Adaptive wavelet simulation of weakly compressible flow in a channel with a suddenly expanded section
Adaptive wavelet simulation of weakly compressible flow in a channel with a suddenly expanded section
复制标题
断面突扩通道内弱可压缩流的自适应小波模拟
DOI：
10.1051/proc/201653003
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
K. Yoshimatsu and K. Schneider
中科院分区：
文献类型：
--
作者：
N. Okamoto;M. O. Domingues;K. Yoshimatsu and K. Schneider
利用有限体积法(FV)和小波网格自适应相结合的方法，提出了一种计算任意形状固体壁面边界弱可压缩流动的自适应多分辨率数值模拟方法。采用体积惩罚方法计算笛卡儿几何中的流动，并施加边界条件。一种动态自适应策略，在每个时间步使用双正交小波变换来同时推进局部细化网格和时间内的流动。我们评估了该方法在具有突增截面的周期通道中的二维流动的质量和效率。将计算结果与均匀网格上非自适应流动模拟得到的参考流进行了比较。结果表明，自适应方法在保持非自适应模拟得到的速度场随时间演变的同时，大大减少了计算时间和内存。
We present an adaptive multiresolution simulation method for computing weakly compressible flow bounded by solid walls of arbitrary shape, using a finite volume (FV) approach coupled with wavelets for grid adaptation. A volume penalization method is employed to compute the flow in the Cartesian geometry and to impose the boundary conditions. A dynamical adaption strategy to advance both the locally refined grid and the flow in time uses biorthogonal wavelet transforms at each time step. We assess the quality and efficiency of the method for a two-dimensional flow in a periodic channel with a suddenly expanded section. The results are compared with a reference flow obtained by a non-adaptive FV simulation on a uniform grid. It is shown that the adaptive method allows for substantial reduction of CPU time and memory, while preserving the time evolution of the velocity field obtained with the non-adaptive simulation.