pgfplots 或 tikz 曲线轴/曲面用于矢量场

Question

我想在 latex 中绘制一个 2D 向量平面。本质上是以下两幅图的组合。我可以用 和 绘制第一幅图\path，\draw用 绘制第二幅图quiver。但是，我似乎无法同时完成这两项工作。我该怎么做呢？

图片 1

\begin{tikzpicture}

\draw[black,shorten >= 3pt,shorten <= 3pt] 
  (0,0) to[out=-10,in=150] (6,-2) -- (12,1) to[out=150,in=-10] (5.5,3.7) -- cycle;
  (0,0) to[out=-10,in=150] (6,-2) -- (12,1) to[out=150,in=-10] (5.5,3.7) -- cycle;
\end{tikzpicture}

图片 2

\begin{tikzpicture}
\begin{axis}[
    xmin = -4, xmax = 4,
    ymin = -4, ymax = 4,
    zmin = 0, zmax = 1,
    axis equal image,
    xtick distance = 1,
    ytick distance = 1,
    view = {20}{90},
    scale = 1.25,
]
 
\addplot3[
    quiver = {
        u = {sin y},
        v = {sin x},
        scale arrows = 0.05,
    },
    quiver/colored = {blue},
    -stealth,
    domain = -4:4,
    domain y = -4:4,
] {0};
\end{axis}
\end{tikzpicture}