Richtungsräume und Richtungsdimension
This paper deals with a Riemann solution for scalar hyperbolic equations with discontinuous coefficients. In many numerical schemes of Godunov type in fluid dynamics, electromagnetic and so on, usually hyperbolic problems are solved to estimate fluxes. The exact solution is generally difficult to obtain, but good approximations are provided in many situations like Roe and HLLC Riemann solvers in fluid. However all these solvers assumes that the acoustic waves speeds are continuous which is not...
The purpose of this extended abstract is to summarize the report on the final achievements of the RusDML project, where this acronym stands for Russian Digital Mathematical Library. The initial phases of the project have been described in [Evstigneeva, G. A., Wegner, B.: O proekte sozdanija elektronnogo archiva russkich publikatsii po matematiki. Proceedings of LIBCOM 2002, Yershovo, November 2002.] and [Evstigneeva, G. A., Zemskov, A.: RusDML — a Russian-German project for establishing a digital...
A Fourier approximation method is used for modeling and simulation of fully nonlinear steady waves. The set of resulting nonlinear equations are solved by Newton's method. The shoaling of waves is simulated based on comparisons with experimental data. The wave heights and the angles of breaking are analysed until the limit of inadequacy of the numerical method. The results appear quite close to those criteria predicted by the theory of completely nonlinear surface waves and contribute to provide...