Analysis of Step 3 - Revision history

Xonnainty at 03:47, 26 August 2020

2020-08-26T03:47:38Z

Xonnainty at 03:33, 26 August 2020

2020-08-26T03:33:47Z

Xonnainty at 03:31, 26 August 2020

2020-08-26T03:31:54Z

Xonnainty at 19:41, 25 August 2020

2020-08-25T19:41:25Z

Xonnainty at 19:37, 25 August 2020

2020-08-25T19:37:49Z

Xonnainty at 19:14, 25 August 2020

2020-08-25T19:14:33Z

Xonnainty at 14:40, 24 August 2020

2020-08-24T14:40:40Z

Xonnainty at 14:38, 24 August 2020

2020-08-24T14:38:19Z

Xonnainty at 14:32, 24 August 2020

2020-08-24T14:32:39Z

Xonnainty at 14:32, 24 August 2020

2020-08-24T14:32:04Z

@@ Line 10: / Line 10: @@
 The results that will be compared involve:
-. '''Velocity profiles''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the domain, as shown in Fig. 7;
+. '''Velocity profiles''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the domain;
 . '''Profiles''' of <math>H_2</math> and <math>O_2</math> '''mass fractions''' and '''profile of temperature''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the y-centerline of
-the domain, as illustrated in Figs. 8 and 9;
+the domain;
-. '''Evolution of maximal temperature''' in the domain vs. '''time''', as depicted in Fig. 10.
+. '''Evolution of maximal temperature''' in the domain vs. '''time'''.
-Looking at the results of '''velocity''' (Fig. 7) at time <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the computational domain,
+Looking at the results of '''velocity''' at time <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the computational domain,
 it is observed that the three codes deliver the same '''velocity profiles'''; the agreement is visually perfect.
 The results for the two main species '''mass fractions''' (<math>Y_{H2}</math>
 and <math>Y_{O2}</math>) are also in excellent agreement among the
-three participating codes, as it can be observed from Fig. 8.
+three participating codes.
 [[File:vx_x_3d_nonreacting.png|250px]]
@@ Line 30: / Line 30: @@
 '''Profile of mass fractions''' of <math>H_2</math> (left) and <math>O_2</math> (right) at <math>t = 2 \tau_{ref} ms</math>, <math>x = 0.5L</math>, and <math>z = 0.5L</math> for '''3-D non-reacting multi-species flow''' ('''Step 3''').
-Regarding temperature, Figure 9 shows along the centerline '''two peaks''' and '''one valley''', as expected. Very small
+[[File:T_y_nonreacting_withzoom.png|250px]]
-deviations are revealed in the inlaid enlargements shown in Fig. 9.
+[[File:tmax_nonreacting_3d_withzoom.png|250px]]
-Finally, the evolution with time of maximum temperature inside the computational domain is presented in Fig. 10.
 Here again, no differences are observed at all concerning this parameter.
 As a conclusion concerning this step, the three codes are able to reproduce numerically the behavior of a complex multi-species, non-isothermal flow with excellent agreement, and are thus strong candidates for high-fidelity
 simulations of turbulent flames, as considered in the next and final step.

@@ Line 15: / Line 15: @@
 the domain, as illustrated in Figs. 8 and 9;
-. '''Evolution of maximal temperature''' in the domain vs. time, as depicted in Fig. 10.
+. '''Evolution of maximal temperature''' in the domain vs. '''time''', as depicted in Fig. 10.
 Looking at the results of '''velocity''' (Fig. 7) at time <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the computational domain,

@@ Line 28: / Line 28: @@
 [[File:yo2_y_nonreacting.png|250px]]
-Profile of mass fractions of <math>H_2</math> (left) and <math>O_2</math> (right) at <math>t = 2 \tau_{ref} ms</math>, <math>x = 0.5L</math>, and <math>z = 0.5L</math> for '''3-D non-reacting multi-species flow''' ('''Step 3''').
+'''Profile of mass fractions''' of <math>H_2</math> (left) and <math>O_2</math> (right) at <math>t = 2 \tau_{ref} ms</math>, <math>x = 0.5L</math>, and <math>z = 0.5L</math> for '''3-D non-reacting multi-species flow''' ('''Step 3''').
 Regarding temperature, Figure 9 shows along the centerline '''two peaks''' and '''one valley''', as expected. Very small

@@ Line 23: / Line 23: @@
 three participating codes, as it can be observed from Fig. 8.
-[[File:vx_x_3d_nonreacting.png]]
+[[File:vx_x_3d_nonreacting.png|250px]]
-[[File:vy_y_3d_nonreacting.png]]
+[[File:vy_y_3d_nonreacting.png|250px]]
-[[File:yh2_y_nonreacting.png]]
+[[File:yh2_y_nonreacting.png|250px]]
-[[File:yo2_y_nonreacting.png]]
+[[File:yo2_y_nonreacting.png|250px]]
 Profile of mass fractions of <math>H_2</math> (left) and <math>O_2</math> (right) at <math>t = 2 \tau_{ref} ms</math>, <math>x = 0.5L</math>, and <math>z = 0.5L</math> for '''3-D non-reacting multi-species flow''' ('''Step 3''').

@@ Line 12: / Line 12: @@
 . '''Velocity profiles''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the centerlines of the domain, as shown in Fig. 7;
-. Profiles of <math>H_2</math> and <math>O_2</math> '''mass fractions''' and '''profile of temperature''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the y-centerline of
+. '''Profiles''' of <math>H_2</math> and <math>O_2</math> '''mass fractions''' and '''profile of temperature''' at <math>t = 2 \tau_{ref} = 0.5 ms</math> along the y-centerline of
 the domain, as illustrated in Figs. 8 and 9;

@@ Line 2: / Line 2: @@
 taken into account in an inhomogeneous environment'''. Neither analytical nor reference solution are available for this
 configuration, so that only comparisons between the three codes involved in the benchmark are possible.
-Compared to '''Step 2''', the presence of '''high-temperature regions''' additionally modifies the '''evolution''' of the TGV
+Compared to '''Step 2''', the presence of '''high-temperature regions''' additionally modifies the '''evolution''' of the '''TGV'''
 with time, '''turbulence''' being locally damped due to '''dilatation''' and '''higher viscosities'''. As a consequence, the needed
 resolution for this case is less than in '''Step 2''': '''YALES2''' and '''DINO''' used only 256 grid points in each direction while