how to analyze the temporal dissipation and dispersion errors?

hadesmajesty · April 14, 2009, 10:26

how to analyze the dissipation and dispersion errors generated by temporal discretisation?

If von Neumann analysis is used, for multistep schemes, finally a polynomial is obtained. There are one or more roots of such polynomial. Then how to analyze the dissipation and dispersion errors?

Thank you.

harishg · April 14, 2009, 12:16

Look for papers by Tam et. al on dispersion relation preserving schemes. He has given a detailed analysis on the analysis of temporal discretization errors. Also Hirsch has a section on the same topic in vol. 1

hadesmajesty · April 22, 2009, 23:15

thank you so much

April 14, 2009, 10:26	how to analyze the temporal dissipation and dispersion errors?	#1
hadesmajesty Member Edison Join Date: Mar 2009 Posts: 40 Rep Power: 17	how to analyze the dissipation and dispersion errors generated by temporal discretisation? If von Neumann analysis is used, for multistep schemes, finally a polynomial is obtained. There are one or more roots of such polynomial. Then how to analyze the dissipation and dispersion errors? Thank you.

April 14, 2009, 12:16		#2
harishg Senior Member N/A Join Date: Mar 2009 Posts: 189 Rep Power: 17	Look for papers by Tam et. al on dispersion relation preserving schemes. He has given a detailed analysis on the analysis of temporal discretization errors. Also Hirsch has a section on the same topic in vol. 1

April 22, 2009, 23:15		#3
hadesmajesty Member Edison Join Date: Mar 2009 Posts: 40 Rep Power: 17	thank you so much