Steady-state axisymmetric nonlinear magnetohydrodynamic solutions with various boundary conditions

Iterative Solutions to the Steady-state Axisymmetric Boundary-layer Equations under an Intense Pressure Gradient

Steady-state solutions to the complete axisymmetric Navier-Stokes equations are obtained by an iterative technique for an intense pressure-gradient force representative of the tropical cyclone. Solutions for the horizontal and vertical components of motion are compared for various horizontal and vertical mixing coefficients, drag coefficients, and Coriolis parameters. A multilevel model is used...

Nonlinear axisymmetric resistive magnetohydrodynamic equilibria with toroidal flow

The equilibrium of a resistive axisymmetric plasma with purely toroidal flow surrounded by a conductor is investigated within the framework of the nonlinear magnetohydrodynamic theory. It is proved that a) the poloidal current density vanishes and b) apart from an idealized case the pressure profile should vanish on the plasma boundary. For the cases of isothermal magnetic surfaces, isentropic ...

Magnetohydrodynamic state estimation with boundary sensors

Boundary Value Problems in Transport with Mixed and Oblique Derivative Boundary Conditions, Steady State and Transient Solutions

Abstract-The transport of heat or mass from a stationary mechum mto a Aowmg Ruld leads generally to boundary value problems m which the boundary con&ion (on the temperature or concentrahon) specdies the obhque denvahve or the mlxed second denvatlve with respect to the normal and tangentral dlrectlons on the soled surface[ I. 2) Such boundary value problems are generally nonselfadlomt It IS show...

Finding Multiple Solutions to Elliptic PDE with Nonlinear Boundary Conditions

In this paper, in order to solve an elliptic partial differential equation with a nonlinear boundary condition for multiple solutions, the authors combine a minimax approach with a boundary integral-boundary element method, and identify a subspace and its special expression so that all numerical computation and analysis can be carried out more efficiently based on information of functions only ...