2D Incompressible Flow Numerical Modeling of LSMPS Vortex Particle Method using Ellipsoidal Particle

  • Made Yogga Anggara Pangestu Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
  • Pramudita Satria Palar Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
  • Lavi Rizki Zuhal Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Keywords: multiresolution, ellipsoidal particle, LSMPS, vortex particle method

Abstract

Particle-based fluid simulation has been vastly developed in the recent age. In our groups, a vortex particle method (VPM) is developed using LSMPS method and Brinkman penalization. One of the issues in our program is to enhance performance since it still has a high computational cost. The particle distribution technique of ellipsoidal particles is a new method that intrigues this work. In this paper, the LSMPS–VPM fluid simulation program is being modified by ellipsoidal particle distribution. It was tested on a laminar boundary layer on a flat plate. The results have a significant computation cost reduction with computation time saved up to 53% and even more. The error increase is low and linearly proportional towards the elliptical ratio. By this result, it is very potential to implement this ellipsoidal particle technique on other fluid solvers in reducing the computational cost.

References

Cottet, G.-H., Koumoutsakos, P. D. et al., Vortex methods: Theory and practice, vol. 8, Cambridge university press Cambridge, 2000.

Koshizuka, S., Moving particle semi-implicit method. Matthew Deans, Elsevier, 2018.

Chorin, A., Numerical study of slightly viscous flow, Journal of Fluid Mechanics, 57, pp. 785–796, 1973.

Tanaka, M., Cardoso, R., & Bahai, H., Modification of the lsmps method for the conservation of the thermal energy in laser irradiation processes, International Journal for Numerical Methods in Engineering, 117 (2), pp. 161–187, 2019.

Shibata, K., Koshizuka, S., Masaie, I., Cost reduction of particle simulations by an ellipsoidal particle model, Computer Methods in Applied Mechanics and Engineering, 307, pp. 411-450, 2016.

Angot, P., Bruneau, C.-H., & Fabrie, P., A penalization method to take into account obstacles in incompressible viscous flows, Numerische Mathematik, 81, pp. 497–520, 1999.

Rasmussen, J. T., Particle methods in bluff body aerodynamics, Doctoral dissertation, Technical University of Denmark, 2011.

Gazzola, M., Chatelain, P., Van Rees, W. M., & Koumoutsakos, P., Simulations of single and multiple swimmers with non-divergence free deforming geometries, Journal of Computational Physics, 230 (19), pp. 7093–7114. 2011.

Greengard, L., & Rokhlin, V., A new version of the fast multipole method for the laplace equation in three dimensions, Acta numerica, 6, pp. 229–269, 1997.

Koshizuka, S., & Tamai, T., Least squares moving particle semi-implicit method, Computational Particle Mechanics (CPM), 1, pp. 1–18, 2014.

Tanaka, M., Cardoso, R., & Bahai, H., Multi-resolution MPS method, Journal of Computational Physics, 359, pp. 106–136, 2018.

Dung, D. V. Lagrangian vortex method with brinkman penalization, Doctoral dissertation, Institut Teknologi Bandung, Bandung, 2015.

Pristiansyah, A., Improvement of vortex particle method using multi–resolution least square moving particle semi-implicit (LSMPS) method, Master’s thesis, Institut Teknologi Bandung, Bandung, 2019.

Published
2023-09-15
How to Cite
Pangestu, M. Y. A., Palar, P. S., & Zuhal, L. R. (2023). 2D Incompressible Flow Numerical Modeling of LSMPS Vortex Particle Method using Ellipsoidal Particle. ITB Graduate School Conference, 3(1), 11-25. Retrieved from https://gcs.itb.ac.id/proceeding-igsc/index.php/igsc/article/view/129
Section
Articles