In this paper, we propose a new spectral viscosity method for the solution of nonlinear scalar conservation laws in the whole line. The proposed method is based on the generalized Hermite functions. It is shown rigorously that this scheme converges to the unique entropy solution by using compensated compactness arguments. The numerical experiments of the inviscid Burger’s equation support our r...

Abstract We develop a novel nonlocal model of dislocations based on the framework peridynamics. By embedding interior discontinuities into constitutive law, displacement jump in Volterra dislocation is reproduced, intrinsic singularities classical elasticity are regularized, and surface effect previous peridynamics models avoided. The extended embedded discontinuity overcomes unphysical dissipa...

An approximate Riemann solver of Godunov type for ideal relativistic magnetohydrodynamic equations (RMHD) named as HLLC (“C” denotes contact) is developed. In HLLC the Riemann fan is approximated by two intermediate states, which are separated by the entropy wave. Numerical tests show that HLLC resolves contact discontinuity more accurately than the Harten-Lax-van Leer (HLL) method and an isola...

Revision total hip arthroplasty with massive bone loss and pelivic discontinuity has no standardized treatment up until now. This report presents a case of a female patient with a diagnosed pelvic discontinuity 4 years after the previous hip arthroplasty. The patient is suffering from rheumatoid arthritis, and was admitted to hospital treatment for hip pain, leg shortening, limitated range of m...

hydraulic fracturing (hf), as a stimulation technique in petroleum engineering, has made possible the oil production from reservoirs with very low permeability. the combination of horizontal drilling and multiple hf with various perforation angles has been widely used to stimulate oil reservoirs for economical productions. despite the wide use of hf, there are still ambiguous aspects that requi...

in this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. at first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. so the new algorithm is called the displacement-based finite difference time domain (dbfdtd). three numerical examples are computed with this met...

We present quantitative evidence that the mita introduced by Spanish crown in 1573 caused decimation of native-born male population. The mass baptisms after conquest Peru 1532 resulted assignation surnames for first time. argue past mortality displacement and out-migration were responsible differences observed non-mita districts today. Using a regression discontinuity data from Peruvian Elector...