An adjoint-based lattice Boltzmann method for noise control problems

被引:19
|
作者
Vergnault, E. [1 ,2 ]
Sagaut, P. [1 ,2 ]
机构
[1] Univ Paris 06, Inst Jean Rond Alembert, UMR 7190, F-75005 Paris, France
[2] CNRS, Inst Jean Rond Alembert, UMR 7190, F-75005 Paris, France
关键词
Lattice Boltzmann method; Adjoint problem; Optimization; Active noise reduction; NAVIER-STOKES EQUATIONS; SENSITIVITY-ANALYSIS; COMPLEX-VARIABLES; TOPOLOGY OPTIMIZATION; BOUNDARY-CONDITIONS; FLUID-FLOW; BGK MODEL; DIFFERENTIATION; DERIVATIVES; IDENTIFICATION;
D O I
10.1016/j.jcp.2014.07.027
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper optimal control of acoustic problems is addressed within the lattice Boltzmann method framework. To this end, an adjoint-based lattice Boltzmann method is proposed to solve the adjoint problem. The adjoint state provides an easy access to the optimization gradients. The line search step in Newton's descent method is performed through a combination of complex differentiation and adjoint problem in the lattice Boltzmann method. The implementation of an active noise reduction method for two-dimensional weakly compressible (low Mach number) flows is discussed, and the applicability of the method is assessed. (C) 2014 Elsevier Inc. All rights reserved.
引用
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页码:39 / 61
页数:23
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