Premium
The parametrized strongly implicit method for solving elliptic difference equations
Author(s) -
Lin Avi
Publication year - 1985
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650050407
Subject(s) - mathematics , diagonal , point (geometry) , heat transfer , finite difference method , elliptic curve , alternating direction implicit method , mathematical analysis , geometry , physics , mechanics
A new method for solving elliptic difference equations is derived based on the strongly implicit method. This parametrized strongly implicit method has three free parameters which may be functions of the field's nodal point. The method has some resemblance to the SOR techniques, but in the present method the off‐diagonal entries are also over‐relaxed. The main application of this method is for transport equations such as those governing the fluid flow and heat transfer fields.