In order to embark the development of characteristic based schemes for hyperbolic systems with nonlinear stiff source terms we have studied a prototype one-dimensional discrete-velocity Boltzmann equation. We show that the method can be evaluated at the cost of an explicit scheme and that yield accurate solutions even when the relaxation time is much less than the time step. Numerical experiments confirm that the quality of the results obtained is comparable with those of earlier approaches.
Characteristic based numerical schemes for hyperbolic sytems with nonlinear relaxation
PARESCHI, Lorenzo
1998
Abstract
In order to embark the development of characteristic based schemes for hyperbolic systems with nonlinear stiff source terms we have studied a prototype one-dimensional discrete-velocity Boltzmann equation. We show that the method can be evaluated at the cost of an explicit scheme and that yield accurate solutions even when the relaxation time is much less than the time step. Numerical experiments confirm that the quality of the results obtained is comparable with those of earlier approaches.File in questo prodotto:
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