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Influence matrix technique for the numerical spectral simulation of viscous incompressible flows
Author(s) -
Phillips Timothy N.,
Soliman Ibrahim M.
Publication year - 1991
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690070103
Subject(s) - compressibility , newtonian fluid , mathematics , matrix (chemical analysis) , non newtonian fluid , incompressible flow , flow (mathematics) , degrees of freedom (physics and chemistry) , mechanics , geometry , physics , materials science , thermodynamics , composite material
A spectral algorithm based on the influence matrix technique is desclibed for solving numerically the flow of incompressible viscous fluids. The algorithmic development is for both Newtonian and non‐Newtonian flows. To investigate the performance of the method several test problems are solved. Accurate results are obtained with relatively few degrees of freedom.