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Show the Divergence as a Background Density
Use the divergence for the background density.
In[1]:=

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div[x_, y_] = D[Cos[x + y^3], x] + D[Sin[y + x^3], y];
In[2]:=

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StreamDensityPlot[{{Cos[x + y^3], Sin[y + x^3]}, div[x, y]}, {x, -2, 

  2}, {y, 0, 2}, StreamPoints -> Fine, ColorFunction -> "MintColors", 

 MaxRecursion -> 2, StreamStyle -> Black, ImageSize -> Large]
Out[2]=