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Stagnation point analysis

by M. Fey and R. Jeltsch and S. Müller

(Report number 1992-03)

Abstract
The numerical solution of a symmetric hypersonic blunt body flow in two space dimensions is considered, and the problem of the arising chemical boundary layer is discussed. Analytical and numerical investigations are used to analyze the solution on the stagnation point streamline. We point out the necessary assumptions to obtain an equivalent system of ordinary differential equations along this line and to get a unique solution. We also describe the situation in the limiting case at the stagnation point and give a differential algebraic system from which we obtain the solution at this point. We derive the shape of the boundary layer by linearizing the equations. Some of our results differ from those of other authors. Then we present numerical tools to get a better indication of this boundary layer even in 2D calculations.

Keywords: chemical boundary layer, geometrical singularities

@Techreport{FJM92_13,
  author = {M. Fey and R. Jeltsch and S. M\"uller},
  title = {Stagnation point analysis},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1992-03},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1992/1992-03.pdf },
  year = {1992}
}

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