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The H matrix for time-dependent problems in rarefied gas dynamics

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Abstract

A system of singular integral equations and a set of integral constraints are shown to be uniquely solvable to yield the H matrix useful for half-space applications in time-dependent studies of the theory of rarefied gas dynamics. In addition some useful relationships concerning the H matrix are established.

Zusammenfassung

Es wird gezeigt, dass ein System von singulären Integralgleichungen unter gegebenen Bedingungen eindeutig gelöst werden kann, und eine H-Matrix liefert die für Halbraum-Anwendungen in zeitabhängigen Untersuchungen in der Theorie der verdünnten Gase brauchbar ist. Daneben werden noch einige nützliche Relationen, die die H-Matrix betreffen, abgeleitet.

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References

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Authors and Affiliations

  1. Nuclear Engineering Department, N.C. State University, Raleigh, North Carolina, USA

    C. E. Siewert

  2. Mathematics Department, N.C. State University, Raleigh, North Carolina, USA

    E. E. burniston

Authors
  1. C. E. Siewert
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  2. E. E. burniston
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Siewert, C.E., burniston, E.E. The H matrix for time-dependent problems in rarefied gas dynamics. Journal of Applied Mathematics and Physics (ZAMP) 30, 1005–1010 (1979). https://doi.org/10.1007/BF01590497

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  • DOI: https://doi.org/10.1007/BF01590497

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