The paper deals with the introduction to combined schemes for numerical modelling of water transport of radionuclides through a rock massif modelled as a system of fractures. Inside the fracture system, Darcy flow of water is supposed. The combined schemes for solution of convectivereactive-diffusive transport of radionuclides with sorption and radioactive decay in the fracture flow field are mentioned and referenced and results of numerical computations are presented.
This work deals with a groundwater flow and solute transport model in the near-surface (predominantly unsaturated) zone. The model is implemented so that it allows simulations of contamination transport from a source located in a geological environment of a rock massif. The groundwater flow model is based on Richards’ equation. Evaporation is computed using the Hamon model. The transport model is able to simulate advection, diffusion, sorption and radioactive decay. Besides the basic model concept, the article also discusses potential cases that could lead to non-physical solutions. On three selected examples, which include, for example, rapidly changing boundary conditions, the article shows the solvability of such cases with the proposed model without unwanted effects, such as negative concentrations or oscillations of solution, that do not correspond to inputs.
The parameters of ferroelectric thin layers are closely related to properties of materials from which they are made. Electric and elastic fields have large influence on important properties of discused materials. The paper describes an application of the finite element method in modelling of electric and elastic fields in ferroelectric crystals and their influence on the shifts of domain boundaries. The boundary in ferroelectrics is idealized as two-dimensional defect in an electroelastic continuum, which represents the source of inhomogenity and internal distortion in both elastic and dielectric fields. The presented paper contains a derivation of the numerical model of the problem, based on the physical description of piezoelectric continuum, finite element formulation and some applicatin of model.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.