Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Benard convection in a box

被引：3
作者：
Chiam, KH
Lai, MC
Greenside, HS
机构：
[1] CALTECH, Pasadena, CA 91125 USA
[2] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan
[3] Duke Univ, Dept Phys, Durham, NC 27708 USA
[4] Duke Univ, Ctr Nonlinear & Complex Syst, Durham, NC 27706 USA
来源：
PHYSICAL REVIEW E | 2003年 / 68卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.68.026705
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
An efficient semi-implicit second-order-accurate finite-difference method is described for studying incompressible Rayleigh-Benard convection in a box, with sidewalls that are periodic, thermally insulated, or thermally conducting. Operator-splitting and a projection method reduce the algorithm at each time step to the solution of four Helmholtz equations and one Poisson equation, and these are solved by fast direct methods. The method is numerically stable even though all field values are placed on a single nonstaggered mesh commensurate with the boundaries. The efficiency and accuracy of the method are characterized for several representative convection problems.
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页数：10
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共 44 条
  • [1] Anderson DA, 1984, COMPUTATIONAL FLUID
  • [2] FINITE-DIFFERENCE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS ON STAGGERED AND NON-STAGGERED GRIDS[J]. ARMFIELD, SW. COMPUTERS & FLUIDS, 1991(01)
  • [3] NUMERICAL-SIMULATION OF RAYLEIGH-BENARD CONVECTION IN SHALLOW TANKS[J]. ARTER, W;NEWELL, AC. PHYSICS OF FLUIDS, 1988(09)
  • [4] Wave number selection and large-scale-flow effects due to a radial ramp of the spacing in Rayleigh-Benard convection[J]. Bajaj, KMS;Mukolobwiez, N;Currier, N;Ahlers, G. PHYSICAL REVIEW LETTERS, 1999(25)
  • [5] A 2ND-ORDER PROJECTION METHOD FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS[J]. BELL, JB;COLELLA, P;GLAZ, HM. JOURNAL OF COMPUTATIONAL PHYSICS, 1989(02)
  • [6] Recent developments in Rayleigh-Benard convection[J]. Bodenschatz, E;Pesch, W;Ahlers, G. ANNUAL REVIEW OF FLUID MECHANICS, 2000
  • [7] How fast the Laplace equation was solved in 1995[J]. Botta, EFF;Dekker, K;Notay, Y;vanderPloeg, A;Vuik, C;Wubs, FW;deZeeuw, PM. APPLIED NUMERICAL MATHEMATICS, 1997(04)
  • [8] NONLINEAR PROPERTIES OF THERMAL-CONVECTION[J]. BUSSE, FH. REPORTS ON PROGRESS IN PHYSICS, 1978(12)
  • [9] Mean flow and spiral defect chaos in Rayleigh-Benard convection[J]. Chiam, KH;Paul, MR;Cross, MC;Greenside, HS. PHYSICAL REVIEW E, 2003(05)
  • [10] A numerical method for solving incompressible viscous flow problems (Reprinted from the Journal of Computational Physics, vol 2, pg 12-26, 1997)[J]. Chorin, AJ. JOURNAL OF COMPUTATIONAL PHYSICS, 1997(02)
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