We prove in this paper the Lax–Wendroff consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over cells mesh and time steps. It yields an extension theorem for colocated or non-colocated schemes. This result is obtained polygonal polyhedral meshes, under assumptions which, usual practical cases, essentially boil down t...

the accurate estimation of reaeration rate coefficient, because of its effects on dissolved oxygen in rivers, is one of the most important initial steps of water quality management. the main goal of this paper is to evaluate the effects of reaeration rate coefficient on the river water dissolved oxygen, case study dinachal river, iran. to achieve these aims, water quality samples were collected...

We further investigate the high order positivity-preserving discontinuous Galerkin (DG) methods for linear hyperbolic and radiative transfer equations developed in [14]. The DG methods in [14] can maintain positivity and high order accuracy, but they rely both on the scaling limiter in [15] and a rotational limiter, the latter may alter cell averages of the unmodulated DG scheme, thereby affect...

Abstract We perform a comparative accuracy study of the Rusanov, CABARETM, and WENO5 difference schemes used to compute dam break problem for shallow water theory equations. demonstrate that all three have first order convergence inside region occupied by centered rarefaction wave, Rusanov scheme has second in area constant flow between shock while CABARETM there is no local this area. This due...

An explicit algorithm that yields finite difference schemes of any desired order of accuracy for solving quasi-linear hyperbolic systems of partial differential equations in several space dimensions is presented. These schemes are shown to be stable under certain conditions. The stability conditions in the one-dimensional case are derived for any order of accuracy. Analytic stability proofs for...

A new two-distribution lattice Boltzmann equation (LBE) algorithm is presented to solve the laminar diffusion flames within the context of Burke–Schumann flame sheet model. One distribution models the transport of the Schvab–Zeldovich coupling function, or the mixture fraction to combine the energy and species equations. The other distribution models the quasi-incompressible Navier–Stokes equat...