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POpython: How to plot 2D discontinuous node-centered data?
 

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  1. POpython: How to plot 2D discontinuous node-centered data?
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    <p>I have a two dimensional data and two dimensional mesh of quadrilaterals describing a domain subdivided into patches. The data is defined at each mesh node. Discontinuities in the data exist at patch boundaries, i.e. data is multiply defined at the same location.</p> <p><strong>How can I use Python to plot this data with linear interpolation in-between nodes and correct representation of the discontinuous values along each patch face?</strong></p> <p>Below are three example elements or patches, each with six node values each.</p> <p><img src="https://i.stack.imgur.com/6uTTx.png" alt="Figure of three example elements or patches, with six node values each."></p> <p>Node position and value data might be stored in <code>[Kx3x2]</code> array, where K is the number of elements. For example,</p> <pre><code>x = np.array( [ [ [0.0, 1.0], [0.0, 1.0], [0.0, 1.0] ], #element 0 [ [1.0, 2.0], [1.0, 2.0], [1.0, 2.0] ], #element 1 [ [2.0, 3.0], [2.0, 3.0], [2.0, 3.0] ], #element 2 ] ) y = np.array( [ [ [0.0, 0.0], [0.5, 0.5], [1.0, 1.0] ], #element 0 [ [0.0, 1.0], [0.5, 1.5], [1.0, 2.0] ], #element 1 [ [1.0, 1.0], [1.5, 1.5], [2.0, 2.0] ], #element 2 ] ) z = np.array( [ [ [0.0, 0.5], [0.0, 0.8], [0.0, 1.0] ], #element 0 [ [0.3, 1.0], [0.6, 1.2], [0.8, 1.3] ], #element 1 [ [1.2, 1.5], [1.3, 1.4], [1.5, 1.7] ], #element 2 ] ) </code></pre> <p>I have considered <code>pyplot.imshow()</code>. This is not able consider the whole domain all at once and still represent the multiply-valued discontinuous nodes. It might work to call <code>imshow()</code> separately for each patch. But, how would I draw each patch image on the same axis? <code>imshow()</code> is also problematic for non-rectangular patches, which is my general case.</p> <p>I have considered <code>pyplot.pcolormesh()</code>, but it seems to work exclusively with cell-centered data.</p>
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    1. COCould you do something like `imshow`ing your data as an RGBA array, with the alpha channel set to 0 wherever your data is underfined?
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