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source/3_numerical.rst

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As for your reference, and configured as defaults, the *Berkeley LCS Tutorials* used ``RK4`` for advection.
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The velocity fields were interpolated with ``tricubic-FL`` by them, originating from [Lekien2005]_, which has higher performance by solving a 64*64 linear system using the function values, gradients, and mixed partial derivatives at its eight corners, which is in future development plan for ``Py3DFTLE`` with high priority.
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The velocity fields were interpolated with ``tricubic-FL`` by them, originating from [Lekien2005]_, which has higher performance by solving a 64×64 linear system using the function values, gradients, and mixed partial derivatives at its eight corners, which is in future development plan for ``Py3DFTLE`` with high priority.
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Although not detailed, ``grad_order=2`` was employed by them from the equation, supposing the mesh is sufficiently refined.
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Please always notice that, although providing much better numerical precision and looks cool in papers, high-order methods could be resource-consuming, even several hundred times.

source/6_inputdeck.rst

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| | | ``jacobi`` | ``I.P.`` Jacobi eigenvalue algorithm (iterative). |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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As for your reference, and configured as defaults, the *Berkeley LCS Tutorials* used ``RK4`` for advection.
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The velocity fields were interpolated with ``tricubic-FL`` by them, originating from [Lekien2005]_, which has higher performance by solving a 64*64 linear system using the function values, gradients, and mixed partial derivatives at its eight corners, which is in future development plan for ``Py3DFTLE`` with high priority.
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Although not detailed, ``grad_order=2`` was employed by them from the equation, supposing the mesh is sufficiently refined.
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Please always notice that, although providing much better numerical precision and looks cool in papers, high-order methods could be resource-consuming, even several hundred times.
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Dynamic LCS Window
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---------------------------------
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| ``if_visual`` | Glace visualization enabler | ``0`` / ``1`` | Take a pop-up glance on FTLE coutours after computation for check with a rudimentary appearance. |
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+-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
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.. _flow_vars:
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Flow So

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