User's manual for MGMHD: A multigrid three-dimensional computer code for the analysis of magnetohydrodynamic generators and diffusers

Technical Report · Wed Nov 01 04:00:00 EST 1989

DOI:https://doi.org/10.2172/5407102· OSTI ID:5407102

Bouillard, J. X.; Krazinski, J. L.; Vanka, S. P.; Berry, G. F.

The Multigrid Magnetohydrodynamic (MGMHD) computer code is an updated and improved version of the single-grid Three-Dimensional Magnetohydrodynamic (TDMHD) code developed at Argonne National Laboratory in 1982 for the analysis of magnetohydrodynamic generators and diffusers. The new code retains the TDMHD formulation of three-dimensional partial differential equations for flow and electrical fields but incorporates an advanced multigrid solution algorithm. The magnetohydrodynamic equation set comprises the mass continuity equation, three momentum equations, the energy equation, two turbulence equations, and Maxwell's electrical equations. Turbulence is represented by a two-equation model in which partial differential equations are solved for the turbulence energy and its dissipation rate. Two unique features are provided in the MGMHD code: (1) a full approximation storage (FAS), block implicit multigrid, finite-difference solution procedure for the cross-stream hydrodynamic equations, and (2) an FAS multigrid finite-difference solution procedure for the cross-stream electrical potential equations. Detailed descriptions of the equations, solution procedures, options available to the user, and input instructions are presented. Numerical solutions of three sample problems (two Faraday generators and a diagonally connected generator) are discussed. For two of the problems, the multigrid and single-grid codes are compared in terms of computational speed and solution accuracy. 30 refs., 48 figs., 13 tabs.

• Research Organization: Argonne National Lab., IL (USA)
• Sponsoring Organization: DOE/FE
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 5407102
• Report Number(s): ANL/MHD-89/1; ON: DE90004453
• Country of Publication: United States
• Language: English

Related Subjects

30 DIRECT ENERGY CONVERSION
300100* -- Direct Energy Conversion-- MHD Generators
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
COMPUTER CODES
COMPUTER PROGRAM DOCUMENTATION
DIFFERENTIAL EQUATIONS
DIFFUSERS
DIRECT ENERGY CONVERTERS
DOCUMENT TYPES
EQUATIONS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
M CODES
MANUALS
MATHEMATICAL LOGIC
MHD GENERATORS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TURBULENCE