NUMERICAL METHODS FOR APPROXIMATE CALCULATION OF TURBULENT FLOWS IN ENGINEERING SYSTEMS AND THEIR CONVERGENCE ANALYSIS.
Keywords:
Navier-Stokes equation, turbulence, numerical methods, SIMPLE algorithm, convergence, engineering systems, mathematical modeling.Abstract
This paper investigates the mathematical modeling of turbulent flows within engineering systems. The research focuses on numerical algorithms for solving the non-linear Navier-Stokes equations, specifically utilizing the SIMPLE algorithm coupled with the k-epsilon turbulence model. The study performs a rigorous mathematical analysis of the impact of mesh refinement on computational accuracy and the stability of the convergence process. The results demonstrate that the proposed numerical scheme allows for high-fidelity prediction of hydrodynamic processes and the optimization of energy dissipation in engineering devices. The findings provide a robust computational framework for hydraulic infrastructure design.
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Anderson, J. D., & Wendt, J. (2023). Computational Fluid Dynamics: The Basics with Applications (2nd ed.). McGraw-Hill Education.
Ferziger, J. H., Perić, M., & Street, R. L. (2020). Computational Methods for Fluid Dynamics. Springer Nature.
Launder, B. E., & Spalding, D. B. (1974). The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, 3(2), 269-289.
Patankar, S. V. (2018). Numerical Heat Transfer and Fluid Flow. Taylor & Francis.
Pope, S. B. (2020). Turbulent Flows. Cambridge University Press.
Tennekes, H., & Lumley, J. L. (2019). A First Course in Turbulence. MIT Press.
Versteeg, H. K., & Malalasekera, W. (2021). An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Pearson Education.
Wang, L., & Zheng, Y. (2024). Advanced convergence criteria for iterative solvers in fluid mechanics. Journal of Computational Physics, 498, 112-125.
Wilcox, D. C. (2006). Turbulence Modeling for CFD (3rd ed.). DCW Industries.
Yakhot, V., & Orszag, S. A. (1986). Renormalization group analysis of turbulence. I. Basic theory. Journal of Scientific Computing, 1(1), 3-51.
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