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...

We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as flux limiters do for finite differences, finite volumes and finite elements methods, but for LBM the main idea behind the construction of nonequili...

In this paper, the fourth in a series, the spectral volume (SV) method is extended to multi-dimensional systems – the 2D Euler equations. The focus of this paper is to study the performance of the SV method on multidimensional nonlinear systems, and to verify that high order solution accuracy up to fourth-order can be achieved for the systems of conservation laws. Implementation details includi...

We construct a system of nonequilibrium entropy limiters for the lattice Boltzmann methods (LBM). These limiters erase spurious oscillations without blurring of shocks, and do not affect smooth solutions. In general, they do the same work for LBM as flux limiters do for finite differences, finite volumes and finite elements methods, but for LBM the main idea behind the construction of nonequili...

We present a detailed investigation on the intensity dependent third-order nonlinear optical (NLO) properties of RF-sputtered WSe2 thin film using ultra short pulses. The employed single-beam Z-scan technique near-infrared (NIR) pulses centered at 1030 nm for ascertaining NLO response. results reveal reverse saturable absorption (RSA) signature, which is primarily due to contribution from two-p...

1 Graduate Research Student, Department of Aerospace Engineering, University of Maryland, College Park, Maryland 20742. 2 Associate Professor, Department of Aerospace Engineering, University of Maryland, College Park, Maryland 20742. 3 Professor, Institute of Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742. E-mail: [email protected]...