In this paper, we develop an efficient moving mesh weighted essentially nonoscillatory (WENO) method for one-dimensional hyperbolic conservation laws. The method is based on the quasi-Lagrange approach of the moving mesh strategy in which the mesh is considered to move continuously in time. Several issues arising from the implementation of the scheme, including mesh smoothness, mesh movement re...

Shock-Capturing and Front-Tracking Methods for Granular Avalanches Y. C. Tai,∗ S. Noelle,† J. M. N. T. Gray,‡ and K. Hutter∗ ∗Institut für Mechanik, Technische Universität Darmstadt, 64289 Darmstadt, Germany; †Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Templergraben 55, 52056 Aachen, Germany; and ‡Department of Mathematics, University of Manchester, Manchester M13 9PL, Unite...

organizations in order to capture sustainability and competitive advantage need to pay attention to environmental issues throuoghout their supply chain. by decreasing costs, improving image and being protected against environmental laws it can lead to organizational competitive advantage. current research has been done investigating the relationship between green supply chain and capturing cope...

in this paper, the accuracy of k- and k- turbulence models in super sonic boundary layer capturing of smooth/rough flat plates have been comprehensively investigated. among these investigations, some sorts of sensitivity analysis, including change in turbulence model, generated-grid density, near wall affects, c magnitude (for boundary layers generated on smooth flat plates), and change in c...

We consider infinite FPU-type atomic chains with general convex potentials and study the existence of monotone fronts that are heteroclinic travelling waves connecting constant asymptotic states. Iooss showed that small amplitude fronts bifurcate from convex-concave turning points of the force. In this paper we prove that fronts exist for any asymptotic states that satisfy a certain algebraic c...

For viscous conservation laws, solutions contain smooth but high-contrast features, which require the use of fine grids to properly resolve. On coarse grids, these high-contrast jumps resemble shocks rather than their true viscous profiles, which could lead to issues in the numerical approximation of their underlying dynamics. In many cases, the equations of motion emit traveling wave solutions...

We consider a L-contraction (a L-type stability) of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function, depending both on the time and space variables, solves a viscous HamiltonJacobi equation with source terms. We consider a suitably small L-perturbation around a viscous planar shock wave with arbitrarily large stren...

| A simple approach to compute the skeletons of gray-scale images using partial di erential equations is presented in this paper. The proposed scheme works directly on the gray-scale images, without the necessity of pre-segmentation (binarization), or the addition of shock capturing schemes. This is accomplished by deforming the given image according to a family of modi ed continuousscale erosi...