【摘要】：基于帶權(quán)點填充布點方法,結(jié)合指定流場參數(shù)梯度的分布,提出了一種新的無網(wǎng)格自適應(yīng)方法計算非穩(wěn)態(tài)問題。該方法的自適應(yīng)探測器E由節(jié)點的權(quán)重和參數(shù)梯度組成。使用自適應(yīng)探測器識別出加密或者粗化的區(qū)域,形成加密空腔和粗化空腔,然后重新填充布點。新節(jié)點的權(quán)重由自適應(yīng)探測器E結(jié)合該處的梯度大小通過預(yù)測-校正迭代算法計算得到。另外,由于參數(shù)梯度在激波附近波動范圍比較大,所以新節(jié)點的權(quán)重存在最大值和最小值。首先對預(yù)先設(shè)置壓強梯度的流場區(qū)域進行自適應(yīng)布點,并與傳統(tǒng)自適應(yīng)布點結(jié)果進行對比,點云分布圖顯示所提自適應(yīng)方法重新生成的點云結(jié)構(gòu)疏密分布更加合理。進一步,將此自適應(yīng)方法應(yīng)用于Riemann問題和激波碰撞圓柱問題,計算結(jié)果表明該方法可以在節(jié)點數(shù)目較低的情況下顯著提高運動激波的分辨率。在激波碰撞圓柱問題中,比較了使用自適應(yīng)算法和非自適應(yīng)算法得到相當?shù)慕Y(jié)果所使用時間,前者是后者的20.6%,因此該自適應(yīng)算法在計算效率方面也具有較大的優(yōu)勢。
[Abstract]:A new meshless adaptive method is proposed to calculate the unsteady state problem based on the weighted point-filled placement method and the distribution of the specified flow field parameter gradient. The adaptive detector E of this method consists of the weights and parameter gradients of the nodes. An adaptive detector is used to identify the encrypted or roughened areas, to form an encrypted cavity and a coarse cavity, and then to repopulate the points. The weight of the new node is calculated by using the predictor-correction iterative algorithm combined with the adaptive detector E and the gradient. In addition, due to the large fluctuation range of the parameter gradient near the shock wave, the weight of the new node has the maximum value and the minimum value. Firstly, the flow field with preset pressure gradient is arranged adaptively, and compared with the traditional adaptive distribution results, the point cloud distribution diagram shows that the proposed adaptive method is more reasonable to generate the point cloud structure density distribution. Furthermore, the adaptive method is applied to the Riemann problem and the shock wave collision problem. The results show that the method can improve the resolution of the moving shock wave significantly when the number of nodes is low. In the shock wave collision cylinder problem, the time of using adaptive algorithm and non-adaptive algorithm are compared. The former is 20.6 of the latter, so the adaptive algorithm also has a great advantage in computing efficiency.
【作者單位】： 南京理工大學能源與動力工程學院;
【分類號】：O35
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本文編號：2334170