如何用指向箭头写出方程中每个术语的定义？

Question 1

除了输入文字之外，创建这样的东西并不困难。

\documentclass[fleqn]{article}
\usepackage{amssymb}
\usepackage{relsize}
\usepackage{lipsum}
\usepackage{tikz}
\usetikzlibrary{tikzmark,positioning}
\begin{document}
\lipsum[1]

\begingroup\larger[4]
\[
\tikzmarknode{n1}{\rho\frac{D\vec V}{Dt}}~=~\tikzmarknode{n2}{-\nabla p}
 + \tikzmarknode{n3}{\rho\vec g}+\tikzmarknode{n4}{\mu\nabla^2\vec V}\]
\endgroup
\noindent
\begin{tikzpicture}[remember picture,shorten <=1mm,font=\footnotesize\sffamily]
 \begin{scope}[nodes={text width=6.5em,align=left},node distance=1ex]
  \node (e1) {\underline{Total derivative}};
  \node[right=of e1.north east,anchor=north west] (e2) {\underline{Pressure gradient}\\[1em]
     Fluid flows in the direction\dots};
  \node[right=of e2.north east,anchor=north west] (e3) {\underline{Body force term}\\[1em]
     External forces\dots};
  \node[right=of e3.north east,anchor=north west] (e4) {\underline{Diffusion term}\\[1em]
     For a Newtonian fluid\dots};
 \end{scope}     
 \node[below=0.5ex of e1.south] (eq){$=$};
 \node[below=0.5ex of eq] (tot) {$\rho\left[\frac{\partial \vec V}{\partial t}
 +\left(\vec V\cdot\vec\nabla\right)\vec V\right]$};
 \path (tot.south west) -- (tot.south east) coordinate[pos=0.25] (tot1)
  coordinate[pos=0.75] (tot2);
 \node[below left=2ex and 0ex of tot.south,text width=4em,align=left] (c1) 
    {Change of velocity};
 \node[below right=2ex and 0ex of tot.south,text width=4em,align=left] (c2) {Convective term};
 \draw[cyan,-stealth] (c1) -- (tot1);
 \draw[cyan,-stealth] (c2) -- (tot2);
 \begin{scope}[overlay]
 \foreach \X in {1,...,4}
 {\draw[cyan,-stealth] (e\X) -- (n\X);} 
 \end{scope}
\end{tikzpicture}\par

\lipsum[2]
\end{document}

Answer

除了输入文字之外，创建这样的东西并不困难。

\documentclass[fleqn]{article}
\usepackage{amssymb}
\usepackage{relsize}
\usepackage{lipsum}
\usepackage{tikz}
\usetikzlibrary{tikzmark,positioning}
\begin{document}
\lipsum[1]

\begingroup\larger[4]
\[
\tikzmarknode{n1}{\rho\frac{D\vec V}{Dt}}~=~\tikzmarknode{n2}{-\nabla p}
 + \tikzmarknode{n3}{\rho\vec g}+\tikzmarknode{n4}{\mu\nabla^2\vec V}\]
\endgroup
\noindent
\begin{tikzpicture}[remember picture,shorten <=1mm,font=\footnotesize\sffamily]
 \begin{scope}[nodes={text width=6.5em,align=left},node distance=1ex]
  \node (e1) {\underline{Total derivative}};
  \node[right=of e1.north east,anchor=north west] (e2) {\underline{Pressure gradient}\\[1em]
     Fluid flows in the direction\dots};
  \node[right=of e2.north east,anchor=north west] (e3) {\underline{Body force term}\\[1em]
     External forces\dots};
  \node[right=of e3.north east,anchor=north west] (e4) {\underline{Diffusion term}\\[1em]
     For a Newtonian fluid\dots};
 \end{scope}     
 \node[below=0.5ex of e1.south] (eq){$=$};
 \node[below=0.5ex of eq] (tot) {$\rho\left[\frac{\partial \vec V}{\partial t}
 +\left(\vec V\cdot\vec\nabla\right)\vec V\right]$};
 \path (tot.south west) -- (tot.south east) coordinate[pos=0.25] (tot1)
  coordinate[pos=0.75] (tot2);
 \node[below left=2ex and 0ex of tot.south,text width=4em,align=left] (c1) 
    {Change of velocity};
 \node[below right=2ex and 0ex of tot.south,text width=4em,align=left] (c2) {Convective term};
 \draw[cyan,-stealth] (c1) -- (tot1);
 \draw[cyan,-stealth] (c2) -- (tot2);
 \begin{scope}[overlay]
 \foreach \X in {1,...,4}
 {\draw[cyan,-stealth] (e\X) -- (n\X);} 
 \end{scope}
\end{tikzpicture}\par

