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The method of transport for nonlinear systems of hyperbolic conservation laws in several space dimensions

by M. Fey and R. Jeltsch and J. Maurer and A.-T. Morel

(Report number 1997-12)

Abstract
The idea of the method of transport is introduced by means of non-linear conservation laws. The systems are rewritten in an advection form accounting for the characteristic propagation directions. A straightforward linearization of this advection form leads to a genuinely multi-dimensional method. Approximations using infinitely many or a finite number of propagation directions are shown.

Keywords:

@Techreport{FJMM97_217,
  author = {M. Fey and R. Jeltsch and J. Maurer and A.-T. Morel},
  title = {The method of transport for nonlinear systems of hyperbolic conservation laws in several space dimensions},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1997-12},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1997/1997-12.pdf },
  year = {1997}
}

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