... movement prohibit the steady-state conditions from being achieved. However, for the case of a flat substrate with a bump, a steady state exists. 21 09 2007 07 08 2009 14 09 2009 boundary layers Couette flow film flow Galerkin method In this appendix, the first five shape...

... ,” Lecture Notes in Computational Science and Engineering , Vol. 26 , Springer , Berlin , pp. 131 – 142 . computational fluid dynamics flow instability Galerkin method partial differential equations reduced order systems shallow water equations (SWEs) equation-free/Galerkin-free proper...

... , and t = 12.80 ± 0.09 ms . The dashed lines indicate the uncertainty in model predictions. In summary the data in Figs. 14 15 16 17 18 19 demonstrate that model predictions accurately match experimental data. drops finite element analysis Galerkin method jets...

... of velocity magnitude ( a ) and shear-stress distribution and streamlines ( b ) of flow at Re = 100 , Fr = 0.4 , α = 0 , and ε = 0.01 . The exit condition is parabolic. boundary layers film flow Galerkin method liquid films This study focuses...

... estimation of the modal amplitudes from real-time surface pressure measurements. subsonic flow confined flow flow control Galerkin method Navier-Stokes equations flow visualisation laser velocimetry pressure measurement nonlinear differential equations aerodynamics The flow...

... of applications will become accessible methods for cavitation prediction based on algebraic stability criteria combined with LES. bubbles two-phase flow cavitation flow simulation external flows finite element analysis Galerkin method least squares approximations Runge-Kutta methods Weibull...

...-squares strategy is employed to avoid the well-known difficulties of the classical Galerkin method in isochoric flows. It circumvents the Babuška-Brezzi condition and handles the asymmetry of the advective operator in high advective flows. Some two-dimensional (2D) viscoplastic flows through a 4:1 planar...

... and regenerated according to a survival time randomly generated from the material’s relaxation spectrum. The Eulerian form of the evolution equations for the polymer configurations is spatially discretized using the discontinuous Galerkin method. The algorithm is tested on benchmark contraction domains...

... are tested and validated on sample problems involving two-phase flows with density ratios of the order of 10 3 and viscosity ratios as high as 1.6 × 10 5 . 14 10 2004 12 04 2005 21 04 2005 Galerkin method finite element analysis computational fluid dynamics finite volume methods...

...Ali Arefmanesh; Mohammad Najafi; Hooman Abdi The meshless local Petrov-Galerkin method has been modified to develop a meshless numerical technique to solve computational fluid dynamics and heat transfer problems. The theory behind the proposed technique, hereafter called “the meshless control...

.... The corresponding weighted residuals of the Galerkin’s method are: (8) R mr i = ∫ Ω ¯ ρ v   ∂ u ∂ z − w 2 r + u   ∂ u ∂ r ϕ i + ∂ ϕ i ∂ z   τ rz + ϕ i r   τ θ θ + ∂ ϕ...

... Newtonian analytical solutions. Typical results are presented to demonstrate the difference between Newtonian and inelastic model fluids. rotational flow finite element analysis Galerkin method This paper addresses the numerical simulation of free-surface flows in rotating cylindrical-shaped...

..., 2001; revised manuscript received July 29, 2002. Associate Editor: J. S. Marshall. 25 June 2001 29 July 2002 22 01 2003 hydraulic systems transmission lines pipe flow flow simulation finite element analysis pressure transients state-space methods Galerkin method...

..., is the discontinuous Galerkin method (Machiels et al. 27 ). The variational origin of the discontinuous Galerkin approach leads naturally to rigorous output bounds for Method I a posteriori error estimators; the Method II approach is also directly applicable. Under our affine assumption, off-line/on-line...

.... , 344 , pp. 95 – 136 . Karniadakis , G. E. , 1995 , “ Towards an Error Bar in CFD ,” ASME J. Fluids Eng. , 117 , pp. 7 – 9 . flow simulation stochastic processes polynomials Galerkin method Navier-Stokes equations series (mathematics) In the last decade there has been...

.... Associate Editor: K. B. M. Q. Zaman. 27 June 2001 10 August 2001 nozzles jets Galerkin method Navier-Stokes equations numerical analysis pressure sprays In the operation of such type of nozzles, the most interesting phenomenon is the formation of an air core within...

... solid boundary were determined by the basic governing equation. The Petrov-Galerkin Method was applied to yield the solutions that satisfy the boundary conditions in an integral sense, and it improved the stability and accuracy of the numerical solutions greatly. A new scheme was also proposed...