Sentence examples for both discrete and continuum from inspiring English sources

To this end, we provide a general framework for description of particle motion in both discrete and continuum representations.

For the time integration of the equations of both discrete and continuum models a numerical algorithm based on the use of the FFT is employed.

A continualization of the discrete model equations based on Taylor series allowed us to set equivalent values of the mechanical properties in both discrete and axiomatic continuum models.

Some numerical examples show the correspondence between discrete and continuum modelling, both in the linear and in the non-linear frame.

In this paper, we present a formulation for coupling discrete and continuum models for both dynamic and static analyses.

Although it is possible to perform compaction experimentation combined with simulation using discrete and continuum models applied to both scaled and unscaled processes, this only provides limited insight and does not provide a systematic means to assess the limitation of scaling.

It serves also as a test-ground and illustration of the benefits and drawbacks of discrete and continuum viewpoints.

The main existing models and solution methods were unified further to one theoretical framework, including Bernoulli theory and momentum theory, and discrete and continuum methodologies.

The numerical construction at the interface between the discrete and continuum regions implements the transfer of probability reaction by reaction according to the stoichiometry of the system.

An approach to define collisional properties and kinetic coefficients for simulating multiphase flows with reactions by integrating discrete and continuum models is developed.

We conclude that the residual approach has great potential and that further research into such methods should be pursued for more general discrete and continuum systems.