For the initial value problem of scalar conservation laws, a bound-preserving property is desired for numerical schemes in many applications. Traditional methods to enforce a discrete maximum principle by defining the extrema as those of grid point values in finite difference schemes or cell averages in finite volume schemes usually result in an accuracy degeneracy to second order around smooth...

We propose a high order finite difference linear scheme combined with bound preserving maximum-principle-preserving (MPP) flux limiter to solve the incompressible flow system. For such problem highly oscillatory structure but not strong shocks, our approach seems be less dissipative and much costly than WENO type scheme, has resolution due Hermite reconstruction. Spurious numerical oscillations...

A two-dimensional finite-difference lattice Boltzmann model for liquid–vapor systems is introduced and analyzed. Two different numerical schemes are used and compared in recovering equilibrium density and velocity profiles for a planar interface. We show that flux limiter techniques can be conveniently adopted to minimize spurious numerical effects and improve the numerical accuracy of the mode...

The efflux of atoms with energies greater than 10 eV from tokamaks results primarily from charge exchange. This flux is useful as a diagnostic of plasma properties such as particle transport, particle confinement, power balance, neutral density, and ion temperature. This flux also contributes to plasma contamination by sputtering of impurities from walls and limiters. We have measured the efflu...

An unsteady two-dimensional numerical investigation was performed on the viscous flow passing through a multi-blade cascade. A Cartesian finite-volume approach was employed and it was linked to Van-Leer's and Roe's flux splitting schemes to evaluate inviscid flux terms. To prevent the oscillatory behavior of numerical results and to increase the accuracy, Monotonic Upstream Scheme for Conservat...

AbsfractThis paper computes the probabilities of detection and false alarm for a pseudonoise (PN) sequence code lock detector when a strong radio frequency interference (RFI) hits the communications link. A soft-limiter, a hard-limiter, and no limiter at the front-end of the receiver are considered. Both continuous wave (CW) type RFI and pulse type RFI are analyzed. It is shown that a soft-limi...

Here we present a class of solutions of M-theory flux branes, which are non-singular at origin. These class of solutions help us to determine the field strength at origin together with the behavior of it near origin. Further we show a way to find the attractor solutions of such flux branes.

Our goal is to develop a flux limiter of the Flux-Corrected Transport method for nonconservative convection-diffusion equation. For this, we consider hybrid difference scheme that linear combination monotone and high-order accuracy. The computed as an approximate solution corresponding optimization problem with objective function. constraints this are derived from inequalities valid apply schem...