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A Simple Multidimensional Euler-Scheme

by M. Fey and R. Jeltsch

(Report number 1992-10)

Abstract
The idea of the decomposition of the vector of conserved quantities of the multidimensional Euler equations into three multidimensional waves is briefly described. It is implemented in the so-called transport method. Starting from this idea, the necessary properties of these waves to prove the consistency of a numerical scheme are collected. These properties are then used to construct a new and very simple method which preserves all the properties of the transport method. Numerical results obtained with this simple scheme are shown.

Keywords: Euler equations, multidimensional waves, dimensional splitting

@Techreport{FJ92_20,
  author = {M. Fey and R. Jeltsch},
  title = {A Simple Multidimensional Euler-Scheme},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1992-10},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1992/1992-10.pdf },
  year = {1992}
}

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