Augmented proper orthogonal decomposition for problems with moving discontinuities

✍ Scribed by Thomas A. Brenner; Raymond L. Fontenot; Paul G.A. Cizmas; Thomas J. O'Brien; Ronald W. Breault

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 964 KB
• Volume: 203
• Category: Article
• ISSN: 0032-5910
• DOI: 10.1016/j.powtec.2010.03.032

✦ Synopsis

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.