... difference method, and the implicit finite difference method; advantages and disadvantages of each method are discussed. Numerical results for the linear model can be verified using the exact wave solution, and those for the nonlinear models are compared with each other since there are no exact solutions...

... 12 2011 13 12 2011 deformation finite difference methods membranes Concerning a simulation scale, the nonzero Reynolds number flows require that the computational mesh is set out over the entire domain if the partial differential equation is numerically solved for FSI problems...

... electrostatic force. In this study, this problem is resolved by modeling the electrostatic system using a continuous model and solving the resulting governing equation of motion using a hybrid scheme comprising the differential transformation method and the finite difference method. The feasibility...

... biomagnetism channel flow differential equations finite difference methods friction haemorheology heat transfer magnetisation magnetocaloric effects non-Newtonian fluids viscoelasticity biomagnetic fluid non-Newtonian model visco-elasticity stretching walls The study of biomagnetic...

...), and a 2 = − 40   m / s 2 (solid line) ( v 1 = v 2 = 50   m / s ) beams (structures) finite difference methods finite element analysis interpolation iterative methods laminates oscillations vibrations The problem of calculating...

...M. Abbaspour; K. S. Chapman The fully implicit finite-difference method is used to solve the continuity, momentum, and energy equations for flow within a gas pipeline. This methodology (1) incorporates the convective inertia term in the conservation of momentum equation, (2) treats...

... to be possible for certain drive inner geometry configurations. 24 04 2006 16 03 2007 optical disc storage disc drives resonance vibrations finite element analysis finite difference methods rotating disk dynamics disk modes airflow-induced vibration critical speed resonance drive...

.... 09 09 2004 25 01 2006 turbines blades beams (structures) vibrations crack detection finite difference methods Young's modulus Monte Carlo methods manufacturing processes Effective failure detection requires a good understanding of the characteristics of the monitored...

... of the up-wind finite difference method, using combinations of explicit and implicit methods for the numerical integration of the different balance equations. An adaptive nodalization scheme is implemented, minimizing the error of the propagation of small perturbations through the discretized volumes...

... method finite difference methods nonlinear dynamical systems The behavior of shell-like structures under buckling is characterized by a limit point with a snap through phenomenon. Thus these structures are sensitive to initial imperfection, and insight into the post-buckling stage is essential...

... cavitation bubbles pipe flow finite difference methods two-phase flow In order to improve the reliability and the performance of hydraulic systems it is important to be able to predict the onset and the degree of cavitation, during transient flows. Several authors have considered some particular...

.... Acoustic wave propagation in a free disk is developed here adopting a modal analysis validated by a finite difference method. Transient response to prescribed pressure and prescribed acceleration at the boundary is analyzed. Since the primary goal...

... 2001 25 Sep 2002 11 06 2003 modelling finite difference methods finite element analysis dynamics In the theoretical and computational modeling of nanoscale devices and phenomena, e.g., nanooscillators and crack propagation in solids, recent work, 1 2 , has emphasized...

... an increase in particle size mysteriously favors such an easy movement. granular materials finite difference methods fracture mechanics bifurcation stress analysis shear strength 18 April 2000 08 January 2001 Contributed by the Applied Mechanics Division of THE AMERICAN...

... a body force term due to van der Waals attractions. The governing equation for the film thickness was solved by finite difference method as part of an initial value problem for spatial periodic boundary conditions. A decrease in the cylinder radius will induce a stronger lateral capillary force and thus...

... of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . wave propagation elasticity stress analysis shear deformation compressive strength finite difference methods Static azimuthal shear of a compressible hyperelastic solid has been considered by various authors and recently...