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ISSN 2753-3239
CCC: 2
PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by: B.H.V. Topping and P. Iványi
Paper 2.13

An SPH based Lagrangian particle model for transient convection-diffusion-reaction problems

C.F. Miao1 and Q.Z. Hou1,2

1State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, China
2School of Civil and Transportation Engineering, Qinghai Minzu University, Xining, China

Full Bibliographic Reference for this paper
C.F. Miao, Q.Z. Hou, "An SPH based Lagrangian particle model for transient convection-diffusion-reaction problems", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the Eleventh International Conference on Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 2, Paper 2.13, 2022, doi:10.4203/ccc.2.2.13
Keywords: reacting flow, smoothed particle hydrodynamics, QUICK, MTVDLF, convection dominated reacting problem.

Abstract
For numerical simulations of convection-dominated reacting flow problems governed by the convection-diffusion-reaction equations, the grid-based Eulerian methods may induce varying degrees of numerical dissipation or spurious oscillations. In this paper, the smooth particle hydrodynamics (SPH) method is applied to the autocatalytic reaction model with multicomponent reactants. For better comparison, three typical Eulerian methods are also introduced, including the high-resolution technique and the Superbee flux limiter, which is considered to be one of the most suitable methods for solving the convection-diffusion-reaction equations. Numerical results show that the Lagrangian particle algorithm has better numerical accuracy than traditional first- and second-order high-resolution methods. It can also correctly track the moving steep fronts without any numerical dispersion and spurious oscillations.

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