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‎source/3_numerical.rst‎

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.. _numerical:
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Numerical Methods
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==================
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===================
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Computational Density and Comparison
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==========================================

‎source/6_inputdeck.rst‎

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Input and Range Control
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---------------------------------
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| Key | Description | Value(s) | Explaination |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK2`` | Runge–Kutta 2 with :math:`O(h^3)` error. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK4`` | Runge–Kutta 4 with :math:`O(h^4)` error |
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| | | ``RK4`` | Runge–Kutta 4 with :math:`O(h^4)` error. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK6`` | Runge–Kutta 6 with :math:`O(h^6)` error. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``interp_method`` | Interpolation method | ``trilinear`` | NA |
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| | | ``RK6`` | |
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| | | ``tricubic`` | |
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| ``interp_method`` | Interpolation method | ``<string>`` | NA |
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| | | ``hermite`` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``reflect`` | |
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| ``grad_order`` | Gradient approximation scheme | ``<int>`` | NA |
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| ``grad_order`` | The method (order) of gradient discretization | ``2`` | 2nd-order central difference. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``4`` | 4th-order central difference. |
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| | | ``6`` | 6th-order central difference. |
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| | | ``100`` | |
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| ``Eigen_method`` | Eigenvalue computation method | ``<string>`` | NA |
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Dynamic LCS Window
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---------------------------------
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| Key | Description | Value(s) | Explaination |
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+===================+======================================================+=========================+=========================================================================================================+
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| ``dyn_mode`` | Dynamic LCS mode selector | (``0``) | Treat this input as a steady whole. See :ref:`steady`. |
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| ``dyn_mode`` | Dynamic LCS mode selector | (``0``) | Treat this input as a steady whole, generating still results. See :ref:`steady`. |
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| | | ``1`` | Dynamic LCS computation. See :ref:`unsteady`. |
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| | | ``1`` | Dynamic LCS computation based on sliding window. See :ref:`unsteady`. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``win_size`` | Window size for dynamic LCS | ``<float>`` | The window size in frames for each batch of computation. Available under ``dyn_mode=1``. |
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