Sentence examples for numerical formulation to from inspiring English sources

A numerical formulation to solve the MHD problem with thermal coupling is presented in full detail.

In this paper we present a numerical formulation to solve the incompressible Navier Stokes equations written in a rotating frame of reference.

The numerical formulation is applied to study the response of cylindrical tanks subjected to ground motion records from the Mexico earthquake of September 19 , 1985

The results presented in this example may be utilized for validating future numerical formulations dedicated to the mechanical analysis of nonhomogeneous viscoelastic crack materials.

The numerical formulation uses superposition to construct the spanwise lift distribution from basic and additional loadings, and decomposes the flap-angle distributions for each surface into mean and variation distributions.

A Green Element numerical formulation is used to solve the time-dependent nonlinear one-dimensional counter-current spontaneous imbibition diffusion equation in which water enters a water wet rock spontaneously while oil escapes by flowing in the opposite direction.

A tanks-in-series modeling approach is employed here where the number of tanks (used to represent the membrane behavior in a numerical formulation) can be adjusted to calibrate and fit the membrane model to experimental results.

A desirable feature to have in a numerical formulation for multiscale transient problems is to be able to employ different time-steps (multi-time-step coupling), and different time integrators and different numerical formulations (mixed methods) in different regions of the computational domain.

The numerical formulation uses continuum mechanics to simulate the phenomenon of initiation and propagation of interlaminar damage with no need to formulate interface elements, resulting in a computationally less demanding formulation.

Since only the high permeability zones need to be discretized, the numerical formulation is extremely efficient compared to traditional approaches that require discretization of both the high and low permeability zones.

The numerical formulation is extensively applied to investigate free vibration characteristics of the bridges considering effects of the initial curvature, boundary condition, modeling method, and degrees of freedom of cross frame.