Abstract
ABSTRACT This paper presents a class of iterative methods for the solution of linear equations like those that arise in reservoir simulators. The methods are generalisations of the incomplete LU-factorisation technique introduced earlier. It can be applied to equations generated by the usual 5- and 7-point finite difference approximations as well as to those generated by special 9-, 11-, 19-and 27-points approximations. Application of the method to equations where the band structure of the matrix has been spoiled, e.g. by wells that are perforated in more gridblocks or by an irregular gridblock structure, is discussed and modifications for running efficiently on vector processors are given. Numerical examples for well-known testproblems are presented and compared with results of other methods.
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