"$CellNumber" 修訂間的差異

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(未顯示同一使用者於中間所作的 7 次修訂)
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''N<sub>z</sub>'' <font color=green>// where ''N<sub>x</sub>'', ''N<sub>y</sub>'', ''N<sub>z</sub>'' are integers.</font>
 
''N<sub>z</sub>'' <font color=green>// where ''N<sub>x</sub>'', ''N<sub>y</sub>'', ''N<sub>z</sub>'' are integers.</font>
   
<font size=3>This defines the total number of nodes in ''x'', ''y'', and ''z'' directions. Note that this function is not include the layer of PML. As a result, the total number of nodes in simulation may '''NOT''' be <math>\begin{smallmatrix}{N_x \times N_y\times N_z}\end{smallmatrix}</math>.</font>
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<font size=3>This defines the number of nodes in ''x'', ''y'', and ''z'' directions without the layer of PML. That is, the total number of nodes in simulation may '''NOT''' be <math>\begin{smallmatrix}{N_x \times N_y\times N_z}\end{smallmatrix}</math>.</font><br><br>
   
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<font size=3 color=red>'''NOTE 1'''<font color=black>: The priority of this function is below the function -- [[$Deltaxyz]], ''i.e.'', the program abandons [[$CellNumber]] while using [[$Deltaxyz]].</font><br>
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'''NOTE 2'''<font color=black>: Since the position of the last point would not be beyond the boundary we set in [[$SpaceRegion]], the mesh size may be different with what we think on intuition. For instance, if Nx=101 and x is from 0~100e-9 (m), so dx = 100e-9/(101-1'''+0.5''') ~9.95e-10 (m). (due to the equivalent array size in 6 field.)
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</font></font>
   
 
=='''Example'''==
 
=='''Example'''==
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201
 
201
   
Thus, there is 201 nodes in ''x'' direction, so as the number of nodes are in ''y'' and ''z'' direction.
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Thus, without PML, there is 201 nodes in ''x'' direction, so as the number of nodes are in ''y'' and ''z'' direction.
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== '''Related commands''' ==
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: [[$SpaceRegion]], [[$CellNumber]], [[$Deltaxyz]]

於 2018年10月12日 (五) 10:17 的最新修訂

Format

$CellNumber
 Nx
 Ny
 Nz                // where Nx, Ny, Nz are integers.

This defines the number of nodes in x, y, and z directions without the layer of PML. That is, the total number of nodes in simulation may NOT be \begin{smallmatrix}{N_x \times N_y\times N_z}\end{smallmatrix}.

NOTE 1: The priority of this function is below the function -- $Deltaxyz, i.e., the program abandons $CellNumber while using $Deltaxyz.
NOTE 2: Since the position of the last point would not be beyond the boundary we set in $SpaceRegion, the mesh size may be different with what we think on intuition. For instance, if Nx=101 and x is from 0~100e-9 (m), so dx = 100e-9/(101-1+0.5) ~9.95e-10 (m). (due to the equivalent array size in 6 field.)

Example

$CellNumber
 201
 201
 201

Thus, without PML, there is 201 nodes in x direction, so as the number of nodes are in y and z direction.

Related commands

$SpaceRegion, $CellNumber, $Deltaxyz