Hamiltonian fluid reductions of kinetic equations in plasma physics
AMO Seminar
3:30 pm
Jorgensen Hall Room: 145
Speaker: Maxime Perin, Aix-Marseille Université, Université de Toulon, Marseille
Abstract:
A wide variety of plasmas can be considered as weakly collisional. Such plasmas are accurately described by kinetic equations, which give the dynamics of the distribution function of particles in phase space. Due to the high dimensionality of the problem, solving these equations for realistic values of the physical parameters is impossible with nowadays computing power and storage capabilities.
Fluid reductions of kinetic equations aim at replacing the distribution function defined in phase space with more tangible fluid quantities such as the plasma density and temperature which are defined in configuration space solely. This allows one to gain physical insight into the phenomenon under investigation and reduce the amount of data that is being handled.
I will present a reduction procedure which preserves the Hamiltonian structure of the parent kinetic model. This is important in order to ensure that no non-physical dissipation is introduced in the resulting fluid model. I will focus on the framework and main concepts of the method and finally apply it to build a Hamiltonian fluid model for the first three fluid moments of the Vlasov distribution.
Abstract:
A wide variety of plasmas can be considered as weakly collisional. Such plasmas are accurately described by kinetic equations, which give the dynamics of the distribution function of particles in phase space. Due to the high dimensionality of the problem, solving these equations for realistic values of the physical parameters is impossible with nowadays computing power and storage capabilities.
Fluid reductions of kinetic equations aim at replacing the distribution function defined in phase space with more tangible fluid quantities such as the plasma density and temperature which are defined in configuration space solely. This allows one to gain physical insight into the phenomenon under investigation and reduce the amount of data that is being handled.
I will present a reduction procedure which preserves the Hamiltonian structure of the parent kinetic model. This is important in order to ensure that no non-physical dissipation is introduced in the resulting fluid model. I will focus on the framework and main concepts of the method and finally apply it to build a Hamiltonian fluid model for the first three fluid moments of the Vlasov distribution.