Two and three-dimensional finite volume extensions of the Lax-Friedrichs (LF) and Nessyahu-Tadmor (NT) one-dimensional difference schemes were previously presented and applied to several problems for nonlinear hyperbolic ...

We consider the Euler equations with gravitational source term and propose a new well-balanced unstaggered central finite volume scheme, which can preserve the hydrostatic balance state exactly. The proposed scheme evolves ...

This paper reports on the application and development of a fully hyperbolic and fully conservative two‐phase flow model for the simulation of gas and magma flow within volcanic processes. The model solves a set of mixture ...

Numerical simulations of natural convection heat and mass transfer in a square cavity using Comsol Multiphysics 5.0 software are presented. The effective thermal conductivity of nanofluid in porous media is computed using ...

In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution ...

Computations of gas-solid two-phase flow are carried out within the framework of mixture formulations. These computations are based on the Riemann problem for the resulting theoretical equations. The Riemann problem for ...

We develop second-order nonoscillatory unstaggered central schemes (UCS) with a constrained transport-type method to solve one and two-dimensional hyperbolic problems arising in astrophysics. In contrast with the original ...

In this paper we develop a new central unstaggered finite volume method for solving systems of hyperbolic equations. Based on the Lax‐Friedrichs central scheme and on the Nessyahu and Tadmor (NT) one‐dimensional non‐oscillatory ...

In this paper we present a two-dimensional extension of the staggered Lax-Friedrichs scheme for the approximate solution of hyperbolic conservation laws on unstructured grids. By evolving the numerical solution on two ...