Impossibility of unconditional stability and robustness of diffusive acceleration schemes

Conference · Thu Jan 01 00:00:00 EST 1998

OSTI ID:634105

Azmy, Y Y

The authors construct a problem for which exists no preconditioner with a cell-centered diffusion coupling stencil that is unconditionally stable and robust. In particular they consider an asymptotic limit of the Periodic Horizontal Interface (PHI) configuration wherein the cell height in both layers approaches zero like {sigma}{sup 2} while the total cross section varies like a in one layer and like 1/{sigma} in the other layer. In such case they show that the conditions for stability and robustness of the flat eigenmodes of the iteration residual imply instability of the modes flat in the y-dimension and rapidly varying in the x-dimension. This paper is important for radiation transport studies.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC05-96OR22464
• OSTI ID: 634105
• Report Number(s): ORNL/CP-96473; CONF-980403-; ON: DE98004061; TRN: 98:009765
• Resource Relation: Conference: Radiation protection and shielding topical meeting: technologies for the new century, Nashville, TN (United States), 19-23 Apr 1998; Other Information: PBD: Jan 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
RADIATION TRANSPORT
CALCULATION METHODS
NODAL EXPANSION METHOD
DISCRETE ORDINATE METHOD
EIGENVALUES
MATRICES