Accurate Numerical Discretizations of Non-conservative Hyperbolic Systems
نویسندگان
چکیده
We present an alternative framework for designing efficient numerical schemes for nonconservative hyperbolic systems. This approach is based on the design of entropy conservative discretizations and suitable numerical diffusion operators that mimic the effect of underlying viscous mechanisms. This approach is illustrated by considering two model non-conservative systems: Lagrangian gas dynamics in non-conservative form and a form of isothermal Euler equations. Numerical experiments demonstrating the robustness of this approach are presented. Mathematics Subject Classification. 65M06, 35L65. Received August 7, 2010. Revised April 26, 2011. Published online October 3, 2011.
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تاریخ انتشار 2011