The algebraic flux correction (AFC) schemes presented in this work constrain a standard continuous finite element discretization of nonlinear hyperbolic problem to satisfy relevant maximum principles and entropy stability conditions. desired properties are enforced by applying limiter antidiffusive fluxes that represent the difference between high-order baseline scheme property-preserving appro...

Numerical schemes for the solution of Euler equations have recently been developed, which involve discretisation internal energy equation, with corrective terms to ensure correct capture shocks, and, more generally, consistency in Lax-Wendroff sense. These may be staggered or colocated, using either structured meshes general simplicial tetrahedral/hexahedral meshes. The time discretization is p...

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 study the Cauchy problem for the Korteweg de Vries (KdV) equation with small dispersion and with monotonically increasing initial data using the Riemann-Hilbert (RH) approach. The solution of the Cauchy problem, in the zero dispersion limit, is obtained using the steepest descent method for oscillatory Riemann-Hilbert problems. The asymptotic solution is completely described by a scalar func...

This work is concerned with the numerical approximation of Cauchy problems for one-dimensional hyperbolic nonconservative systems. Some particular cases of P.D.E. systems which can be considered as particular cases of the nonconservative systems that we study are systems of conservation laws, systems of conservation laws with source term or balance laws and coupled systems of conservation laws ...

This paper is the initial investigation into a new Lagrangian cell-centered hydrodynamic scheme that is motivated by the desire for an algorithm that resists mesh imprinting and has reduced complexity. Key attributes of the new approach include multidimensional construction, the use of flux-corrected transport (FCT) to achieve second order accuracy, automatic determination of the mesh motion th...

Methods We propose a numerical framework for determining pressure field in large arteries, the main components of which are: axi-symmetric 1-D unsteady wave-propagation model with elastic walls and an optimization framework for model personalization via parameter estimation from measured flow and anatomical data (Fig 1). 4D PC MRI data was acquired using a multi-slice phase contrast FLASH cine ...