Adjoint-based optimization of particle trajectories in laminar flows

被引:1
作者
Resendiz, Edgar [1 ]
Pinnau, Rene [2 ]
机构
[1] Technol Inst Saltillo, Div Postgrad Studies & Res, Saltillo 25280, Coahuila, Mexico
[2] Tech Univ Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany
关键词
Optimal control; Particle-flow interactions; Fictitious domain methods; Adjoint calculus; Numerics; Steepest descent; MULTIPLIER/FICTITIOUS DOMAIN METHOD; DIRECT NUMERICAL SIMULATIONS; MOVING RIGID BODIES; TURBULENT; MOTION; DYNAMICS; DISPERSION; SYSTEMS;
D O I
10.1016/j.amc.2014.10.007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a performant numerical algorithm for the optimal control of particle controls in low Reynolds number flows. In particular, circular particles with mass are considered. An optimal control problem for the particle trajectories is presented, which is solved by means of a steepest descent algorithm. Here, the derivative information is obtained using adjoint calculus. Finally, numerical results are presented underlining the feasibility of our approach. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:567 / 583
页数:17
相关论文
共 41 条
[1]  
Chorin Alexandre J., 1993, MATH INTRO FLUID MEC, V4, DOI 10.1007/978-1-4612-0883-9
[2]  
Cox R. G., 1970, Journal of Fluid Mechanics, V44, P791, DOI 10.1017/S002211207000215X
[3]   Fictitious domain/finite element method for particulate flows [J].
Diaz-Goano, C ;
Minev, PD ;
Nandakumar, K .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 192 (01) :105-123
[4]  
DOI M, 1989, J CHEM PHYS, V90, P5271, DOI 10.1063/1.456430
[5]   Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays [J].
Esmaeeli, A ;
Tryggvason, G .
JOURNAL OF FLUID MECHANICS, 1998, 377 :313-345
[6]   Wall deposition of small ellipsoids from turbulent air flows - A Brownian dynamics simulation [J].
Fan, FG ;
Ahmadi, G .
JOURNAL OF AEROSOL SCIENCE, 2000, 31 (10) :1205-1229
[7]  
Feistauer M., 1993, MATH METHODS FLUID D
[8]  
Fiuzbee B., 1971, SIAM J NUMER ANAL, V8, P722
[9]   A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies: application to particulate flow [J].
Glowinski, R ;
Pan, TW ;
Hesla, TI ;
Joseph, DD ;
Periaux, J .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 184 (2-4) :241-267
[10]   A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies:: Application to particulate flow [J].
Glowinski, R ;
Pan, TW ;
Hesla, TI ;
Joseph, DD ;
Périaux, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 169 (02) :363-426