Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Accuracy of finite-volume discretizations for the bifurcating natural-convection flow in a square cavity

Journal Article · · Numerical Heat Transfer. Part B, Fundamentals; (United States)
;  [1]
  1. Delft Univ. of Tech., Delft (Netherlands)
This study investigates the numerical accuracy of the finite-volume discretization for the natural-convection flow of air in a square cavity with differentially heated vertical walls and adiabatic horizontal walls. The regime of high Rayleigh numbers is considered, in which the steady flow bifurcates to a periodic unsteady flow. Investigated is how the accuracy depends on (1) the numerical discretization scheme for the convective fluxes and (2) the number of grid points. The fourth-order central interpolation scheme for the convective derivative turns out to be the most accurate scheme. At least 240[sup 2] grid points are required to obtain good accuracy for the amplitude of the oscillations.
OSTI ID:
5869698
Journal Information:
Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 24:2; ISSN 1040-7790; ISSN NHBFEE
Country of Publication:
United States
Language:
English

Similar Records

Natural convection in a square cavity with temperature dependent viscosity
Book · Sat Dec 30 23:00:00 EST 1995 · OSTI ID:458405

Turbulent Natural Convection in a Square Cavity with a Circular Cylinder
Journal Article · Mon Jul 18 20:00:00 EDT 2016 · Journal of Thermophysics and Heat Transfer · OSTI ID:1339154

Unsteady natural convection in a partially heated rectangular cavity
Journal Article · Sat Aug 01 00:00:00 EDT 1987 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States) · OSTI ID:6065532