A well-balanced scheme for a transport equation with varying velocity and irregular opacities
نویسنده
چکیده
An equation for photons containing a frequency drift term modeling the Doppler effects and an emission absorption coefficient is considered. On the one hand, this frequency drift term involves a coefficient κ relative to the fluid velocity with which the photons interact. This coefficient may vanish, leading to numerical difficulties. On the second hand, the emission absorption σ is known to be very irregular with respect to the frequency, and thus the design of well-balanced scheme is a mathematical issue. In this work are presented new numerical results for the spectrally well-balanced scheme in the context of highly irregular opacities.
منابع مشابه
Analytical Solutions for Spatially Variable Transport-Dispersion of Non-Conservative Pollutants
Analytical solutions have been obtained for both conservative and non-conservative forms of one-dimensional transport and transport-dispersion equations applicable for pollution as a result of a non-conservative pollutant-disposal in an open channel with linear spatially varying transport velocity and nonlinear spatially varying dispersion coefficient on account of a steady unpolluted lateral i...
متن کاملSequential Implicit Numerical Scheme for Pollutant and Heat Transport in a Plane-Poiseuille Flow
A sequential implicit numerical scheme is proposed for a system of partial differential equations defining the transport of heat and mass in the channel flow of a variable-viscosity fluid. By adopting the backward difference scheme for time derivative and the central difference scheme for the spatial derivatives, an implicit finite difference scheme is formulated. The variable-coefficient diffu...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملTwo-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity
The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...
متن کاملStudy of Love Waves in a Clamped Viscoelastic Medium with Irregular Boundaries
A mathematical model is presented to investigate the effects of sandiness, irregular boundary interfaces, heterogeneity and viscoelasticity on the phase velocity of Love waves. Geometry of the problem is consisting of an initially stressed viscoelastic layer with corrugated irregular boundaries, which is sandwiched between heterogeneous orthotropic semi-infinite half-space with initial stress a...
متن کامل