This paper applies GFDM to analyze coupled two-phase flow and geomechanics for the first
time, to our knowledge, is also the first meshless solver for two-phase fluid-solid coupling …

A great number of phenomena can be modelled by using evolution equations. These
equations can model different behaviors according to the problem of interest. The advection …

Simulation of realistic groundwater flow phenomena in unsaturated porous layered media
needs to consider all the environmental features that influence the governing equation of the …

The paper is devoted to the analysis of two parametric explicit finite-difference schemes for
the linear advection equations, considered on the advection step of the splitting algorithm of …

When designing and implementing numerical schemes, it is imperative to consider the
stability of the applied methods. Prior research has presented different results for the stability …

The paper is devoted to the optimization of the explicit two-derivative sixth-order Runge–
Kutta method in order to obtain low dissipation and dispersion errors. The method is …

The paper is devoted to the analysis of passive scalar transport models, used in the lattice
Boltzmann method. The case of the pure advection process, without physical diffusion, is …

This work presents the use of a schemes in generalized finite-differences for the calculation
of a numeric solution associated to a stationary, advection-diffusion problem, and the usage …

The approach to optimization of finite-difference (FD) schemes for the linear advection
equation (LAE) is proposed. The FD schemes dependent on the scalar dimensionless …

Due to the importance of the shallow-water equations in models of reallife phenomena, in
recent years the study and model of problems that involve them have been the object of …