st-wslda-examples.md

+# Example 1: gas confined in a tube
+The solution of cold atomic gas in an external potential of the form of a tube. Gas with is in BCS regime with $`ak_F=-0.9`$. In the calculation, we assumed translation symmetry along z direction and `st-wslda-2d` was used. In the computation, `double` arithmetic is utilized.
+* [predefines.h](uploads/b0f9c475f5dbd44640310b713ecb5ea5/tube_predefines.h)
+* [problem-definition.h](uploads/cd9da4754c87bf4eabe4977246ba534b/tube_problem-definition.h)
+* [input.txt](uploads/df292f7036ca8ffd86d4986cb40c1449/tube_input.txt)
+* [output](uploads/799f6e104160a09fe4bf542d989cedcf/tube.out)
+
+The graph below shows density distribution (left) and the absolute value of delta (right) for the converged solution. 
+
+![example-st-1](uploads/b8a8ec63f10ec99c2573207580e7ad32/example-st-1.png)
+
+# Example 2: vortex solution within BdG
+The solution representing a vortex confined in a tube. The conditions are the same as for *Example 1*. To speed up the convergence process we start from the state provided by *Example 1*. In the computation, `double complex` arithmetic is utilized.
+* [predefines.h](uploads/0a1ad93743c8f9544e59338ba8220563/vortex_predefines.h)
+* [problem-definition.h](uploads/215195b78623a61bc1f4df47c27e5d7a/vortex_problem-definition.h)
+* [input.txt](uploads/1e340d91f45dc57900152866a9a956ef/vortex_input.txt)
+* [output](uploads/633a07650caee1345b0a1fbdd9513d51/vortex.out)
+
+The graph below shows density distribution (left) and the absolute value of delta (right) for the converged solution. By arrows currents are plotted. 
+![example-st-2](uploads/f896b92eeaa489872600109615ef066b/example-st-2.png)
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