Solution of 3D velocity-vorticity formulation of the Navier-Stokes equations by boundary element method

被引：0

作者：

Ravnik, Jure ^{[1
]}

Skerget, Leopold ^{[1
]}

Zunic, Zoran ^{[1
]}

机构：

[1] Univ Maribor, Fac Mech Engn, Smetanova 17, SLO-2000 Maribor, Slovenia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS | 2007年 / 936卷

关键词：

boundary element method; Navier-Stokes equations; velocity-vorticity formulation; lid driven cavity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A novel algorithm for the simulation of laminar viscous flows by solving of 3D velocity-vorticity formulation of the Navier-Stokes equations is presented. The algorithm employs a combination of a subdomain boundary element method (BEM) and single domain BEM. The subdomain BEM is used to solve the kinematics and vorticity transport equations. We use continuous quadratic interpolation of function and discontinuous linear interpolation of flux. The resulting over-determined system of linear equations is solved in a least squares manner. The single domain BEM is employed to calculate boundary vorticity values, which are used as Dirichlet boundary conditions for the vorticity transport equation. The versatility and accuracy of the proposed algorithm is proven by simulating 31) channel flow and 3D lid driven cavity flows up to Re=10(3).

引用

页码：456 / +

页数：2

共 50 条

[21] AN INFLUENCE MATRIX FORMULATION OF NAVIER-STOKES EQUATIONS IN VELOCITY-VORTICITY FORMULATION FOR INCOMPRESSIBLE FLOWS
GUERMOND, JL
SELLIER, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1991, 313 (13): : 1507 - 1512
[22] Velocity-vorticity formulation of the incompressible Navier-Stokes equations on non orthogonal grids
Bertagnolio, F
Daube, O
COMPUTATIONAL FLUID DYNAMICS '96, 1996, : 644 - 650
[23] Boundary conditions for the vorticity velocity formulation of Navier-Stokes equations
Ni, AL
AIAA JOURNAL, 1996, 34 (02) : 416 - 418
[24] A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
Wong, KL
Baker, AJ
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 38 (02) : 99 - 123
[25] Numerical solution of three-dimensional Navier-Stokes equations by a velocity-vorticity method
Liu, CF
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2001, 35 (05) : 533 - 557
[26] THE SOLUTION OF THE NAVIER-STOKES EQUATIONS IN TERMS OF VORTICITY-VELOCITY VARIABLES BY THE BOUNDARY ELEMENT METHOD
SKERGET, P
ALUJEVIC, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1985, 65 (04): : T245 - T248
[27] Optimal vorticity accuracy in an efficient velocity-vorticity method for the 2D Navier-Stokes equations
Akbas, M.
Rebholz, L. G.
Zerfas, C.
CALCOLO, 2018, 55 (01)
[28] FINITE-ELEMENT SOLUTION OF THE NAVIER-STOKES EQUATIONS BY A VELOCITY VORTICITY METHOD
GUEVREMONT, G
HABASHI, WG
HAFEZ, MM
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1990, 10 (04) : 461 - 475
[29] Numerical simulation of solitary waves using velocity-vorticity formulation of Navier-Stokes equations
Lo, DC
Young, DL
JOURNAL OF ENGINEERING MECHANICS, 2006, 132 (02) : 211 - 219
[30] Viscous incompressible flows by the velocity-vorticity Navier-Stokes equations
Nicolas, Alfredo
Bermudez, Blanca
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2007, 20 (02): : 73 - 83

← 1 2 3 4 5 →