an:05934901
Zbl 1230.65098
Wang, Guodong
An Engquist-Osher type finite difference scheme with a discontinuous flux function in space
EN
J. Comput. Appl. Math. 235, No. 17, 4966-4977 (2011).
0377-0427
2011
j
65M06 65M12 35L65 35R05
conservation laws; discontinuous coefficient; interface flux function; Engquist-Osher type finite difference scheme; convergence; numerical examples
An Engquist-Osher type finite difference scheme is derived for dealing with scalar conservation laws having a flux that is spatially dependent through a possibly discontinuous coefficient. The new monotone difference scheme is based on introducing a new interface numerical flux function, which is called a generalized Engquist-Osher flux. By means of this scheme, the existence and uniqueness of weak solutions to the scalar conservation laws are obtained and the convergence theorem is established. Some numerical examples are presented and the corresponding numerical results are displayed to illustrate the efficiency of the methods.
Petr Sváček (Praha)