A finite compact (FC) difference scheme requiring only bi-diagonal matrix inversion is proposed by using the known high-resolution flux. Introducing TVD or ENO limiters in the numerical flux, several high-resolution FC-schemes of hyperbolic conservation law are developed, including the FC-TVD, third-order FC-ENO and fifth-order FC-ENO schemes. Boundary conditions formulated need only one unknow...

high resolution range profile (hrrp) is being known as one of the most powerful tools for radar target recognition. the main problem with range profile for radar target recognition is its sensitivity to aspect angle. to overcome this problem, consecutive samples of hrrp (or feature vectors extracted from them)were assumed to be identically independently distributed (iid) in small frames of aspe...

New a posteriori error indicators based on edgewise slope-limiting are presented. The L2-norm is employed to measure the error of the solution gradient in both global and element sense. A second order Newton-Cotes formula is utilized in order to decompose the local gradient error from a P1-finite element solution into a sum of edge contributions. The gradient values at edge midpoints are interp...

In this article, we consider a new technique that allows us to overcome the well-known restriction of Godunov’s theorem. According to Godunov’s theorem, a second-order explicit monotone scheme does not exist. The techniques in the construction of high-resolution schemes with monotone properties near the discontinuities of the solution lie in choosing of one of two high-resolution numerical solu...

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]...

The technique of obtaining high resolution, second order, oscillation free (TVD), explicit scalar difference schemes, by the addition of a limited antidiffusive flux to a first order scheme is explored and bounds derived for such limiters. A class of limiters is presented which includes a very compressive limiter due to Roe, and various limiters are compared both theoretically and numerically.

The recent challenge in diffusion imaging is to find acquisition schemes and analysis approaches that can represent non-gaussian diffusion profiles in a clinically feasible measurement time. In this work we investigate the effect of b-value and the number of gradient vector directions on Q-ball imaging and the Diffusion Orientation Transform (DOT) in a structured way using computational simulat...

In this short note we address the issue of numerical resolution and efficiency of high order weighted essentially nonoscillatory (WENO) schemes for computing solutions containing both discontinuities and complex solution features, through two representative numerical examples: the double Mach reflection problem and the Rayleigh–Taylor instability problem. We conclude that for such solutions wit...

Abstract. We are concerned with the convergence of Lax-Wendroff type schemes with high resolution to the entropy solutions for conservation laws. These schemes include the original Lax-Wendroff scheme proposed by Lax and Wendroff in 1960 and its two step versions–the Richtmyer scheme and the MacCormack scheme. For the convex scalar conservation laws with algebraic growth flux functions, we prov...