7. Example Applications for Free Boundary Value Problems
Society for Industrial and Applied Mathematics eBooks · 1998
7.1 The Breaking Dam A common test problem for programs which simulate free boundary value problems is that of the “breaking dam” [Browne, 1978], [Harlow & Welch, 1965], [Hirt & Nichols, 1981], in which a vertical wall confining a fluid to one side of a basin is suddenly removed, thereby allowing the fluid to spread out. In our example the fluid is initially confined to a rectangular area on the left of the computational domain extending across one-fifth of its width and its entire height. The fluid can flow out of the domain through the right boundary, while a free-slip condition is imposed on the left and on the bottom.