Exact solutions of a class of non-linear Fokker-Planck equations
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First- and second-order surface impedance boundary conditions are introduced in the harmonic 2-D variational formulation based on the magnetic vector potential. The problem is discretized with isogeometric finite elements, a recent method that uses NURBS f ...
Even though it oversimplifies reality, the dam-break problem for frictionless fluids provides predictions relevant to various manmade and natural dam-break floods. The exact solution can also be used to test numerical schemes. However, as far as we are awa ...
Laboratory column experiments involving steady flow in homogeneous soil are often analyzed assuming that the flow is spatially uniform in any plane transverse to the longitudinal axis aligned with the column centerline. Axisymmetric steady flow in such a c ...
It has long been acknowledged that the well known and frequently used stability criterion beta(p)< 0.3 for the toroidal ideal magnetohydrodynamic internal kink mode in a tokamak is inaccurate for an empirically relevant safety factor. The present paper out ...
The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions. Its main idea con ...
In this paper, we discuss two issues related to the measurement and calculation of the horizontal electric fields from lightning. On the one hand, there is an inherent difficulty inmeasuring the horizontal electric field component from lightning because of ...
Many details about the flow of water in soils in a hillslope are unknowable given current technologies. One way of learning about the bulk effects of water velocity distributions on hillslopes is through the use of tracers. However, this paper will demonst ...
Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zone ...
Dynamic mesh adaptation on unstructured grids, by localised refinement and derefinement, is a very efficient tool for enhancing solution accuracy and optimise computational time. One of the major drawbacks however resides in the projection of the new nodes ...
This paper is concerned with the initial-boundary value problems of scalar transport equations with uncertain transport velocities. It was demonstrated in our earlier works that regularity of the exact solutions in the random spaces (or the parametric spac ...