1. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Generalized weighting function for dissipative and random force Figure Legend:

2. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Schematic of the problem geometry Figure Legend:

3. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Temperature isotherms for RB (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104, and (c) 1 × 105 Figure Legend:

4. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Streamlines for RB (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104, and (c) 1 × 105 Figure Legend:

5. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 RB vector plots (a) Ra = 1 × 104, (b) 5 × 104, and (c) 1 × 105 Figure Legend:

6. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Temperature profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104, (b) 5 × 104, and (c) 1 × 105 Figure Legend:

7. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 V velocity profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104, (b) 5 × 104, and (c) 1 × 105 Figure Legend:

8. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 U velocity profiles at three different sections of the heated wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104, (b) 5 × 104, and (c) 1 × 105 Figure Legend:

9. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 RB V velocity contours (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104, (b) 5 × 104, and (c) 1 × 105 Figure Legend:

10. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 RB U velocity contours (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104, and (c) 1 × 105 Figure Legend:

11. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Temperature Profiles at the mid distance between the hot and the cold wall (solid lines: eDPD, dashed dotted lines: FV solution) (a) Ra = 1 × 104 (b) 5 × 104, and (c) 1 × 105 Figure Legend:

12. Date of download: 7/7/2016 Copyright © ASME. All rights reserved. From: Energy Conservative Dissipative Particle Dynamics Simulation of Natural Convection in Liquids J. Heat Transfer. 2011;133(11):112502-112502-12. doi:10.1115/1.4004347 Nusselt number distribution along the heated wall using Pr = 6.57 (a) Ra = 1 × 104 (b) 5 × 104, and (c) 1 × 105 Figure Legend: