Finite Elements in Fluids, Mathematical Foundations, Aerodynamics and LubricationRichard H. Gallagher, J. Tinsley Oden, C. Taylor, O. C. Zienkiewicz |
Contents
Weighted Residual Methods and their Relation to Finite Element | 1 |
Accuracy and Convergence of Finite ElementGalerkin Approxi | 31 |
Application of the PseudoFunctional Finite Element Method | 55 |
Copyright | |
10 other sections not shown
Other editions - View all
Common terms and phrases
accuracy aerofoil airfoil analytic application approximation B₁ boundary conditions boundary layer calculation collocation method collocation points compressible flow computation constant convergence coordinate defined density derivatives domain duct elliptic energy error estimates Figure film thickness finite difference method finite element analysis finite element method finite element solution formulation Galerkin method global hydrodynamic hydrodynamic lubrication incompressible integral equation interpolation iteration journal bearings Kutta condition linear loading lubrication problem Mach number mathematical matrix Mech mesh nodal nodes non-linear nozzle numerical solution obtained operator orthogonal collocation partial differential equations patch perturbation pinch plane plasma polynomials potential Proc procedure pseudo-functional radial Reference region Reynolds equation Reynolds number satisfies singularity solved space spline steady stream function stream line subsonic supersonic surface techniques temperature theorem theory tion transonic trial functions two-dimensional upwash variables variational principle vector velocity viscosity vorticity wave weighted residual ду дх