Step 2 - Revision history

Coria: /* Step 2 Description */

2020-08-24T20:40:36Z

‎Step 2 Description

Coria: /* Step 2 Description */

2020-08-24T19:14:57Z

‎Step 2 Description

Xonnainty: /* References */

2020-08-23T19:51:01Z

‎References

Xonnainty: /* Step 2 Description */

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‎Step 2 Description

Xonnainty: /* References */

2020-08-23T19:46:44Z

‎References

Xonnainty: /* Step 2 Description */

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‎Step 2 Description

Xonnainty: /* Step 2 Description */

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‎Step 2 Description

Xonnainty at 19:21, 23 August 2020

2020-08-23T19:21:18Z

Xonnainty at 19:19, 23 August 2020

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Xonnainty at 19:18, 23 August 2020

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@@ Line 8: / Line 8: @@
 The initial conditions for 3-D TGV are given by the following set of equations:
-<math>u(x,y,z,0) = +u_0 \times \sin(x/L_0) \times \cos(y/L_0) \times \cos(z/L_0)</math> (1)
+'''(Eq. 1)''' <math>u(x,y,z,0) = +u_0 \times \sin(x/L_0) \times \cos(y/L_0) \times \cos(z/L_0)</math>
-<math>v(x,y,z,0) = -u_0 \times \cos(x/L_0) \times \sin(y/L_0) \times \cos(z/L_0)</math> (2)
+'''(Eq. 2)''' <math>v(x,y,z,0) = -u_0 \times \cos(x/L_0) \times \sin(y/L_0) \times \cos(z/L_0)</math>
-<math> w(x,y,z,0) = 0</math> (3)
+'''(Eq. 3)''' <math> w(x,y,z,0) = 0</math>
 The reference velocity magnitude is set again to <math>u_0 = 1 \; \mathrm{m/s}</math>.
@@ Line 26: / Line 26: @@
 This values are actually quite conservative since the focus of this study is set on accuracy comparisons and not on pure computational performance.
-'''2D Large-Eddy Simulation''', injection of a '''premixed kerosene/air mixture''' on the left with a high level of turbulence.
+The image below gives an indication of the initial fields of the velocity components and of the vorticity obtained thanks to the '''(Eq. 1)''', '''(Eq. 2)''' and '''(Eq. 3)'''.
-Some kerosene droplets are added to this premixing.
-−
-On the other hand, considering that implementing advanced models for fluid viscosity and thermal conductivity is not difficult and does not increase the computational time significantly, local values of these quantities depending on composition and temperature should be taken into account.
 [[File:fields_step2.png|400px|fields step 2]]
-You can observe above the initial fields of the velocity components and of the vorticity. Those fields are decribed thanks to the equations (1), (2) and (2).
 <div class="infobox" style="width: 700px;">
@@ Line 40: / Line 38: @@
 |}
 </div>
 = Aside Suggestion =

@@ Line 8: / Line 8: @@
 The initial conditions for 3-D TGV are given by the following set of equations:
-<math>u(x,y,z,0) = +u_0 \times sin(x/L_0) \times cos(y/L_0) \times cos(z/L_0)</math> (1)
+<math>u(x,y,z,0) = +u_0 \times \sin(x/L_0) \times \cos(y/L_0) \times \cos(z/L_0)</math> (1)
 <math>v(x,y,z,0) = -u_0 \times \cos(x/L_0) \times \sin(y/L_0) \times \cos(z/L_0)</math> (2)

← Older revision		Revision as of 19:51, 23 August 2020
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	= References =		= References =
−
−	* van Rees WM, Leonard A, Pullin D, Koumoutsakos P. A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high reynolds numbers. J Comput Phys. 2011;230(8):2794-2805.
−	* Carton de Wiart C, Hillewaert K, Duponcheel M, Winckelmans G. Assessment of a discontinuous galerkin method for the simulation of vortical flows at high reynolds number. Int J Numer Meth Fluids. 2014;74(7):469-493.
−	* Duponcheel M, Orlandi P, Winckelmans G. Time-reversibility of the euler equations as a benchmark for energy conserving schemes. J Comput Phys. 2008;227(19):8736-8752.
−	* Bricteux, L, Zeoli, S, Bourgeois, N. Validation and scalability of an open source parallel flow solver. Concurrency Computat: Pract Exper. 2017; 29:e4330. https://doi.org/10.1002/cpe.4330

	<references>		<references>

@@ Line 2: / Line 2: @@
 The next step in the benchmark is to simulate the '''Taylor-Green Vortex configuration in 3-D''', still for a '''single-component incompressible flow'''.
-For this configuration, a reference solution obtained with a pseudo-spectral solver is available in the scientific literature<ref name="vanrees2011">W.M. van Rees, A. Leonard, D.I. Pullin, and P. Koumoutsakos. A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers. J. Comput. Phys., 230:2794–2805, 2011.</ref> and can be used for validation by a direct comparison.
+For this configuration, a reference solution obtained with a pseudo-spectral solver is available in the scientific literature<ref name="vanrees2011"/> and can be used for validation by a direct comparison.
 The domain size has been set to <math>L = 2 \pi L_0</math> in each direction, where <math>L_0 = 1\; \mathrm{m}</math> is an arbitrarily-chosen reference length scale for dimensional codes. As in the previous section, periodic boundary conditions are used in all three spatial directions.

← Older revision		Revision as of 19:46, 23 August 2020
Line 55:		Line 55:
	* Duponcheel M, Orlandi P, Winckelmans G. Time-reversibility of the euler equations as a benchmark for energy conserving schemes. J Comput Phys. 2008;227(19):8736-8752.		* Duponcheel M, Orlandi P, Winckelmans G. Time-reversibility of the euler equations as a benchmark for energy conserving schemes. J Comput Phys. 2008;227(19):8736-8752.
	* Bricteux, L, Zeoli, S, Bourgeois, N. Validation and scalability of an open source parallel flow solver. Concurrency Computat: Pract Exper. 2017; 29:e4330. https://doi.org/10.1002/cpe.4330		* Bricteux, L, Zeoli, S, Bourgeois, N. Validation and scalability of an open source parallel flow solver. Concurrency Computat: Pract Exper. 2017; 29:e4330. https://doi.org/10.1002/cpe.4330
		+
		+	<references>
		+	<ref name="vanrees2011">
		+	<bibtex>
		+	@article{Vanrees2011,
		+	author= {W.M. van Rees, A. Leonard, D.I. Pullin, and P. Koumoutsakos},
		+	title= {A comparison of vortex and pseudo-spectral
		+	methods for the simulation of periodic vortical flows at high Reynolds numbers.},
		+	journal={J. Comput. Phys.},
		+	year= {2011},
		+	volume={230},
		+	pages={2794--2805},
		+	}
		+	</bibtex>
		+	</ref>
		+	</references>

@@ Line 30: / Line 30: @@
 On the other hand, considering that implementing advanced models for fluid viscosity and thermal conductivity is not difficult and does not increase the computational time significantly, local values of these quantities depending on composition and temperature should be taken into account.
 [[File:fields_step2.png|400px|fields step 2]]
 <div class="infobox" style="width: 700px;">
-{| class="floatright" style="border: 1px solid #ccc; margin: 1px;"
+{| class="floatright" style="border: 1px solid #ccc; margin: 50px;"
 |{{#widget:YouTube|id=k7JRrvBOSSY|width=600|height=500}}
 |}