... 08 2009 14 09 2009 boundary layers Couette flow film flow Galerkin method This study is a theoretical treatment of the pressure-driven high-speed transient two-dimensional coating flow over a moving substrate of arbitrary shape. The fluid is assumed to emerge from a channel...

... water equations (SWEs) equation-free/Galerkin-free proper orthogonal decomposition (POD) Galerkin-projection projective integration computational fluid dynamics flow instability Galerkin method partial differential equations reduced order systems 01 03 2008 16 04 2009 23...

... were compared to those predicted by the model and found to be in good agreement. 31 05 2007 16 04 2008 29 07 2008 drops finite element analysis Galerkin method jets Drop formation in jets of non-Newtonian fluids is a commonly observed phenomenon. Applications...

... is formed and the flow further downstream exhibits a shock. The influence of exit conditions on shock formation is examined in detail. boundary layers film flow Galerkin method liquid films This study focuses on the influence of exit conditions and gravity on the high-speed thin-film flow...

... estimation of the modal amplitudes from real-time surface pressure measurements. 16 08 2006 22 01 2007 subsonic flow confined flow flow control Galerkin method Navier-Stokes equations flow visualisation laser velocimetry pressure measurement nonlinear differential equations...

... of applications will become accessible methods for cavitation prediction based on algebraic stability criteria combined with LES. Turbulent channel flow at Re = 180 bubbles two-phase flow cavitation flow simulation external flows finite element analysis Galerkin method least squares...

...-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...

... discontinuous functions χ i were used to represent the pressure field. 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...

... 14, 2002; revised manuscript received June 6, 2003. Associate Editor: A. K. Prasad. 14 January 2002 06 June 2003 12 01 2004 rotational flow finite element analysis Galerkin method This paper addresses the numerical simulation of free-surface flows in rotating...

..., 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...

... September 2001 02 November 2001 partial differential equations Galerkin method error analysis computational fluid dynamics numerical analysis The optimization, control, and characterization of an engineering component or system requires the prediction of certain “quantities...

... ENGINEERING . Manuscript received by the Fluids Engineering Division September 13, 2001; revised manuscript received October 29, 2001. Associate Editor: J. Katz. 13 September 2001 29 October 2001 flow simulation stochastic processes polynomials Galerkin method Navier-Stokes equations...

.... Associate Editor: K. B. M. Q. Zaman. 27 June 2001 10 August 2001 nozzles jets Galerkin method Navier-Stokes equations numerical analysis pressure sprays Nozzles are used in many practical applications, for example in combustion chambers and spray driers, where...

... 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...