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EFFICIENT COMPUTATIONS USING UPWIND BIASED SCHEMES
Author(s) -
NICOLA C. DE,
IACCARINO G.,
TOGNACCINI R.
Publication year - 1996
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/(sici)1097-0363(19960630)22:12<1153::aid-fld400>3.0.co;2-v
Subject(s) - upwind scheme , inviscid flow , discretization , mathematics , computation , conjugate gradient method , computational fluid dynamics , flow (mathematics) , hypersonic speed , mathematical optimization , algorithm , mathematical analysis , geometry , mechanics , physics
A new multiblock unfactored implicit upwind scheme for inviscid two‐dimensional flow calculations is presented. Spatial discretization is carried out by means of an upwind first‐order method; an original extension to higher accuracy is also presented. The integration algorithm is constructed in a ‘δ’ form that provides a direct derivation of the scheme and leads to an efficient computational method. Fast solutions of the linear systems arising at each time step are obtained by means of the bi‐conjugate gradient stabilized technique. The computational results for super/hypersonic steady state flows illustrate the efficiency and accuracy of the algorithm.