Finite Elements in Fluids, Volume 5Richard H. Gallagher Wiley., 1984 - Finite element method Vols. 1-3 contain selected papers and revisions of papers from the International Symposium on Finite Element Methods in Flow Problems; vol. 4 contains selected papers from the International Conference on Finite Elements in Flow Problems; vols. 5- contain revisions of selected papers presented at the International Symposium of Finite Elements for Flow Problems. |
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Page 33
... coefficients resulted from Equation 2.25 ; these matrices are presented in detail in ( 20 ) . At element level the coefficients α , and ẞ are all independent . Thus , the first variation of * with respect to these independent variables ...
... coefficients resulted from Equation 2.25 ; these matrices are presented in detail in ( 20 ) . At element level the coefficients α , and ẞ are all independent . Thus , the first variation of * with respect to these independent variables ...
Page 245
... coefficients at four points on the surface of the cylinder . The pressure coefficient C , is computed as : P - Po Cp = ( 10.37 ) where Po is the reference pressure and pressure obtained at point a is used . The oscillation phase lag ...
... coefficients at four points on the surface of the cylinder . The pressure coefficient C , is computed as : P - Po Cp = ( 10.37 ) where Po is the reference pressure and pressure obtained at point a is used . The oscillation phase lag ...
Page 421
... coefficients of the velocity and free surface basis functions , the time discretization error & of the trapezoid - rule corrector between 1-1 and t is , by Taylor series expansion ( Gresho et al . ( 16 ) ) , Si = ( ti - ti - 1 ) 3 d3 ...
... coefficients of the velocity and free surface basis functions , the time discretization error & of the trapezoid - rule corrector between 1-1 and t is , by Taylor series expansion ( Gresho et al . ( 16 ) ) , Si = ( ti - ti - 1 ) 3 d3 ...
Contents
Finite Elements in Fluid MechanicsA Decade of Progress | 5 |
Analysis of Stokes Flow by a Hybrid Method | 27 |
Domain Decomposition for Elliptic Problems | 87 |
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applied basis functions bilinear boundary conditions boundary layer calculation coefficients composite element computational conjugate gradient algorithm constant constraint convective convergence coordinates cylinder defined denotes derivatives Dirichlet problems discrete domain Edited by R. H. Elements in Fluids Euler equations finite difference finite element analysis finite element method flow problems formulation free surface flow Galerkin Gresho grid hydraulic fracture incompressible initial iteration J. T. Oden Kawahara Kawai Lagrange multiplier linear matrix mesh Meth Navier-Stokes equations nodes nonlinear Numerical Methods numerical solution O. C. Zienkiewicz obtained oscillation parameter penalty method Poisson problems pressure primitive equations procedure R. H. Gallagher region Reynolds number scheme Scriven Section selective reduced integration shown in Figure solve stability step two-dimensional u₁ V₁ variables variational vector velocity field vertical viscous viscous flow wave weighted residuals Wiley & Sons y₁ дф