Meshless Method for Numerical Solution of Internal Flows with Axial Symmetry

Document Type : Research Article

Authors

Faculty of Aerospace, Malek Ashtar University of Technology, Tehran, Iran

Abstract

In this research, a meshless numerical method has been developed to solve internal and axisymmetric flows. In this method, the least squares of the Taylor series are used for spatial discretization and explicit multi-step Runge-Kutta method is used for temporal discretization. Governing equations are based on two-dimensional and symmetric Euler equations. The second and forth order artificial dissipation are used to solve the flows. In order to model boundary condition, subsonic and supersonic inlet and outlet boundary conditions as well as the wall boundary have been used according to the problem. To validate the results of the code, the inviscid flow inside a two-dimensional nozzle and the supersonic flow inside the channel along with bump have been simulated and the results have been compared with valid data. The simulation of the steady flow inside a axi-symmetric convergent-divergent supersonic nozzle with Mach 5 in outlet has been done to measure the accuracy of solving the numerical code at the hypersonic speed. The results show that the developed code can simulate steady internal and axi-symmetric flows with very good accuracy. The process of code convergence is also presented, which shows the appropriate convergence of the developed code. The analysis time for shock capturing in the axi-symmetric nozzle is about 64% faster than the Fluent software.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 55, Issue 3
June 2023
Pages 285-302

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