Direct numerical simulations of three-dimensional flows past obstacles with a vortex penalization method

被引:23
作者
Mimeau, C. [1 ]
Cottet, G. -H. [2 ]
Mortazavi, I. [3 ]
机构
[1] Conservatoire Natl Arts & Metiers, Lab DynFluid, 151 Blvd Hop, F-75013 Paris, France
[2] Univ Grenoble Alpes, LJK, 51 Rue Math, F-38041 Grenoble, France
[3] Case 2D5000 Conservatoire Natl Arts & Metiers, EA Modelisat Math & Numer 7340 M2N, 292 Rue St Martin, F-75003 Paris, France
关键词
Flow past a sphere; Flow past a hemisphere; Vortex methods; Particle methods; Penalization method; Semi-Lagrangian methods; BLUFF-BODY FLOWS; PARTICLE METHODS; FINITE-DIFFERENCE; REYNOLDS-NUMBERS; SPECTRAL METHOD; VISCOUS FLOWS; SPHERE; COMPUTATIONS; GEOMETRIES; EQUATIONS;
D O I
10.1016/j.compfluid.2016.06.020
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A vortex method with penalization is proposed in order to simulate three-dimensional incompressible bluff body flows. This approach combines the robustness of vortex methods and the flexibility of penalization methods to impose boundary conditions on the obstacle. Far field boundary conditions are handled in a FFT-based Poisson solver. A validation of the proposed numerical method is carried out in the context of flow past a sphere and further simulations are performed in the more challenging case of flow past a hemisphere. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:331 / 347
页数:17
相关论文
共 44 条
[1]   A penalization method to take into account obstacles in incompressible viscous flows [J].
Angot, P ;
Bruneau, CH ;
Fabrie, P .
NUMERISCHE MATHEMATIK, 1999, 81 (04) :497-520
[2]   Multilevel adaptive particle methods for convection-diffusion equations [J].
Bergdorf, M ;
Cottet, GH ;
Koumoutsakos, P .
MULTISCALE MODELING & SIMULATION, 2005, 4 (01) :328-357
[3]   A Lagrangian particle-wavelet method [J].
Bergdorf, Michael ;
Koumoutsakos, Petros .
MULTISCALE MODELING & SIMULATION, 2006, 5 (03) :980-995
[4]   An Accurate Cartesian Method for Incompressible Flows with Moving Boundaries [J].
Bergmann, M. ;
Hovnanian, J. ;
Iollo, A. .
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2014, 15 (05) :1266-1290
[5]  
Caltagirone J. P., 1994, C R ACAD SCI PARIS, V318
[6]   Computations of the Flow Past a Still Sphere at Moderate Reynolds Numbers Using an Immersed Boundary Method [J].
Campregher, Rubens ;
Militzer, Julio ;
Mansur, Sergio Said ;
da Silveira Neto, Aristeu .
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2009, 31 (04) :344-352
[7]   Numerical study of slightly viscous flow [J].
Chorin, Alexandre Joel .
JOURNAL OF FLUID MECHANICS, 1973, 57 :785-796
[8]  
Constantinescu GS, 2000, 200005402000 AIAA
[9]   A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies [J].
Coquerelle, M. ;
Cottet, G. -H. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (21) :9121-9137
[10]   HIGH ORDER SEMI-LAGRANGIAN PARTICLE METHODS FOR TRANSPORT EQUATIONS: NUMERICAL ANALYSIS AND IMPLEMENTATION ISSUES [J].
Cottet, G. -H. ;
Etancelin, J. -M. ;
Perignon, F. ;
Picard, C. .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2014, 48 (04) :1029-1060