A primitive variable finite–volume method for incompressible viscous magnetohydrodynamic flows. (4th August 2014)

• Record Type: Journal Article
• Authors: Agarwal, Ramesh K.
• Is Part Of: International journal of computer applications technology. Volume 11:Number 3-5(1998)
• Page Start: 170
• Page End: 176
• Publication Date: 2014-08-04
• Subjects: finite volume method -- incompressible flow -- viscous flow -- magnetohydrodynamic flow -- MHD flow -- magnetic field; Technology -- Data processing -- Periodicals; 620.00285
• Languages: English
• ISSNs: 0952-8091

Abstract

A recently developed numerical method is employed for computing the numerical solutions of the incompressible Navier–Stokes equations in the presence of a magnetic field. The method is based on the pressure correction approach, but employs a regular grid finite–volume variable arrangement instead of the usual staggered grid arrangement. The pressure equation is derived such that effects which promote the well–known checkerboard instability are not present. A relevant compatibility constraint on pressure is satisfied by Neumann boundary conditions obtained using a vector identity. The transport equations of the magnetic field with solenoidal condition are solved with a similar approach. The unified computational framework is thus developed for the solution of incompressible viscous magnetohydrodynamic flows. Implemented in a second–order–accurate finitevolume code, the algorithm is used to compute the magnetohydrodynamic flow in a pipe. Numerical solution is compared with existing analytical and computational results for various Hartmann numbers.