Step 1 - Revision history

Xonnainty: /* References */

2020-08-25T13:41:23Z

‎References

Xonnainty: /* Aside suggestions */

2020-08-19T18:20:47Z

‎Aside suggestions

Xonnainty: /* Step 1 Description */

2020-08-19T18:19:56Z

‎Step 1 Description

Xonnainty: /* Step 1 Description */

2020-08-19T18:18:59Z

‎Step 1 Description

Xonnainty: /* Step 1 Description */

2020-08-12T17:45:02Z

‎Step 1 Description

Lartigue: /* Notes */

2020-07-27T14:00:36Z

‎Notes

Lartigue at 05:05, 27 July 2020

2020-07-27T05:05:23Z

Lartigue at 04:45, 27 July 2020

2020-07-27T04:45:44Z

Lartigue: /* Step 1 Description */

2020-07-27T04:42:58Z

‎Step 1 Description

Lartigue: /* Step 1 Description */

2020-07-27T04:42:31Z

‎Step 1 Description

@@ Line 52: / Line 52: @@
 = References =
 <references>
 <ref name="abelsamie2016">

@@ Line 49: / Line 49: @@
 This step should clearly not be a big issue for any code.
-However, it is a good way to verify the orders of convergence (both in space and time), to check any stability issues, to measure the influence of the convergence criteria of iterative solvers (if any), etc...
+However, it is a good way to verify the orders of '''convergence''' (both in space and time), to check any '''stability issues''', to measure the influence of the convergence criteria of iterative solvers (if any), etc...
 = References =

@@ Line 21: / Line 21: @@
 with <math>u_0 = 1 \; \mathrm{m/s}</math>.
 The flow is thus initially composed of four vortices, one in each quarter of the box.
-The vortex turnover time is defined as <math>\tau_\mathrm{ref} = L_0/u_0 = 1\;\mathrm{s}</math>.
+The flow is thus initially composed of '''four vortices''', one in each quarter of the box.
 For non-dimensional codes, the relevant parameter for this simulation is the vortex Reynolds number, <math>Re=u_0 L_0/\nu = 1,600</math> in the present setup.
 It should be noted that the theoretical solution is only stable for sufficiently small Reynolds numbers, explaining why the particular value <math>Re=1,600</math> has been chosen here, as done in many previous studies using the TGV configuration.

@@ Line 1: / Line 1: @@
 = Step 1 Description =
-The 2-D TGV test case has been already well documented in the scientific literature, e.g. <ref name="abelsamie2016"/><ref name="Laizet2009"/>.
+The '''2-D TGV''' test case has been already well documented in the scientific literature, e.g. <ref name="abelsamie2016"/><ref name="Laizet2009"/>.
 Therefore, only a brief description is given here.
 This configuration is used as verification step, since an analytic solution exists<ref name="Taylor1937"/>.
-An incompressible flow with constant density and viscosity is simulated.
+An '''incompressible flow''' with constant density and viscosity is simulated.
 The fluid is contained in a square box of dimension <math>[0;L]^2</math> with periodic boundary conditions in both directions.

@@ Line 35: / Line 35: @@
 v(x,y,t) = v(x,y,0) \times \mathrm{e}^{-2\nu t/L_0^2} = v(x,y,0) \times \mathrm{e}^{-2 \, (t/\tau_{\mathrm{ref}}) / \mathrm{Re}} \,.
 </math>
 All physical conditions are now completely defined and only numerical parameters remain to be set.

@@ Line 1: / Line 1: @@
 = Step 1 Description =
-The 2-D TGV test case has been already well documented in the scientific literature, e.g. <ref name="abelsamie2016" /><ref name="Laizet2009"/>.
+The 2-D TGV test case has been already well documented in the scientific literature, e.g. <ref name="abelsamie2016"/><ref name="Laizet2009"/>.
 Therefore, only a brief description is given here.
-This configuration is used as verification step, since an analytic solution exists~\cite{Taylor1937}.
+This configuration is used as verification step, since an analytic solution exists<ref name="Taylor1937"/>.
 An incompressible flow with constant density and viscosity is simulated.
@@ Line 26: / Line 26: @@
 It should be noted that the theoretical solution is only stable for sufficiently small Reynolds numbers, explaining why the particular value <math>Re=1,600</math> has been chosen here, as done in many previous studies using the TGV configuration.
-A major interest of this test-case is that an analytical solution has been derived for such conditions~\cite{Taylor1937}:
+A major interest of this test-case is that an analytical solution has been derived for such conditions<ref name="Taylor1937"/>:
 <math>
@@ Line 47: / Line 47: @@
 = Notes =
 <references>
-<ref name="abelsamie2016">A. Abdelsamie and G. Fru and F. Dietzsch and G. Janiga and D. Thévenin , ''Towards direct numerical simulations of low-Mach number turbulent reacting and two-phase flows using immersed boundaries'', '''Comput. Fluids''', 2016 (131-5, pp123--141)</ref>.
+<ref name="abelsamie2016">
-<ref name="Laizet2009">S. Laizet and E. Lamballais , ''High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy'', '''J. Comput. Phys.''', 2009 (228, pp5989--6015)</ref>.
+<bibtex>
 </references>

← Older revision		Revision as of 04:45, 27 July 2020
Line 41:		Line 41:

	= Aside suggestions =		= Aside suggestions =
		+
		+	This step should clearly not be a big issue for any code.
		+	However, it is a good way to verify the orders of convergence (both in space and time), to check any stability issues, to measure the influence of the convergence criteria of iterative solvers (if any), etc...

	= Notes =		= Notes =