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

Publication ,  Journal Article
Chiam, KH; Lai, MC; Greenside, HS
Published in: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
2003

A semi-implicit finite-difference algorithm for integrating the Boussinesq equations in two- and three-dimensional boxes, with sidewalls that are periodic, thermally insulated, or thermally conducting is presented. The approach is useful for simple geometries such as a box, cylinder, torus, and annulus, with boundary conditions such that various linear operators are separable so that fast direct methods can be applied. The resulting algorithm is sufficiently efficient that aspect ratios up to Γ≈20 can be studied on a single-processor workstation over several days.

Duke Scholars

Published In

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

ISSN

1063-651X

Publication Date

2003

Volume

68

Issue

2 2

Start / End Page

026705/1 / 026705/10
 

Citation

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MLA
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Chiam, K. H., Lai, M. C., & Greenside, H. S. (2003). Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Bénard convection in a box. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 68(2 2), 026705/1-026705/10.
Chiam, K. H., M. C. Lai, and H. S. Greenside. “Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Bénard convection in a box.” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 68, no. 2 2 (2003): 026705/1-026705/10.
Chiam KH, Lai MC, Greenside HS. Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Bénard convection in a box. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2003;68(2 2):026705/1-026705/10.
Chiam, K. H., et al. “Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Bénard convection in a box.” Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 68, no. 2 2, 2003, pp. 026705/1-026705/10.
Chiam KH, Lai MC, Greenside HS. Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Bénard convection in a box. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2003;68(2 2):026705/1-026705/10.

Published In

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

ISSN

1063-651X

Publication Date

2003

Volume

68

Issue

2 2

Start / End Page

026705/1 / 026705/10