We present numerical comparisons for the simulation of unsteady 2D shallow water flows over topography with wet/dry fronts, between well-balanced cell-centered and node-centered formulations of a finite volume high-resolution algorithm. In both formulations we utilize Roe’s Riemann solver, while second-order spatial accuracy is achieved with MUSCL-type reconstruction techniques. Grid refinement...

The multislope concept has been recently introduced in the literature to deal with MUSCL reconstructions on triangular and tetrahedral unstructured meshes in the finite volume cell-centered context. Dedicated scalar slopes are used to compute the interpolations on each face of a given element, in opposition to the monoslope methods in which a unique limited gradient is used. The multislope appr...

the liquid metal flow and the solidification behaviours in a multi-cavity casting mould of two automotive cast parts were simulated in three dimensions. the commercial code, flow-3d® was used because it can track the front of the molten metal by a volume of fluid (vof) method and allows complicated parts to be modeled by the fractional area/volume obstacle representation (favor) method. the gre...

in this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. our analysis in this study revealed that;for normal-stress tqq , the xpp model can predict this tensor unlike the other viscoelastic models such as ptt or gieskus which can not predict tqq for viscoelastic fluid in two dimensional pipe flows. the fluid is modelled...

Abstract The Lax-Wendroff scheme is extended to incompressible fluid flow problems within the framework of artificial compressibility method (ACM) utilizing a “cell-centered finite-volume” Δ-approximation on non-orthogonal non-staggered grid. An ACM induces transformation between conservative and primitive variables; physical relevance bring about “matrix preconditionings”, provoking density pe...

This paper presents an efficient Euler method on Cartesian grids coupled with an integral Boundary-Layer method. The unsteady Euler equations are solved using cell-centered finite volume method by the implicit-explicit dual-time stepping scheme. The wall boundary conditions on the wing are implemented on the wing chord plane by first order approximation so that non-moving Cartesian grids can be...

The conditions sufficient to ensure positivity and linearity preservation for a cell-centered finite volume scheme for time-dependent hyperbolic equations using irregular one-dimensional and triangular two-dimensional meshes are derived. The conditions require standard flux limiters to be modified and also involve possible constraints on the meshes. The accuracy of this finite volume scheme is ...

A robust and efficient finite volume method with interface sharpening technique has been developed to solve the six-equation multi-fluid single-pressure model for compressible two-phase flows. The numerical is implemented in a three-dimensional vertex-centered code. least-squares reconstruction Kuzmin's vertex-based (VB) limiter fraction set of primitive variables presented framework. In region...