Numerical Approximation of P -systems with Coulomb Frictional Damping
نویسندگان
چکیده
The asymptotic behavior of dissipative hyperbolic systems is very sensitive to the precise nature of the dissipation. Dry (Coulomb) friction is a limit case that has not been fully analyzed, for instance with respect to the asymptotic time behavior of solutions. Examples of such a problem are given by simple models of granular materials in containers. A numerical approach for generic problems of this type is proposed. The algorithm is based on the Discontinuous Galerkin method; the resulting scheme is briefly analyzed. Numerical results show the asymptotic stress profiles to be distinct but “close” to those predicted by an elementary analysis due to Janssen (1895) that still plays a role in Engineering today.
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