Journal Article10.1016/0010-4655(73)90092-1
Difference methods for time-dependent two-dimensional convection
48
TL;DR: In this article, a finite difference method is developed for investigating a variety of two-dimensional problems in a Boussinesq fluid contained in a rectangular region with free boundaries, which is solved on a staggered mesh, thereby halving the requirements for storage and computing time.
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About: This article is published in Computer Physics Communications. The article was published on 01 Nov 1973. The article focuses on the topics: Finite difference method & Vorticity.
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Citations
Convective instability of a thickened boundary layer and its relevance for the thermal evolution of continental convergent belts
TL;DR: In this article, the authors studied the instability of a boundary layer for a range of physical parameters (Rayleigh number, amounts of thickening, and boundary conditions) and derived expressions that related the growth of the instability and the time needed to remove the boundary layer as a function of the amount of horizontal shortening (f), the Rayleigh number (R), and the ratio (a/d) of the thicknesses of the rigid and fluid layers.
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Convection in the earth's mantle: towards a numerical simulation
TL;DR: In this article, a review of the geophysical information and the fluid dynamics of convection in a Boussinesq fluid of infinite Prandtl number is presented and analyzed in terms of simple physical models.
716
Anomalous heat flow and geoid across the Cape Verde Rise: evidence for dynamic support from a thermal plume in the mantle
TL;DR: In this paper, the authors describe results from 200 heat flow measurements across the Cape Verde Rise in the North Atlantic and show that the heat flow through normal, 125 Myr-old crust is 45.5 ± 3.4mWm-2, close to the prediction for a lithospheric plate model.
334
Two-dimensional Rayleigh-Benard convection
D. R. Moore,Nigel Weiss +1 more
TL;DR: In this article, the authors studied two-dimensional convection in a Boussinesq fluid confined between free boundaries, with a Prandtl number p = 6·8 and showed that the heat flux is a maximum for square cells; steady convection is impossible for wider cells and finite amplitude oscillations appear instead, with periodic fluctuations of temperature and velocity in the layer.
220
Nonlinear double-diffusive convection
Herbert E. Huppert,D. R. Moore +1 more
TL;DR: In this paper, the possible forms of large-amplitude motion of a fluid confined between two long horizontal planes, heated and salted from below, are traced out as a function of the four non-dimensional parameters which specify the problem: the thermal Rayleigh number RT, the saline Rayleigh numbers ES, the Prandtl number σ and the ratio of the diffusivities τ.
References
An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
•Book
Elementary Numerical Analysis
Kendall Atkinson
- 01 Jan 1972
TL;DR: This chapter discusses Taylor Polynomials, Numerical Linear Algebra, and the Finite Difference Method for PDEs, as well as other topics of interest to students of mathematics.
1.3K
Convection in the earth's mantle: towards a numerical simulation
TL;DR: In this article, a review of the geophysical information and the fluid dynamics of convection in a Boussinesq fluid of infinite Prandtl number is presented and analyzed in terms of simple physical models.
716
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