@misc{Noelle1991, author = {Noelle, Sebastian W. C.}, title = {On the Limits of Operator Splitting: Numerical Experiments for the Complex Burgers Equation.}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-4789}, number = {TR-91-03}, year = {1991}, abstract = {A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one-dimensional testproblems the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang- type operator splitting, and cannot be eliminated using flux limiters or small timesteps. {\bf Keywords:} High resolution methods, Godunovs method, operator splitting, complex Burgers equation. {\bf AMS:} 35: A40, L45, L60, L65, L, 67. 65: M05, M10.}, language = {en} }