A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids

被引:165
作者
Gilmanov, A
Sotiropoulos, F [1 ]
Balaras, E
机构
[1] Georgia Inst Technol, Sch Civil & Environm Engn, Atlanta, GA 30332 USA
[2] Univ Maryland, Dept Engn Mech, College Pk, MD 20742 USA
基金
美国国家卫生研究院; 美国国家科学基金会;
关键词
Cartesian grids; immersed boundaries; direct forcing; finite-difference method;
D O I
10.1016/S0021-9991(03)00321-8
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In the present note a general reconstruction algorithm for simulating incompressible flows with complex immersed boundaries on Cartesian grids is presented. In the proposed method an arbitrary three-dimensional solid surface im mersed in the fluid is discretized using an unstructured, triangular mesh, and all the Cartesian grid nodes near the interface are identified. Then, the solution at these nodes is reconstructed via linear interpolation along the local normal to the body, in a way that the desired boundary conditions for both pressure and velocity fields are enforced. The overall accuracy of the resulting solver is second-order, as it is demonstrated in two test cases involving laminar flow past a sphere. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:660 / 669
页数:10
相关论文
共 13 条
[1]  
BALARAS E, IN PRESS COMPUT FLUI
[2]   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
[3]   ON THE IDENTIFICATION OF A VORTEX [J].
JEONG, J ;
HUSSAIN, F .
JOURNAL OF FLUID MECHANICS, 1995, 285 :69-94
[4]   Flow past a sphere up to a Reynolds number of 300 [J].
Johnson, TA ;
Patel, VC .
JOURNAL OF FLUID MECHANICS, 1999, 378 :19-70
[5]  
JOHNSON TA, 1996, THESIS U IOWA
[6]   An immersed-boundary finite-volume method for simulations of flow in complex geometries [J].
Kim, J ;
Kim, D ;
Choi, H .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 171 (01) :132-150
[7]   A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid [J].
Kirkpatrick, MP ;
Armfield, SW ;
Kent, JH .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 184 (01) :1-36
[8]  
Peskin CS, 2002, ACT NUMERIC, V11, P479, DOI 10.1017/S0962492902000077
[9]   THE DISCRETE CONTINUITY EQUATION IN PRIMITIVE VARIABLE SOLUTIONS OF INCOMPRESSIBLE-FLOW [J].
SOTIROPOULOS, F ;
ABDALLAH, S .
JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 95 (01) :212-227
[10]   Transition from bubble-type vortex breakdown to columnar vortex in a confined swirling flow [J].
Sotiropoulos, F ;
Ventikos, Y .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 1998, 19 (05) :446-458