Numerical Simulation of Incompressible Magnetohydrodynamic Flows
نویسندگان
چکیده
This paper presents numerical simulations of incompressible fluid flow problems in the presence of a magnetic field. The equations governing the flow consist of the Navier-Stokes equations of fluid motion coupled with Maxwell ́s equations of electromagnetics. The study of fluid flows under the influence of a magnetic field and with no free electric charges or electric fields is known as magnetohydrodynamics. The magnetohydrodynamics approximation is considered for the formulation of the nondimensional problem and for the characterization of similarity parameters. A finite-difference technique is used to discretize the equations. The simulation of incompressible magnetohydrodynamic fluid flows is illustrated by numerical problems for twodimensional cases.
منابع مشابه
Sharp Interface Algorithm for Large Density Ratio Incompressible Multiphase Magnetohydrodynamic Flows
Sharp Interface Algorithm for Large Density Ratio Incompressible Multiphase Magnetohydrodynamic Flows Report Title A numerical algorithm and the corresponding paralleled implementation for the study of magnetohydrodynamics (MHD) of large density ratio, three-dimensional multiphase flows at low magnetic Reynolds numbers have been developed. The algorithm employs the method of front tracking for ...
متن کاملSimulation of Gravity Wave Propagation in Free Surface Flows by an Incompressible SPH Algorithm
This paper presents an incompressible smoothed particle hydrodynamics (SPH) model to simulate wave propagation in a free surface flow. The Navier-Stokes equations are solved in a Lagrangian framework using a three-step fractional method. In the first step, a temporary velocity field is provided according to the relevant body forces. This velocity field is renewed in the second step to include t...
متن کاملLow Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the convergence of weak solutions of the compressible isentropic viscous magnetohydrodynamic equations to the weak solutions of the incompressible viscous magnetohydrodynamic equations is proved as the density becomes constant...
متن کاملNumerical Magneto Hydro Dynamic Flow Simulation of Velocity and Pressure for Electrically Conducting, Incompressible Fluids
In this paper, we report on numerical simulations of incompressible MagnetoHydroDdynamic flows by a two dimensional finite difference scheme associated to an appropriate projection method performed to characterize velocity-pressure formulations along the specified MHD duct by solving the set of differential equations of magnetohydrodynamics. In the present calculation, a working electrolytic so...
متن کاملThree-dimensional characteristic approach for incompressible thermo-flows and influence of artificial compressibility parameter
In this paper the characteristics of unsteady three-dimensional incompressible flows with heat transfer are obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows are derived from five governing equations (continuity equation, Momentum equations in three directions, and energy equation) and then results ...
متن کامل