The Stokes Basis for 3d Incompressible Flow Fields
نویسنده
چکیده
A family of eigenfields of a specific Stokes eigenproblem is described which constitute an orthonormal basis of a Sobolev-Hilbert space of incompressible flow fields obeying no-slip boundary conditions. This basis is used to describe a representation theorem for such fields, including spectral formulae for the kinetic energy and the enstrophy. Some other properties of the vorticity and the helicity of these basis fields are derived and a simple formula for reconstructing the velocity from the vorticity is described.
منابع مشابه
Incompressible laminar flow computations by an upwind least-squares meshless method
In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...
متن کاملAn Enhanced Flux Treatment in Solving Incompressible Flow in a Forward-Facing Step
The aim of this paper is to give a detailed effect of several parameters such as step height, Reynolds number, contraction ratio, and temperature difference between the entrance and solid boundaries, of a forward-facing step. An accurate length of separation and reattachment zones are achieved. A finite-volume method (FVM) has been developed to study incompressible flow in a forward-facing step...
متن کاملNumerical Study of the Mass Transfer Effects on the Flow and Thermal Fields Structures under the Influence of Natural Convection
In this paper, a numerical study has been carried out for coupled mass, momentum and heat transfer in the field under effects of natural convection. For this purpose, the unsteady incompressible Navier-Stokes equations with the terms of the Buoyancy forces (due to temperature gradients), energy conservation and concentration (mass) transfer equations have been simultaneously solved using approp...
متن کاملEvaluation of two lattice Boltzmann methods for fluid flow simulation in a stirred tank
In the present study, commonly used weakly compressible lattice Boltzmann method and Guo incompressible lattice Boltzmann method have been used to simulate fluid flow in a stirred tank. For this purpose a 3D Parallel code has been developed in the framework of the lattice Boltzmann method. This program has been used for simulation of flow at different geometries such as 2D channel fluid flow an...
متن کاملTurbulent Flow over Cars
In this paper the flow behaviour over a number of car bodies is studied. For this purpose the unsteady 2-D incompressible Navier-Stokes equations have been applied. After averaging and nondimensionalizing the equations, the system of equations has been transformed from the Cartesian (x-y) coordinates to a body fitted generalized (-) coordinate. As the flow is incompressible, the density in the ...
متن کامل