TVD格式在水滴流场数值模拟中的应用

doi:10.7527/S1000-6893.2022.27010

Abstract

Abstract: Aircraft icing endangers the safety of aviation, while numerical calculation is a major method to research icing. The iterative solving process of the water droplet field in the numerical calculation of aircraft icing tends to easily diverge due to the discontinuity in the distribution of water content and the singularity of the velocity in the Euler method. Aiming at this problem and considering the hyperbolic conservation law equation, we present five TVD schemes for the calculation of the water droplet field. The main idea is to develop a monotonic linear reconstruction function for the variables on each unit based on the first-order upwinding scheme, and the time discretization adopts the fourth-order Runge-Kutta method. The accuracy and convergence of the method are analyzed by calculation, and the calculation results of the NACA0012 airfoil, NACA23012 airfoil and three-element airfoil 30P30N show that the method is successful. It improves the spatial accuracy in solving the water droplets field using Eulerian method and provides reference for the application of TVD scheme in two-phase flow.

Key words: icing, droplet impingement, Euler method, discretion of convection, TVD scheme, flux limiter

CLC Number:

V211.3

WANG Zhaoli, ZENG Tao, ZHOU Zhihong, CHEN Yu. Application of TVD scheme in numerical simulation of water droplet field[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(12): 627010-627010.

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Application of TVD scheme in numerical simulation of water droplet field

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