Sentence examples for formulation implements from inspiring English sources
The proposed DCFD formulation implements the fragility/hazard parameters for flooding.
We then propose a matrix formulation implemented with basic linear algebra subprograms (BLAS) routines in order to speed up its computation for these two expressions.
It is revealed that the computed stress distribution, implantation force and plastic deformation in the trabecular bone is highly dependent on the plasticity formulation implemented.
We quantify the accuracy of a volume-of-fluid (VOF) formulation, implemented in a popular open-source computational fluid dynamics code, compared with a new formulation of a level set (LS) method, specifically developed for quasi-static capillarity-dominated displacement.
Once the expansion coefficients are specified, enough field acoustic pressures are regenerated on a conformal surface around the source and are taken as input to the Helmholtz integral formulation implemented numerically by the boundary element method.
Results show that the proposed multilayer formulation, implemented by using a multivariable 1D finite element technique, enables to calculate interlaminar stresses and fracture energies in reasonable agreement with results obtained by using a continuum FE model, but with a significantly reduced computational cost.
In order to highlight the importance of warping effects, which can be evaluated only by means of refined finite element (FE) analysis software, design has been undertaken using also the more traditional FE beam formulation implemented in the commercial analysis packages most frequently used in manufacturing offices.
This is particularly seen in the different boundary conditions which have been applied and which arise in part from differences in the modelling approaches and methodology adopted by the different research groups and in part from the different assumptions and formulations implemented in the different codes.
All the algorithms and the simulator were implemented in C++ with the linear program formulations implemented using the CPLEX optimization library version 12.0.
The aim of this section is to provide the discrete weak forms of the formulations implemented and used in this work.
