么要保持这个平衡

后面说了

By balancing these two terms, the possibility of a ‘false positive’ on the order of accuracy test is minimized [8, 20]

具体操作过程

但是他没有讲制造解的源项具体是怎么构造的

Code Verification by the Method of Manufactured Solutions

https://doi.org/10.1115/1.1436090

制造解的复杂性

解结构也必须足够复杂，以便测试所测试的控制方程中的所有项都得到执行

使用案例

他这里是直接把制造解代入偏微分方程式，并且把所有项移到一边，得到的就是源项

Debug 编程错误

用制造解法还可以找出编程错误

Verification of a Compressible CFD Code Using the Method of Manufactured Solutions

https://doi.org/10.2514/6.2002-3110

我下不到……然后 sci hub 下载的都是公式不全的

但是内容看上去和 Verification of Euler/Navier–Stokes codes using the method of manufactured solutions 有点像

On the use of the method of manufactured solutions for the verification of CFD codes for the volume-averaged Navier–Stokes equations

https://doi.org/10.1016/j.compfluid.2015.03.002

他的写法似乎也是，直接写了 NS 方程全部移到一边作为源项

总之……这些似乎就够了