... by nonequilibrium behavior, and we use a stabilized formulation to address the related challenges in the context of RANS modeling. The formulation is based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/Petrov-Galerkin methods, supplemented with the DRDJ stabilization. Judicious determination...

... by Galerkin’s method. Numerical investigations of dynamic stability for the family of cylindrical shells with regard to analytical solution are carried out. Moreover, finite element model analysis is presented, and the results of the numerical calculations are shown in figures. Basic dimensions...

... by the balance of linear momentum. The natural frequencies for the in-plane and out-of-plane vibrations are calculated by both the Galerkin method and differential quadrature method. It can be found that natural frequencies of the in-plane vibrations are much higher than those in the out-of-plane case, which...

... on the dynamics involving mechanically and thermally-induced phase transformations and the hysteresis effects induced by such transformations are presented. Chebyshev approximation eigenvalues and eigenfunctions elastic hysteresis ferroelastic transitions Galerkin method Ginzburg-Landau theory...

... 2009 compressible flow Galerkin method Mach number supersonic flow variational techniques supersonic flows variable subgrid scale formulation SUPG formulation YZβ shock-capturing cylinders and spheres The streamline-upwind/Petrov–Galerkin (SUPG) formulation...

... are computed around five times faster, reducing the total run time by about 40%. compressible flow Galerkin method inviscid compressible flow SUPG formulation stabilization parameter YZβ shock-capturing edge-based data structure The streamline-upwind/Petrov–Galerkin (SUPG...

... of the two methods for a model electronic potential for which analytical results are available. 27 11 2007 10 07 2008 14 01 2009 convergence of numerical methods finite element analysis Galerkin method least squares approximations Schrodinger equation Schrödinger wave...

... to the magnetoelastic modes of vibration of the system is derived. Approximate solutions based on Galerkin method and an adjoint formulation are also presented and compared with the semi-analytical results. Root loci plots are computed as a function of the proper dimensionless parameters. The behavior of the system...

... for three different possible boundary conditions, and one examined in detail. Galerkin’s method is applied to reformulate the governing equation of the cracked plate into time dependent modal coordinates. Nonlinearity is introduced by appropriate formulations introduced by applying Berger’s method...

... fashion. In Sec. 2 , the details of the web and fluid models are presented. In Sec. 3 , the equations of motion are discretized using Galerkin’s method. The solution of the fluid flow problem using the vortex-lattice method and the details of the coupled eigenvalue problem are presented in Sec. 4...

... Galerkin method mechanical stability Newton-Raphson method partial differential equations shells (structures) vibrations shell panels stability limit points Galerkin technique axial compression The changes in the plate and shell panel vibration characteristics due to the interaction...

... elastic foundation assumption is applied to the drill tip to approximate the time-varying boundary conditions in the drilling process. Galerkin’s method is used to formulate the characteristic equation in a discrete form. The variation of the instability regions of the drill system is solved and analyzed...

.... The converged results confirm the accuracy of the previous simulations and demonstrate that accurate solutions for these interaction problems can be obtained with numerical methods that are applicable in three dimensions. 04 10 2006 02 01 2007 cracks inclusions stress effects Galerkin...

...L. Noels; R. Radovitzky Discontinuous Galerkin methods are commonly derived by seeking a weak statement of the governing differential equations via a weighted-average approach allowing for discontinuous fields at the element interfaces of the discretization. In order to ensure consistency...

... problems iterative methods Galerkin method 19 07 2005 28 02 2006 2006 American Society of Mechanical Engineers ...

... formulas that allow one to significantly reduce the computational effort associated with the implementation of the eigenfunction expansion have been derived. Some useful results, which will be used in the following, are briefly summarized here. According to the Galerkin method, the N + 1...

... on the stability and sensitivity to imperfection under dynamic step loading was carried out. It was found that the dynamic buckling can indeed be derived from the nonlinear static solution. 25 05 2005 07 12 2005 shells (structures) buckling mechanical stability Galerkin method Newton-Raphson...

... of motion, and Galerkin’s method is employed to discretize the partial differential equations. In the case when the initial height of the nonflat disk is sufficiently large, multiple equilibrium positions can exist, among them the two stable one-mode solutions P 0 1 and P 0 3 are of particular interest...

...F. Lebon; R. Rodríguez-Ramos; J. C. Lopez-Realpozo; J. Bravo-Castillero; R. Guinovart-Diaz; A. Mesejo This paper is devoted to the homogenization of a nonlinear one-dimensional problem as a particular case of laminated composite and its solution by a Wavelet-Galerkin method. This approach...

... problem. integration Galerkin method variational techniques functional analysis structural engineering 22 09 2003 15 02 2005 Any choice of parameters ℓ 1 , ℓ 2 , and ℓ 3 yields second-order accurate algorithms; this can...