• Title/Summary/Keyword: Rothe's method

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Simulation of Rothe Micronozzle Using DSMC method SMILE code (DSMC 방법 SMILE 코드를 이용한 Rothe 마이크로 노즐 시뮬레이션)

  • Choi, Young-In;Kim, Young-Hoon;Ok, Ho-Nam;Kim, In-Sun
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2007.04a
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    • pp.30-33
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    • 2007
  • DSMC method is now widely accepted CFD approach to compute and simulate the nozzle plume in rarefied regimes. In this study, using SMILE(Statistical Modeling in Low-density Environment) code which was developed in ITAM, Russia and coded using DSMC method, the internal flow of the Rothe micronozzle was simulated. Moreover, to show the validity of the SMILE code, the centerline temperatures according to the Reynold's number were compared with the ones obtained by the Rothe's experiment.

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APPLICATION OF ROTHE'S METHOD TO A NONLINEAR WAVE EQUATION ON GRAPHS

  • Lin, Yong;Xie, Yuanyuan
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.745-756
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    • 2022
  • We study a nonlinear wave equation on finite connected weighted graphs. Using Rothe's and energy methods, we prove the existence and uniqueness of solution under certain assumption. For linear wave equation on graphs, Lin and Xie [10] obtained the existence and uniqueness of solution. The main novelty of this paper is that the wave equation we considered has the nonlinear damping term |ut|p-1·ut (p > 1).