Natural convection in 3D irregular domain - Revision history

Gkosec at 15:03, 18 May 2019

2019-05-18T15:03:22Z

2019-05-18T15:02:36Z

2019-05-18T15:02:16Z

2019-05-18T15:01:53Z

2019-05-18T14:50:20Z

2019-05-18T14:49:09Z

2019-05-18T14:48:32Z

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@@ Line 11: / Line 11: @@
 $\Delta t=10^{-3}$ was used for all cases. Domain is discretized with our [[Positioning of computational nodes|fill algoritm]] with
 Nodal distance $h=0.025$. Boundaries with Neumann
-boundary conditions are additionally treated with ghost nodes [[Ghost nodes (theory)]].
+boundary conditions are additionally treated with [[Ghost nodes (theory)]].
 [[File:DVD_3D.png|400px]]

@@ Line 1: / Line 1: @@
 The classical [[De Vahl Davis natural convection test]] can be extended to 3D.
 In below figures steady state temperature contour and velocity quiver plots
-for Ra$=10^6$ case in 3D are presented. A more quantitative analysis is done by comparing characteristic values, i.e.\
+for Ra$=10^6$ case in 3D are presented. A more quantitative analysis is done by comparing characteristic values, i.e.
 peak positions and values of cross section velocities, with data available in literature. We analyze six different cases,
 namely Ra$=10^6,10^7,10^8$ in 2D, and Ra$=10^4,10^5,10^6$ in 3D.

@@ Line 139: / Line 139: @@
 [ref a for 2D] Couturier, H. & Sadat, S. Performance and accuracy of a meshless method for laminar natural convection Numerical Heat Transfer: Part B: Fundamentals, Taylor & Francis, 2000 , 37 , 455-467
 [ref b for 2D] Kosec, G. & Šarler, B. Solution of thermo-fluid problems by collocation with local pressure correction International Journal of Numerical Methods for Heat & Fluid Flow, Emerald Group Publishing Limited, 2008 , 18 , 868-882
 [ref a for 3D] Wang, P.; Zhang, Y. & Guo, Z. Numerical study of three-dimensional natural convection in a cubical cavity at high Rayleigh numbers Int. J. Heat Mass Transfer, Elsevier, 2017 , 113 , 217-228
 [ref b for 3D] Fusegi, T.; Hyun, J. M.; Kuwahara, K. & Farouk, B. A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure  Int. J. Heat Mass Transfer, Elsevier, 1991 , 34 , 1543-1557

@@ Line 138: / Line 138: @@
 |}
-[ref a for 2D]
+[ref a for 2D] Couturier, H. & Sadat, S. Performance and accuracy of a meshless method for laminar natural convection Numerical Heat Transfer: Part B: Fundamentals, Taylor & Francis, 2000 , 37 , 455-467
-  author    = {Couturier, H. and Sadat, S.},
+[ref b for 2D] Kosec, G. & Šarler, B. Solution of thermo-fluid problems by collocation with local pressure correction International Journal of Numerical Methods for Heat & Fluid Flow, Emerald Group Publishing Limited, 2008 , 18 , 868-882
-  title     = {Performance and accuracy of a meshless method for laminar natural convection},
+[ref a for 3D] Wang, P.; Zhang, Y. & Guo, Z. Numerical study of three-dimensional natural convection in a cubical cavity at high Rayleigh numbers Int. J. Heat Mass Transfer, Elsevier, 2017 , 113 , 217-228
-  journal   = {Numerical Heat Transfer: Part B: Fundamentals},
+[ref b for 3D] Fusegi, T.; Hyun, J. M.; Kuwahara, K. & Farouk, B. A numerical study of three-dimensional natural convection in a differentially heated cubical enclosure  Int. J. Heat Mass Transfer, Elsevier, 1991 , 34 , 1543-1557

@@ Line 139: / Line 139: @@
 [ref a for 2D]
    author    = {Couturier, H. and Sadat, S.},
    title     = {Performance and accuracy of a meshless method for laminar natural convection},
@@ Line 149: / Line 148: @@
    doi       = {10.1080/10407790050051146},
    publisher = {Taylor \& Francis},
 [ref b for 2D]
    author    = {Kosec, Gregor and {\v{S}}arler, Bo{\v{z}}idar},
    title     = {Solution of thermo-fluid problems by collocation with local pressure correction},
@@ Line 161: / Line 158: @@
    doi       = {10.1108/09615530810898999},
    publisher = {Emerald Group Publishing Limited},
 [ref a for 3D]
 [ref b for 3D]

@@ Line 10: / Line 10: @@
 functions, augmented with monomials up to order $2$, with the closest $25$
 nodes used as a stencil. For the time discretization time step
-$\Delta t=10^{-3}$ was used for all cases. Domain is discretized with our [[Positioning of computational nodes|dfs]] with
+$\Delta t=10^{-3}$ was used for all cases. Domain is discretized with our [[Positioning of computational nodes|fill algoritm]] with
 Nodal distance $h=0.025$.. Boundaries with Neumann
 boundary conditions are additionally treated with ghost nodes [[Ghost nodes (theory)]].