Numerical simulation of shock wave focusing at fold caustics, with application to sonic boom.
Numerical simulation of shock wave focusing at fold caustics, with application to sonic boom.
复制标题
聚焦于折叠焦散的冲击波的数值模拟，并应用于音爆。
DOI：
--
复制
发表时间：
2003
影响因子：
2.4
通讯作者：
R. Grenon
中科院分区：
文献类型：
--
作者：
R. Marchiano;F. Coulouvrat;R. Grenon
弱激波聚焦于折叠焦散线由混合型椭圆/双曲非线性Tricomi方程描述。本文提出了一种新的和原始的数值方法来解决这个方程，使用潜在的制定和“精确”的数值求解器处理非线性。验证测试定量地证明了算法的效率，该算法能够处理复杂的波形，因为可能会从“优化”的飞机设计，以尽量减少音爆。它提供了一个真实的替代的近似方法的速端变换。这促使应用程序评估加速飞机音爆的地面轨迹聚焦，方法是在自适应网格上围绕实体模型进行CFD欧拉模拟、大气传播建模和Tricomi算法。选择的配置是欧洲Eurosup模型。作为匹配距离的函数的聚焦繁荣在地面水平的收敛性进行了研究，以证明数值处理的效率。最后，指出目前的工作如何可能铺平道路的研究声超爆（集中繁荣）缓解。
Weak shock wave focusing at fold caustics is described by the mixed type elliptic/hyperbolic nonlinear Tricomi equation. This paper presents a new and original numerical method for solving this equation, using a potential formulation and an "exact" numerical solver for handling nonlinearities. Validation tests demonstrate quantitatively the efficiency of the algorithm, which is able to handle complex waveforms as may come out from "optimized" aircraft designed to minimize sonic booms. It provides a real alternative to the approximate method of the hodograph transform. This motivated the application to evaluate the ground track focusing of sonic boom for an accelerating aircraft, by coupling CFD Euler simulations performed around the mock-up on an adaptated mesh grid, atmospheric propagation modeling, and the Tricomi algorithm. The chosen configuration is the European Eurosup mock-up. Convergence of the focused boom at the ground level as a function of the matching distance is investigated to demonstrate the efficiency of the numerical process. As a conclusion, it is indicated how the present work may pave the way towards a study on sonic superboom (focused boom) mitigation.