Augmented proper orthogonal decomposition for problems with moving discontinuities Academic Article uri icon

abstract

  • A method is proposed to augment the proper orthogonal decomposition basis functions with discontinuity modes to better capture moving discontinuities in reduced-order models. Moving discontinuities can be shocks in unsteady gas flows or bubbles in multiphase flow. The method is shown to work for a simple test problem using the first-order wave equation. A method for detecting discontinuities numerically is developed using mathematical morphology. This method is shown to properly identify the edges of bubbles in multiphase flow. © 2010 Elsevier B.V.

author list (cited authors)

  • Brenner, T. A., Fontenot, R. L., Cizmas, P., O'Brien, T. J., & Breault, R. W.

citation count

  • 10

publication date

  • October 2010