... 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. The results of numerical...

... 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...

... ferroelastic transitions Galerkin method Ginzburg-Landau theory martensitic transformations nonlinear differential equations partial differential equations thermoelasticity ferroelastic dynamics phase transformations coupled dynamic thermoelasticity optimal approximation extended proper...

... 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...

... flow Galerkin method inviscid compressible flow SUPG formulation stabilization parameter YZβ shock-capturing edge-based data structure The streamline-upwind/Petrov–Galerkin (SUPG) formulation of compressible flows is widely used in finite element flow computations. The formulation...

... ⋅ ∇ + κ k 2 + V − ε ) v ] ) = 0 In Eq. 6 we have used the idea of Petrov–Galerkin methods and have dropped the ε term in the weighting function slot of the additional stabilization term. This helps in reducing the order of the resulting eigenvalue problem from quadratic...

... 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...

... 2007 19 05 2008 elasticity flow instability fluid oscillations Galerkin method gyroscopes plates (structures) wakes The term web refers to thin uniaxially tensioned flexible media transported through a series of rollers while remaining unsupported at the remaining edges...

... of Thermally Postbuckled Anisotropic Plates Using First-Order Shear Deformable Plate Theory ,” Comput. Struct. 0045-7949 , 63 ( 3 ), pp. 371 – 378 . Illanko , S. , 2002 , “ Vibration and Post-Buckling of In-Plane Loaded Rectangular Plates Using a Multiterm Galerkin’s Method ,” ASME J. Appl...

... 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...

... two parallel instances of the code and exchanging information between them. Some numerical examples are presented. flow instability flow simulation computational fluid dynamics Navier-Stokes equations mesh generation boundary-value problems iterative methods Galerkin method...

... Markov processes Gaussian noise white noise Fokker-Planck equation Galerkin method series (mathematics) eigenvalues and eigenfunctions boundary-value problems The response of nonlinear oscillators subjected to random excitations has been extensively studied over a period of several decades...

... 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...

... time in ( 1 ), concerning the variational basis of time integration algorithms for the initial-value structural dynamics problem. integration Galerkin method variational techniques functional analysis structural engineering 22 09 2003 15 02 2005...