Amacroscopic two-fluid model of compressible particle-laden gas flows is considered. The governing equations are discretized by a high-resolution finite element method based on algebraic flux correction. A multidimensional limiter of TVD type is employed to constrain the local characteristic variables for the continuous gas phase and conservative fluxes for a suspension of solid particles. Spec...

Damage to plasma-facing components (PFCs) and structural materials during abnormal plasma behavior such as hard disruptions, edge-localized modes (ELMs), and vertical displacement events (VDEs) is considered a serious life-limiting concern for these components. The PFCs in the International Thermonuclear Experimental Reactor (ITER), such as the divertor, limiter and parts of the first wall, wil...

This paper examines the behavior of flux and slope limiters on non-uniform grids in multiple dimensions. Many slope limiters in standard use do not preserve linear solutions on irregular grids impacting both accuracy and convergence. We rewrite some well-known limiters to highlight their underlying symmetry, and use this form to examine the properties of both traditional and novel limiter formu...

We study the relationship between finite volume and mixed finite element methods for the the hyperbolic conservation laws, and the closely related convection-diffusion equations.A general framework is proposed for the derivation and a functional framework is developed which could allow the analysis of relating finite volume (FV) schemes. We show via two nonstandard formulations, that numerous F...

The spectral and temporal evolution of distributed sensing based on stimulated Brillouin scattering (SBS) in optical fibers for severalnanosecond Stokes pulses is demonstrated by using the method of lines (MOL) solution of the transient SBS equations. A superbee flux limiter is utilized to avoid numerical damping and dispersion that would otherwise be brought on by the approximation of spatial ...

A second-order total variation diminishing (TVD) method with variable flux limiters is proposed to overcome the non-realizability issue, which has been one of major obstacles in applying conventional TVD schemes moment transport equations. In present method, a realizable set at cell face reconstructed by allowing flexible selection limiter values within region. Necessary conditions for scheme s...

We provide a Lax-Oleinik-type representation formula for solutions of time-dependent Hamilton-Jacobi equations, posed on network with rather general geometry, under standard assumptions the Hamiltonians. It depends given initial datum at $t=0$ and flux limiter vertices, which both have to be assigned in order problem uniquely solved. Previous results same direction are solely frame junction, na...

We propose the design of an optical limiter based on a microelectromechanical systems deformable mirror. The design is based on aperturing focused light reflected out of an optically driven deformable mirror, deformed in a parabolic form. We derive an expression for the reflected light intensity, and we show that the reflected light saturates as a function of back illumination light intensity.

The flux-corrected-transport paradigm is generalized to implicit finite element schemes and nonlinear systems of hyperbolic conservation laws. In the scalar case, a nonoscillatory low-order method of upwind type is derived by elimination of negative off-diagonal entries of the discrete transport operator. The difference between the discretizations of high and low order is decomposed into a sum ...