K. Meerbergen, Katholieke Universiteit Leuven, Belgium

Discipline:

Hydrodynamics

The Olmstead model represents the flow of a layer of viscoelastic fluid heated from below. The equations are

with boundary conditions u(0) = u(1) = 0 and v(0) = v(1) = 0. u represents the speed of the fluid and v is related to viscoelastic forces. The equation was discretised with central differences with grid size . After discretization the equation can be written as with . One seeks the rightmost eigenvalues of the Jacobi matrix with parameters B = 2, C = 0.1 and R = 4.7.

Matrices in this set:

OLM100 (real unsymmetric, 100 by 100, 396 entries)

OLM1000 (real unsymmetric, 1000 by 1000, 3996 entries)

OLM2000 (real unsymmetric, 2000 by 2000, 7996 entries)

OLM500 (real unsymmetric, 500 by 500, 1996 entries)

OLM5000 (real unsymmetric, 5000 by 5000, 19996 entries)