Question #158693 on DOLFIN changed: https://answers.launchpad.net/dolfin/+question/158693
B. Emek Abali proposed the following answer: as fas as I know the "conservative"ness of the FVM is the divergence free solution. In fluid dynamics the solution is the velocity field and from the balance of mass (under the assumption of constant in time and constant in space mass density) divergence of velocities is zero can be found. This (widely known as incompressibility) condition is added into variational formulation in fem and already implemented into the fvm (as constant volume). Therefore any element type in fem with constant velocity (constant form functions) is the fvm formulation (at least to me as an engineer :) But do not forget two assumptions in the formulations, one is the Gauss theorem is used, so risky but we assumed the continuity of the solution. Against that ALSO the evaluation on the boundaries (of each element) are popular (discontinuous galerkin) and FEniCS perfectly allow all these studies. Another tiny (but actually a big headache) assumption is the mass density is constant in time assumption. This is done also in somehow other ways in fem (in the formulation) in fvm (not even mentioned). -- You received this question notification because you are a member of DOLFIN Team, which is an answer contact for DOLFIN. _______________________________________________ Mailing list: https://launchpad.net/~dolfin Post to : dolfin@lists.launchpad.net Unsubscribe : https://launchpad.net/~dolfin More help : https://help.launchpad.net/ListHelp
