Application of Upwind Scheme in Numerical Solution of Euler Equation for Water Droplets
Numerical simulation is an important means to study aircraft icing.In order to obtain water droplet impingement characteristics,Euler method is usually used to solve the control equation of droplet movement.Due to the discontinuity in the spatial distribution of liquid water content,the solution of the Euler equation of water droplet is easily divergent.If the first-order format is adopted,although the stability is improved,the calculation accuracy is difficult to meet the engineering design requirements.Some researchers increase convergence by adding diffusion terms,but artificially increase numerical dissipation.To solve this problem,the convective flux of the water droplet Euler equation is discretized by a first-order upwind scheme,and the calculation accuracy is guaranteed to reach the second-order by linear reconstruction and limiter functions.The effectiveness and accuracy of the method are verified by comparing the calculation results of NACA0012 NACA23012 and NLF0414 airfoils droplet impingement characteristics with FENSAP-ICE software.
water droplet impingement characteristicswater droplet trajectoryEuler methodupwind schemeicing software
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