deploy: 5581443

Author: hweifluids

.doctrees/6_inputdeck.doctree

@@ -286,9 +286,9 @@ <h2>Numerical Methods<a class="headerlink" href="#numerical-methods" title="Link
 </tbody>
 </table>
 <p>As for your reference, and configured as defaults, the <em>Berkeley LCS Tutorials</em> used <code class="docutils literal notranslate"><span class="pre">RK4</span></code> for advection.
-The velocity fields were interpolated by <code class="docutils literal notranslate"><span class="pre">tricubic-FL</span></code>, originating from <span id="id2">[Lekien2005]</span>, 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 plan for <code class="docutils literal notranslate"><span class="pre">Py3DFTLE</span></code> with high priority.
-Although not detailed, <code class="docutils literal notranslate"><span class="pre">grad_order=2</span></code> was employed by them from the equation, supposing the mesh is sufficiently refined.
-Please always notice that, although providing much better numerical precision and looks cool in papers, high-order methods could be resource-consuming, even hundreds of times.</p>
+The velocity fields were interpolated with <code class="docutils literal notranslate"><span class="pre">tricubic-FL</span></code> by them, originating from <span id="id2">[Lekien2005]</span>, 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 <code class="docutils literal notranslate"><span class="pre">Py3DFTLE</span></code> with high priority.
+Although not detailed, <code class="docutils literal notranslate"><span class="pre">grad_order=2</span></code> was employed by them from the equation, supposing the mesh is sufficiently refined.</p>
+<p>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.</p>
 </section>
 <section id="dynamic-lcs-window">
 <h2>Dynamic LCS Window<a class="headerlink" href="#dynamic-lcs-window" title="Link to this heading"></a></h2>

.doctrees/environment.pickle

@@ -87,9 +87,10 @@ Numerical Methods
 +-------------------+------------------------------------------------------+-------------------------+---------------------------------------------------------------------------------------------------------+
 
 As for your reference, and configured as defaults, the *Berkeley LCS Tutorials* used ``RK4`` for advection.
-The velocity fields were interpolated by ``tricubic-FL``, 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 plan for ``Py3DFTLE`` with high priority.
+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.
 Although not detailed, ``grad_order=2`` was employed by them from the equation, supposing the mesh is sufficiently refined.
-Please always notice that, although providing much better numerical precision and looks cool in papers, high-order methods could be resource-consuming, even hundreds of times.
+
+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.
 
 Dynamic LCS Window
 ---------------------------------