TY - GEN

T1 - A PRIMITIVE VARIABLE FINITE-VOLUME METHOD FOR INCOMPRESSIBLE VISCOUS MAGNETOHYDRODYNAMIC FLOWS

AU - Agarwal, Ramesh K.

N1 - Publisher Copyright:
© 1996 American Society of Mechanical Engineers (ASME). All rights reserved.

PY - 1996

Y1 - 1996

N2 - 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 for 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 finite-volume 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.

AB - 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 for 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 finite-volume 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.

UR - http://www.scopus.com/inward/record.url?scp=85169294883&partnerID=8YFLogxK

U2 - 10.1115/IMECE1996-0976

DO - 10.1115/IMECE1996-0976

M3 - Conference contribution

AN - SCOPUS:85169294883

T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)

SP - 207

EP - 213

BT - Fluids Engineering

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1996 International Mechanical Engineering Congress and Exposition, IMECE 1996

Y2 - 17 November 1996 through 22 November 1996

ER -