Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries

被引：966

作者：

Popinet, S ^{[1
]}

机构：

[1] Natl Inst Water & Atmospher Res, Wellington, New Zealand

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2003年 / 190卷 / 02期

关键词：

incompressible flow; adaptive mesh refinement; approximate projection method; complex geometry;

D O I：

10.1016/S0021-9991(03)00298-5

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of-fluid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids. The quad/octree discretisation proves to be very flexible and allows accurate and efficient tracking of flow features. The source code of the method implementation is freely available. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：572 / 600

页数：29

共 47 条

[1]

AFTOSMIS MJ, 1997, AIAA970196 US AIR FO

[2] A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations [J].

Almgren, AS ;

Bell, JB ;

Colella, P ;

Howell, LH ;

Welcome, ML .

JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 142 (01) :1-46

[3] Approximate projection methods: Part I. Inviscid analysis [J].

Almgren, AS ;

Bell, JB ;

Crutchfield, WY .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 22 (04) :1139-1159

[4] A numerical method for the incompressible Navier-Stokes equations based on an approximate projection [J].

Almgren, AS ;

Bell, JB ;

Szymczak, WG .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (02) :358-369

[5] A Cartesian grid projection method for the incompressible Euler equations in complex geometries [J].

Almgren, AS ;

Bell, JB ;

Colella, P ;

Marthaler, T .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1997, 18 (05) :1289-1309

[6]

[Anonymous], THESIS U CALIFORNIA

[7]

Balmelli L., 1999, Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), P487, DOI 10.1109/ICIP.1999.822944

[8] A 2ND-ORDER PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS [J].

BELL, JB ;

COLELLA, P ;

GLAZ, HM .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 85 (02) :257-283

[9] A 2ND-ORDER PROJECTION METHOD FOR VARIABLE-DENSITY FLOWS [J].

BELL, JB ;

MARCUS, DL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 101 (02) :334-348

[10] AN ALGORITHM FOR POINT CLUSTERING AND GRID GENERATION [J].

BERGER, M ;

RIGOUTSOS, I .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1991, 21 (05) :1278-1286

← 1 2 3 4 5 →