Direct Numerical Simulation of Turbulent Katabatic Slope Flows with an Immersed-Boundary Method

被引:14
作者
Umphrey, Clancy [1 ]
DeLeon, Rey [1 ,2 ]
Senocak, Inanc [1 ]
机构
[1] Boise State Univ, Boise, ID 83725 USA
[2] Univ Idaho, Moscow, ID 83843 USA
基金
美国国家科学基金会;
关键词
Direct numerical simulation; Immersed-boundary method; Katabatic flows; Stable stratification; Turbulence; LARGE-EDDY SIMULATIONS; HEAT-TRANSFER; COMPLEX; 3D; SURFACE;
D O I
10.1007/s10546-017-0252-3
中图分类号
P4 [大气科学(气象学)];
学科分类号
0706 ; 070601 ;
摘要
We investigate a Cartesian-mesh immersed-boundary formulation within an incompressible flow solver to simulate laminar and turbulent katabatic slope flows. As a proof-of-concept study, we consider four different immersed-boundary reconstruction schemes for imposing a Neumann-type boundary condition on the buoyancy field. Prandtl's laminar solution is used to demonstrate the second-order accuracy of the numerical solutions globally. Direct numerical simulation of a turbulent katabatic flow is then performed to investigate the applicability of the proposed schemes in the turbulent regime by analyzing both first- and second-order statistics of turbulence. First-order statistics show that turbulent katabatic flow simulations are noticeably sensitive to the specifics of the immersed-boundary formulation. We find that reconstruction schemes that work well in the laminar regime may not perform as well when applied to a turbulent regime. Our proposed immersed-boundary reconstruction scheme agrees closely with the terrain-fitted reference solutions in both flow regimes.
引用
收藏
页码:367 / 382
页数:16
相关论文
共 37 条
[1]   Nocturnal meso-beta basin and katabatic flows on a midlatitude island [J].
Cuxart, J. ;
Jimenez, M. A. ;
Martinez, D. .
MONTHLY WEATHER REVIEW, 2007, 135 (03) :918-932
[2]  
DeLeon R., 2012, ASME 2012 Fluids Engineering Division Summer Meeting, V1, P8
[3]   Large-Eddy Simulations of Turbulent Incompressible Flows on GPU Clusters [J].
DeLeon, Rey ;
Jacobsen, Dana ;
Senocak, Inanc .
COMPUTING IN SCIENCE & ENGINEERING, 2013, 15 (01) :26-33
[4]   Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations [J].
Fadlun, EA ;
Verzicco, R ;
Orlandi, P ;
Mohd-Yusof, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 161 (01) :35-60
[5]   Structure of numerically simulated katabatic and anabatic flows along steep slopes [J].
Fedorovich, Evgeni ;
Shapiro, Alan .
ACTA GEOPHYSICA, 2009, 57 (04) :981-1010
[6]  
Ferziger J H, 2012, COMPUTATIONAL METHOD
[7]   A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies [J].
Gilmanov, A ;
Sotiropoulos, F .
JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 207 (02) :457-492
[8]   A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids [J].
Gilmanov, A ;
Sotiropoulos, F ;
Balaras, E .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 191 (02) :660-669
[9]   A hybrid immersed boundary and material point method for simulating 3D fluid-structure interaction problems [J].
Gilmanov, Anvar ;
Acharya, Sumanta .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 56 (12) :2151-2177
[10]  
Jacobsen DA, 2011, 49 AIAA AEROSPACE SC