Development of a numerical method to simulate turbulent flows in complex geometries: A wavelet viewpoint

2014 Fiscal Year Final Research Report

• Project/Area Number: 24760063
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Engineering fundamentals
• Research Institution: Nagoya University
• Principal Investigator: OKAMOTO Naoya 名古屋大学, 工学(系)研究科(研究院), 助教 (80547414)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: ウェーブレット / 乱流 / アダプティブ / シミュレーション / wavelet / adaptive

Outline of Final Research Achievements

We present an adaptive multiresolution simulation method for computing weakly compressible flow bounded by solid walls of arbitrary shape, using wavelets and a finite volume (FV) approach. 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 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, while preserving the time evolution of the velocity field obtained for the non-adaptive simulation.

Free Research Field

流体物理学