An alternating direction method for multi-dimensional parabolic free surface problems
β Scribed by Gunter H. Meyer
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 512 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
Alternating-direction solution procedures for parabolic partial differential equations can be developed using finite-difference, finite-element, and collocation approximations in space. Each of these methods derives from a common alternating-direction formulation. Furthermore, each method leads to a
## Abstract The alternatingβdirection collocation (ADC) method combines the attractive computational features of a collocation spatial approximation and an alternatingβdirection time marching algorithm. The result is a very efficient solution procedure for parabolic partial differential equations.
A numerical method based on the finite element method is presented for simulating the two-dimensional transient motion of a viscous liquid with free surfaces. For ease of numerical treatment of the free surface expressed by a multiple-valued function, the marker particle method is employed. Numerous