\lipsum[2]
\end{document}

Question 2

尝试结合数学+colortbl+森林

第一部分是让数学 + colortbl 发挥作用

我们得到了---

第一部分

\documentclass[fleqn]{article}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{tcolorbox}
\tcbuselibrary{skins}
\definecolor{boxTitle}{HTML}{fff79a}
\definecolor{boxBackground}{HTML}{fffce0}
\definecolor{boxFrame}{HTML}{f1e2b8}

\tcbset{my box/.style={
    enhanced, fonttitle=\bfseries,
    colback=boxBackground, colframe=boxFrame,
    coltitle=black, colbacktitle=boxTitle,
    attach boxed title to top left={xshift=0.3cm,
                                    yshift*=-\tcboxedtitleheight/2},
    boxed title style={
      before upper=\hspace*{0.5cm}, % reserve space for the image
      overlay={
       \node at ([xshift=0.5cm]frame.west)
         {\includegraphics[scale=0.65]{bc-dodecaedre}};
      }
    }
  }
}

\newtcolorbox{mybox}[1][]{my box, #1}

\begin{document}
\begin{mybox}[title=Momentum Equation]
\[
{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V }
\]
\end{mybox}
\end{document}

现在将与森林整合定义

我认为需要对这本书进行一些研究——让我看看并回顾一下

编辑1

有森林

平均能量损失

\documentclass[fleqn]{article}
\usepackage{forest}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{tcolorbox}

\begin{document}
\begin{forest}
for tree= {math content,
          parent anchor=children,
          child anchor=parent,
          },
          before typesetting nodes={where n children=0{
                                                         no edge,
                                                         draw,
                                                         densely dotted,
                                                         content/.wrap value={\strut#1},
                                                         rounded corners,
                                                         replace by ={[,circle,fill,no edge,inner sep=0pt,minimum size=5pt,append]}  }{}
                                      }
[
{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}
[Total\ Derivative[,phantom]]
]
\end{forest}
\end{document}

整个方程式没有在编译输出中重现 - 只有一阶导数出现 - 有什么想法吗？ - 但能够得到方程下的标签部分 - 这让我很高兴

编辑2

我将整个方程式放在forest括号=中{}

前 -

{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}

后 -

{\rho\frac{D\vec V}{Dt}}{~=~}{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}

Answer

尝试结合数学+colortbl+森林

第一部分是让数学 + colortbl 发挥作用

我们得到了---

第一部分

\documentclass[fleqn]{article}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{tcolorbox}
\tcbuselibrary{skins}
\definecolor{boxTitle}{HTML}{fff79a}
\definecolor{boxBackground}{HTML}{fffce0}
\definecolor{boxFrame}{HTML}{f1e2b8}

\tcbset{my box/.style={
    enhanced, fonttitle=\bfseries,
    colback=boxBackground, colframe=boxFrame,
    coltitle=black, colbacktitle=boxTitle,
    attach boxed title to top left={xshift=0.3cm,
                                    yshift*=-\tcboxedtitleheight/2},
    boxed title style={
      before upper=\hspace*{0.5cm}, % reserve space for the image
      overlay={
       \node at ([xshift=0.5cm]frame.west)
         {\includegraphics[scale=0.65]{bc-dodecaedre}};
      }
    }
  }
}

\newtcolorbox{mybox}[1][]{my box, #1}

\begin{document}
\begin{mybox}[title=Momentum Equation]
\[
{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V }
\]
\end{mybox}
\end{document}

现在将与森林整合定义

我认为需要对这本书进行一些研究——让我看看并回顾一下

编辑1

有森林

平均能量损失

\documentclass[fleqn]{article}
\usepackage{forest}
\usepackage{amssymb}
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{tcolorbox}

\begin{document}
\begin{forest}
for tree= {math content,
          parent anchor=children,
          child anchor=parent,
          },
          before typesetting nodes={where n children=0{
                                                         no edge,
                                                         draw,
                                                         densely dotted,
                                                         content/.wrap value={\strut#1},
                                                         rounded corners,
                                                         replace by ={[,circle,fill,no edge,inner sep=0pt,minimum size=5pt,append]}  }{}
                                      }
[
{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}
[Total\ Derivative[,phantom]]
]
\end{forest}
\end{document}

整个方程式没有在编译输出中重现 - 只有一阶导数出现 - 有什么想法吗？ - 但能够得到方程下的标签部分 - 这让我很高兴

编辑2

我将整个方程式放在forest括号=中{}

前 -

{\rho\frac{D\vec V}{Dt}}~=~{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}

后 -

{\rho\frac{D\vec V}{Dt}}{~=~}{-\nabla p} + {\rho\vec g}+{\mu\nabla^2\vec V}

如何用指向箭头写出方程中每个术语的定义？

答案1

答案2

第一部分

编辑1

有森林

编辑2

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