Difference methods for time-dependent two-dimensional convection
Journal Article
·
· Comput. Phys. Commun., v. 6, no. 5, pp. 198-220
Some new finite difference methods are developed for investigating a variety of two-dimensional problems in a Boussinesq fluid contained in a rectangular region with free boundaries. The equations are solved on a staggered mesh, thereby halving the requirements for storage and computing time. The temperature and vorticity are governed by parabolic equations, which are solved using leapfrog and Dufort-- Frankel schemes. The stream function is related to the vorticity by Poisson's equation, which is solved on the staggered mesh by Fourier analysis followed by diagonal elimination or cyclic recursion; the necessary values are then found by higher order interpolation. Three consistent methods are described: second order schemes on square and on rectangular meshes and a fourth order scheme. Their accuracies are analyzed and applications to a number of convection problems are discussed. (auth)
- Research Organization:
- Univ. of Cambridge, Eng.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-024904
- OSTI ID:
- 4308076
- Journal Information:
- Comput. Phys. Commun., v. 6, no. 5, pp. 198-220, Journal Name: Comput. Phys. Commun., v. 6, no. 5, pp. 198-220; ISSN CPHCB
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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