TELEMAC-MASCARET Forum: Mass conservation in Method of Characterstics (1/1)

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TOPIC: Mass conservation in Method of Characterstics

Mass conservation in Method of Characterstics 12 years 8 months ago #4104

m.mahgoob OFFLINE Senior Boarder Posts: 106	As far as I know, the method of characteristics does not ensure the mass conservation. However, it is still used widely by TELEMAC. Have you edited this method to be mass conservative or you just leave it in TELEMAC as one of the options that could be suitable to some cases.
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Re: Mass conservation in Method of Characterstics 12 years 8 months ago #4105

jmhervouet

Hello,

You are right, we now tend to use conservative schemes for tracers, but I still like the method of characteristics for the advection of velocity, for its unconditional stability, monotonicity and the fact that there is very little numerical diffusion when you use large time steps. There is a variant called "weak formulation of the method of characteristics" which is mass-conservative and has wonderful properties, but there is a technical problem of integration which requires advection of Gauss points. It is known in the USA as ELLAM, but originates from LNHE in France. We did not implement it yet in Telemac.

With best regards,

Jean-Michel Hervouet

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