Why do numerical shockwaves jump to the wrong conclusions?

SCAIM Seminar
October 16, 2012 7:30 pm

Speaker:  Daniel W. Zaide, Department of Mechanical Engineering, UBC

URL for Speaker:  http://danielzaide.com/

Location:  ESB 4133

Intended Audience:  Public

Shock capturing schemes have been around for more than sixty years and have been successfully applied to a wide range of problems, however, often, in compressible fluid flow simulations, large errors appear as a result of the presence of shockwaves. These errors do not disappear with grid refinement or higher-order schemes and cast doubt on this otherwise robust and reliable class of methods.

Four examples these numerical errors will be presented: sub-cell shock position in the stationary shock, the slowly moving shock, the wall heating problem, and the carbuncle phenomenon. By examining each of these phenomena, several key ideas will be discussed and potential cures will be presented.”