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docs/zh/examples/darcy2d.md

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## 2. 问题定义
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假设达西流模型中,每个位置 $(x,y)$ 上的流速 $\bold{u}$ 和压力 $p$ 之间满足以下关系式:
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假设达西流模型中,每个位置 $(x,y)$ 上的流速 $\mathbf{u}$ 和压力 $p$ 之间满足以下关系式:
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$$
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\begin{cases}
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\begin{aligned}
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\bold{u}+\nabla p =& 0,(x,y)\in (0,1)\times (0,1) \\
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\nabla \cdot \bold{u} =& f,(x,y)\in (0,1)\times (0,1) \\
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\mathbf{u}+\nabla p =& 0,(x,y)\in (0,1)\times (0,1) \\
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\nabla \cdot \mathbf{u} =& f,(x,y)\in (0,1)\times (0,1) \\
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p(x,y) =& \sin(2 \pi x )\cos(2 \pi y), x=1 \lor y=1
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\end{aligned}
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\end{cases}
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``` py linenums="30"
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examples/darcy/darcy2d_v2.py:30:31
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examples/darcy/darcy2d.py:30:31
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```
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``` py linenums="33"
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```
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``` py linenums="36"
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```
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``` py linenums="39"
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```
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``` py linenums="52"
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```
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``` py linenums="70"
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```
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``` py linenums="127"
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```
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``` py linenums="130"
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```
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``` py linenums="133"
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```
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``` py linenums="152"
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```
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``` py linenums="164"
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```
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## 4. 完整代码
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``` py linenums="1" title="darcy2d_v2.py"
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``` py linenums="1" title="darcy2d.py"
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examples/darcy/darcy2d_v2.py
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examples/darcy/darcy2d.py
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```
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## 5. 结果展示
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<figure markdown>
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![darcy 2d](../../images/darcy2d/darcy2d.png){ loading=lazy }
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<figcaption>模型预测结果</figcaption>
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<figcaption>模型预测压力 p</figcaption>
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</figure>

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