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APPLICATION OF THE PSEUDOSPECTRAL METHOD TO THERMOHYDRODYNAMIC LUBRICATION
Author(s) -
SCHUMACK M. 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(19961215)23:11<1145::aid-fld459>3.0.co;2-v
Subject(s) - legendre polynomials , pseudospectral optimal control , mathematics , convergence (economics) , lubrication , exponential function , chebyshev pseudospectral method , gauss pseudospectral method , pseudo spectral method , slider , mathematical analysis , orthogonal polynomials , physics , engineering , classical orthogonal polynomials , mechanical engineering , thermodynamics , fourier analysis , chebyshev equation , fourier transform , economics , economic growth
The pseudospectral method is used for the first time to solve the thermohydrodynamic lubrication equations for a slider bearing. The orthogonal polynomials used in the series expansions are Lagrangian interpola nts derived from a Legendre basis. Exponential convergence to exact solutions is demonstrated and favourable comparisons with previous work are made.