Abstract—Using a well known 2-D transient heat conduction benchmark, a parametric study is conducted to identify the best values for the smoothing length (h) as function of particles spacing in order to minimize the error in the temperature distribution particularly at the center of the domain when applying the Smooth Particle Hydrodynamics (SPH) algorithm. Also the effect of the virtual particles on the numerical solution has been investigated. The results showed that the predefined smoothing length can have significant influence on the accuracy of the prediction and using the optimum value leads to minimum error in temperature prediction values. The results obtained with and without virtual particles has been presented and compared with the analytical solution.
Index Terms—Meshless, smoothing length, SPH, virtual particles.
T. El-Gammal, E. E. Khalil, and H. Haridy are with the mechanical power engineering department, Cairo University, Giza, Egypt (e-mail: firstname.lastname@example.org; email@example.com; firstname.lastname@example.org. edu.eg).
E. Abo-Serie was with the mechanical power engineering department, Cairo University, Egypt. He is now with Mechatronics Department, Mevalana University, Konya, Turkey (e-mail: email@example.com)
Cite:T. El-Gammal, E. E. Khalil, H. Haridy, and E. Abo-Serie, "Influence of Smoothing Length and Virtual Particles on SPH Accuracy," International Journal of Materials, Mechanics and Manufacturing vol. 1, no. 2, pp. 166-170, 2013.