K. Meerbergen and D. Roose, Katholieke Universiteit Leuven, Belgium

Discipline:

Computational fluid dynamics

The conservation of reactant and energy in a homogeneous tube of length L in dimensionless form is modeled by

where y and T represent concentration and temperature and denotes the spatial coordinate. The boundary conditions are , , and . Central differences are used to discretize in space. For , the equations can be written as . The parameters in the differential equation are set to P_{em} = P_{eh} = 5, B = 0.5, gamma = 25, beta = 3.5 and D = 0.2662. One seeks the rightmost eigenvalues of the Jacobian matrix . A is a banded matrix with bandwidth 5.

Matrices in this set:

TUB100 (real unsymmetric, 100 by 100, 396 entries)

TUB1000 (real unsymmetric, 1000 by 1000, 3996 entries)