Implicit approaches for moving boundaries in a 3-D Cartesian method

Scott M. Murman, Michael J. Aftosmis, Marsha J. Berger

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Amethod for simulating moving impermeable boundaries within a fixed Cartesian mesh is described. The scheme leverages the automated volume mesh generation process which has previously been demonstrated for static geometries. An implicit dual-time method is used for the time advance, which limits the number of times the geometry must be intersected with the Cartesian volume mesh over a complete simulation. A general motion is decomposed into a rigid-body motion of the entire computational domain, with a relative-body motion superimposed. The rigid-domain motion is treated using an ALE formulation, which confines the required geometry processing only to the regions of relative motion within the domain. A detailed space-time analysis is used to present and discuss the moving-boundary scheme, with particular attention given to complexities arising in multiple dimensions. A hierarchy of conservative approximations for the evolution of the moving geometry over a timestep is presented. Preliminary results are discussed in one, two and three dimensions using CFL numbers based upon the moving wall velocity of between 1 and 20.

Original languageEnglish (US)
Title of host publication41st Aerospace Sciences Meeting and Exhibit
StatePublished - Dec 1 2003
Event41st Aerospace Sciences Meeting and Exhibit 2003 - Reno, NV, United States
Duration: Jan 6 2003Jan 9 2003

Publication series

Name41st Aerospace Sciences Meeting and Exhibit

Other

Other41st Aerospace Sciences Meeting and Exhibit 2003
CountryUnited States
CityReno, NV
Period1/6/031/9/03

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

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    Murman, S. M., Aftosmis, M. J., & Berger, M. J. (2003). Implicit approaches for moving boundaries in a 3-D Cartesian method. In 41st Aerospace Sciences Meeting and Exhibit (41st Aerospace Sciences Meeting and Exhibit).