We consider an unsteady convection diffusion equation which models the transport of a dissolved species in two-phase incompressible flow problems. The so-called Henry interface condition leads to a jump condition for the concentration at the interface between the two phases. In [A. Hansbo, P. Hansbo, Comput. Methods Appl. Mech. Engrg. 191 (20002)], for the purely elliptic stationary case, exten...

We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to approximate nonlinear systems of conservation laws in several space dimensions. The degrees of freedom are in terms of the entropy variables and the numerical flux functions are the entropy stable finite volume fluxes. We show entropy stability of the (formally) arbitrarily high order accurate meth...

History matching large reservoir models under a realistic geological continuity constraint remains an outstanding problem. We propose a new combined geostatistical and streamline-based method potentially capable of history matching large reservoir models, while accounting consistently for geological continuity as provided by a permeability histogram and variogram, and production data. While mos...

We compute the front speeds of the Kolmogorov-Petrovsky-Piskunov (KPP) reactive fronts in two prototypes of periodic incompressible flows (the cellular flows and the cat’s eye flows). The computation is based on adaptive streamline diffusion methods for the advection-diffusion type principal eigenvalue problem associated with the KPP front speeds. In the large amplitude regime, internal layers ...

The dynamics of concentration of small particles ruled by external velocity flow field plays a significant role for research and applications in natural science and industry. A big variety of such problems are described mathematically as convection-diffusion equations coupled with Stokes equation. Convection-dominated is the most common case in such problems. Standard numerical schemes for simu...

Instanton and anti-instanton configurations used in evaluating the baryon and lepton number violation process in the standard model are investigated. Although not solutions of the field equations, such configurations play a crucial role in evaluating the relevant amplitudes. The streamline method, which has been employed for this purpose, is examined. A new method that has better features than ...

Introduction False positive connections are an inevitable part of in vivo probabilistic tractography. Due to the probabilistic sampling process, some streamlines generated by tractography algorithms are typically extraneous, and do not accurately reflect the topology of the underlying white matter fasciculus. When tractography is used as a segmentation tool, such as in group contrast studies in...

Introduction: Spatial normalisation of diffusion data allows diffusion properties to be compared across a population without any bias from macrostructural differences in tissue anatomy. Standard approaches perform spatial normalisation of diffusion tensors. However streamline tractography through lattices of tensors is mainly suited to reconstruction of major white matter fibres. In contrast pr...

This paper analyzes the local properties of the symmetric interior penalty upwind discontinuous Galerkin method (SIPG) for the numerical solution of optimal control problems governed by linear reaction-advection-diffusion equations with distributed controls. The theoretical and numerical results presented in this paper show that for advection-dominated problems the convergence properties of the...