Sentence examples for mass conservation problem from inspiring English sources

The approach advocated in this paper also provides a solution to the mass conservation problem associated with the variable parameter Muskingum routing method, which has been a major issue in the hydrological literature for the last three decades.

Three different numerical approaches to overcome the local mass conservation problem of the random walk methodology are examined: (i) the interpolation method, (ii) the reflection principle, and (iii) the generalized stochastic differential equations (GSDE).

First, a set of local interpolators for pressure and velocity is constructed by solving the Navier Stokes equations; then, a coarse mass-conservation problem is constructed by averaging the pore-scale velocity over the cells of a coarse grid, which act as control volumes; finally, a conservative pore-scale velocity field is reconstructed and used to advect the fluid fluid interface.

Mass conservation in the flow problem and the behaviour of free edges in the two-dimensional case are both seen to influence the velocity field.

The scheme conserves mass, overcoming problems of mass conservation typically experienced with offline transport models, and permits long time steps (relative to the Courant number) to be used by the offline model.

Tracer transport is governed by a convection diffusion problem modeling mass conservation of both tracer and ambient fluids.

Furthermore, when injecting particles from outside the analytical model to eliminate the problem, the mass conservation law becomes invalid inside the model.

Galvin et al. [6] studied problem (1.1) with poor mass conservation in mixed finite element algorithm for flow problems of large rotation-free forcing in the momentum equations.

However, this method suffers from problems with mass conservation and pressure oscillations.

At each time step, we solve a scalar p-Laplace minimization-type problem with obstacle (SIA), a vectorial p-Laplace minimization-type problem (SSA) and a transport equation (mass conservation).

And, the scheme can preserve the mass conservation and energy dissipation properties of the original problem.