Riemann solution for hyperbolic equations with discontinuous coefficients

Remaki, L.. "Riemann solution for hyperbolic equations with discontinuous coefficients." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 188-196. <http://eudml.org/doc/287822>.

@inProceedings{Remaki2013,
abstract = {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 true as we will show in this paper. A new Riemann solver is then proposed based on previous work of the author and an application to a gas-particle model for a 90 degree curved bend is performed.},
author = {Remaki, L.},
booktitle = {Applications of Mathematics 2013},
keywords = {hyperbolic equations; Riemann solution; discontinuous coefficients},
location = {Prague},
pages = {188-196},
publisher = {Institute of Mathematics AS CR},
title = {Riemann solution for hyperbolic equations with discontinuous coefficients},
url = {http://eudml.org/doc/287822},
year = {2013},
}

TY - CLSWK
AU - Remaki, L.
TI - Riemann solution for hyperbolic equations with discontinuous coefficients
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 188
EP - 196
AB - 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 true as we will show in this paper. A new Riemann solver is then proposed based on previous work of the author and an application to a gas-particle model for a 90 degree curved bend is performed.
KW - hyperbolic equations; Riemann solution; discontinuous coefficients
UR - http://eudml.org/doc/287822
ER -