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 -