Analysis of Step 1 - Revision history

Abdelsamie at 14:39, 1 October 2020

2020-10-01T14:39:40Z

2020-08-26T13:30:32Z

2020-08-26T03:24:05Z

2020-08-25T19:21:45Z

2020-08-25T19:21:15Z

2020-08-25T19:17:22Z

2020-08-24T14:22:16Z

2020-08-24T13:31:07Z

2020-08-24T13:25:53Z

2020-08-24T12:59:00Z

‎References

@@ Line 19: / Line 19: @@
   |-
   ! scope="row" | <math>V_{max}</math>
-  | 0.987271
+  | 0.9875778
   | 0.987583
   | 0.987565
-  | ????
+  | 0.9875785
   |-
   ! scope="row" | <math>\epsilon_{rel}</math>
   | 0 [Ref]
-  | 0.03%
+  | <math>5.3·10^{-4}%</math>
-  | 0.03%
+  | <math>1.3·10^{-3}%</math>
-  | -
+  | <math>7.1·10^{-5}%</math>
   |}

@@ Line 1: / Line 1: @@
 The verification involves a direct comparison with the analytical solution. For this purpose, analytic fields for
-'''velocity''' (x- and y-components) and '''vorticity''' <math>(\delta_xv - \delta_yu)</math> at <math>t=10 \tau_{ref}</math> are presented in Fig. 3. It should be noted
+'''velocity''' (x- and y-components) and '''vorticity''' <math>(\partial_x v - \partial_y u)</math> at <math>t=10 \tau_{ref}</math> are presented in Fig. 3. It should be noted
 that both '''YALES2''' and '''DINO''' used 642 '''grid points''' for this test case, while '''Nek5000''' employed 82
 '''spectral elements of order 8''', which results in 64 '''discretization points''' in each direction. The velocity profiles along both centerlines of

@@ Line 43: / Line 43: @@
 [[File:vx_2d.png|250px]]
 [[File:vy_2d.png|250px]]
 = References =

@@ Line 42: / Line 42: @@
 [[File:vx_2d.png|250px]]
-[[File:vy_2d.png]]
+[[File:vy_2d.png|250px]]
 = References =

@@ Line 41: / Line 41: @@
 You can see on the figures above the analytic fields of x-velocity, y-velocity, and vorticity, respectively (from left to right), at <math>t = 10 \tau_{ref}</math> for '''Step 1''' (verification step).
-[[File:vx_2d.png]]
+[[File:vx_2d.png|250px]]
 [[File:vy_2d.png]]

@@ Line 41: / Line 41: @@
 You can see on the figures above the analytic fields of x-velocity, y-velocity, and vorticity, respectively (from left to right), at <math>t = 10 \tau_{ref}</math> for '''Step 1''' (verification step).
-[[File:vx_2d.pdf|250px|alt text]]
+[[File:vx_2d.pdf]]
-[[File:vy_2d.pdf|250px|alt text]]
+[[File:vy_2d.pdf]]
 = References =

← Older revision		Revision as of 13:31, 24 August 2020
Line 40:		Line 40:

	You can see on the figures above the analytic fields of x-velocity, y-velocity, and vorticity, respectively (from left to right), at <math>t = 10 \tau_{ref}</math> for '''Step 1''' (verification step).		You can see on the figures above the analytic fields of x-velocity, y-velocity, and vorticity, respectively (from left to right), at <math>t = 10 \tau_{ref}</math> for '''Step 1''' (verification step).
		+
		+	[[File:vx_2d.pdf\|250px\|alt text]]
		+	[[File:vy_2d.pdf\|250px\|alt text]]

	= References =		= References =

@@ Line 37: / Line 37: @@
 = References =
- <references>
 <ref name="abelsamie2016">
 <bibtex>