The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (April 15, 2019) in the room K2 from 9:00 till 10:30. The talk will be given by Magnus Svärd. Please see the details below.
Speaker: Magnus Svärd
Title: On the physicality of the Navier-Stokes equations
Abstract: In the first part of the talk, a number of physically problematic features of the compressible Navier-Stokes equations will be discussed. These problems are caused by the way viscous effects are introduced into the model via a Lagrangian frame.
In the second part, a new model for viscous and heat conducting flows is proposed, that does not suffer from the same drawbacks as the standard Navier-Stokes equations. It is obtained by modelling diffusion, rather than viscosity, in an Eulerian frame. It can also be derived from the Boltzmann equation, if the latter is defined in an Eulerian frame.