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The problem about dynamic interaction of discontinuous waves with interfaces between anisotropic elastic media is considered.
It is employed for the investigation of discontinuous waves propagation in anisotropic tectonic structures.
The Godunov-type schemes are accurate and stable when dealing with discontinuous waves.
Instead of calculating an intercell flux based on these waves, the discontinuous waves are propagated directly.
The new approach is accurate and robust, capable of handling complicated geometry and interactions between discontinuous waves.
This allows the computation of discontinuous waves and their interactions with the accuracy of front-tracking algorithms.
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Also [14, 15] are applications of the discontinuous wave speed problem in a nonhomogeneous medium as in our case.
Several numerical experiments for wave propagation with continuous as well as discontinuous wave speeds confirm the robustness and reliability of the new FVEG scheme.
A new finite-difference time-domain (FDTD) method is introduced for solving transverse magnetic Maxwell's equations in Debye dispersive media with complex interfaces and discontinuous wave solutions.
The schemes are tested on problems of the propagation of a initially discontinuous wave and of the transport of a sharp scalar cone.
In the frame of reference of the traveling wave, the solution of a discontinuous wave consists of a diffusive layer that grows with a rate of t1/2, yielding a convergence rate of 1/2.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com