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

Scott M. Murman, Michael J. Aftosmis, Marsha 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 - 2003
Event41st Aerospace Sciences Meeting and Exhibit 2003 - Reno, NV, United States
Duration: Jan 6 2003Jan 9 2003

Other

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

Fingerprint

geometry
Geometry
mesh
Mesh generation
rigid structures
hierarchies
method
formulations
Processing
simulation
approximation
analysis

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

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

Implicit approaches for moving boundaries in a 3-D Cartesian method. / Murman, Scott M.; Aftosmis, Michael J.; Berger, Marsha.

41st Aerospace Sciences Meeting and Exhibit. 2003.

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

Murman, SM, Aftosmis, MJ & Berger, M 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 2003, Reno, NV, United States, 1/6/03.
Murman SM, Aftosmis MJ, Berger M. Implicit approaches for moving boundaries in a 3-D Cartesian method. In 41st Aerospace Sciences Meeting and Exhibit. 2003
Murman, Scott M. ; Aftosmis, Michael J. ; Berger, Marsha. / Implicit approaches for moving boundaries in a 3-D Cartesian method. 41st Aerospace Sciences Meeting and Exhibit. 2003.
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