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Numerical Methods
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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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| ``if_backward`` | Backward integration flag | ``0`` | Only compute forward advection. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | (``1``) | Compute in both side. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``wall_treatment``| Wall-treatment strategy | (``clamp``) | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``dirichlet`` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``reflect``` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``periodic``` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``advc_method`` | Lagrangian advection scheme | (``Euler``) | Simple and fast Euler stepping with |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK2`` | Runge–Kutta 2 with :math:`\max_{0 \le n \le N} \lvert y(t_n) - y_n \rvert = O(h^1)` |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK4``` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| | | ``RK6``` | |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``interp_method`` | Interpolation method | ``<string>`` | NA |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``grad_order`` | Gradient approximation scheme | ``<int>`` | NA |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``Eigen_method`` | Eigenvalue computation method | ``<string>`` | NA |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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| ``if_visual`` | Glace visualization enabler | ``0`` or ``1`` | Take a pop-up glance on the results after computation for check with a rudimentary appearance. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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.. table:: Numerical methods in the input deck ``.par`` file.
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=============================================== ============================== ==================== ====================================================================================================
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Key Description Value(s) Explanation
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=============================================== ============================== ==================== ====================================================================================================
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``if_backward`` Backward integration flag ``0`` Only compute forward advection.
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(continued) (``1``) Compute in both side.
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``wall_treatment`` Wall-treatment strategy (``clamp``)
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(continued) ``dirichlet``
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(continued) ``reflect``
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(continued) ``periodic``
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``advc_method`` Lagrangian advection scheme (``Euler``) Simple and fast Euler stepping with
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(continued) ``RK2`` Runge–Kutta 2 with :math:`O(h^3)` error.
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(continued) ``RK4`` Runge–Kutta 4 with :math:`O(h^4)` error
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(continued) ``RK6``
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``interp_method`` Interpolation method ``<string>``
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``grad_order`` Gradient approximation scheme ``<int>``
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``Eigen_method`` Eigenvalue computation method ``<string>``
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``if_visual`` Glace visualization enabler ``0`` or ``1`` Take a pop-up glance on the results after computation for check with a rudimentary appearance.
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=============================================== ============================== ==================== ====================================================================================================
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Dynamic LCS Window
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