Lagrangian description of the fluid flow with vorticity in the relativistic cosmology
نویسندگان
چکیده
relativistic cosmology Hideki Asada∗ and Masumi Kasai† Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan (April 2, 1999) We develop the Lagrangian perturbation theory in the general relativistic cosmology, which enables us to take into account the vortical effect of the dust matter. Under the Lagrangian representation of the fluid flow, the propagation equation for the vorticity as well as the density is exactly solved. Based on this, the coupling between the density and vorticity is clarified in a non-perturbative way. The relativistic correspondence to the Lagrangian perturbation theory in the Newtonian cosmology is also emphasized.
منابع مشابه
Direct Numerical Simulation of the Wake Flow Behind a Cylinder Using Random Vortex Method in Medium to High Reynolds Numbers
Direct numerical simulation of turbulent flow behind a cylinder, wake flow, using the random vortex method for an incompressible fluid in two dimensions is presented. In the random vortex method, the primary variable is vorticity of the flow field. After generation on the cylinder wall, it is followed in two fractional time step in a Lagrangian system of coordinates, namely convection and diffu...
متن کاملGeneral relativistic hydrodynamic flows around a static compact object in final stages of accretion flow
Dynamics of stationary axisymmetric configuration of the viscous accreting fluids surrounding a non-rotating compact object in final stages of accretion flow is presented here. For the special case of thin disk approximation, the relativistic fluid equations ignoring self-gravity of the disk are derived in Schwarzschild geometry. For two different state equations, two sets of self-consistent an...
متن کاملLagrangian Perturbation Approach to the Formation of Large–scale Structure
The present lecture notes address three columns on which the Lagrangian perturbation approach to cosmological dynamics is based: 1. the formulation of a Lagrangian theory of self–gravitating flows in which the dynamics is described in terms of a single field variable; 2. the procedure, how to obtain the dynamics of Eulerian fields from the Lagrangian picture, and 3. a precise definition of a Ne...
متن کاملNumerical Simulation of the Incompressible Laminar Flow Over a Square Cylinder
Simulation of fluid flow over a square cylinder can be performed in order to understand the physics of the flow over bluff bodies. In the current study, incompressible laminar flow over a confined square cylinder, with variable blockage factor has been simulated numerically, using computational fluid dynamics (CFD). The focus has been on vortex-induced vibration (VIV) of the cylinder. Vorticity...
متن کاملUltra- Relativistic Solitons with Opposing Behaviors in Photon Gas Plasma
We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...
متن کامل