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
APA
Chicago
ICMJE
MLA
NLM
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