Island size distribution in stochastic simulations of the Saffman-Taylor instability
J D Sherwood; J D Sherwood; Etudes et Fabrication Dowell Schlumberger, St. Etienne, France
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1986-03-11
Аннотация:
A stochastic numerical scheme is used to simulate radial motion of a fluid interface through a two-dimensional porous medium. The point at which the interface moves is chosen with a probability proportional to the local pressure gradient. The interface can intersect itself, enclosing islands of the original fluid. The number of islands of area s is found to scale approximately as s<sup>- alpha </sup>, where alpha lies in the range 2.07+or-0.7.
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