Abstract

Smoothed Particle Hydrodynamics (SPH) is a meshless Lagrangian method in which the domain is represented by particles. Each particle is assigned properties such as mass, pressure, density, temperature, and velocity. These properties are then evaluated at the particle positions using a smoothing kernel that integrates over the values of the surrounding particles. In the present study, the SPH method is first used to study the flow between infinite plates at different temperatures; velocity and temperature profiles are compared to the analytical solution and good agreements are found. Then, the SPH is further extended to study the heat transfer of an isothermal cylinder in a periodic flow. The velocity profile is found to be in good agreement with results provided in the literature, and the temperature field obtained seems reasonable. Finally, the natural convection of a heated cylinder in a square enclosure is studied. For this, the discretized version of the heat equation is used in conjunction with the Boussinesq approximation. The results between the SPH with and without a tensile instability are compared.

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