An implementation of a coupled Navier-Stokes/Darcy model based on different Dune discretization modules is presented. The Darcy model is taken from DuMux, the Navier-Stokes model is implemented on top of Dune-PDELab, and the coupling is done with help of Dune-MultiDomain together with some project-specific auxiliary code. The Navier-Stokes model features one fluid phase, the Darcy model two flu...

In this paper the turbulent flow in a cyclonic separator is investigated with large-eddy simulation (LES) based on a cylindrical coordinate spectral-element-Fourier method (SEM) using the Smagorinsky subgrid-scale model in its standard and dynamic formulation. The results show slight model differences, but both have poor agreement with measurements. The cylindrical-coordinate system geometry us...

In this paper, convection heat transfer of Al2O3-water nanofluid turbulent flow through internally ribbed tubes with different rib shapes (rectangular, trapezoidal and semi-circular) is numerically investigated. For each rib shape, the optimum geometric ratio and volume fraction were calculated using entropy generation minimization technique. The governing equations in...

In this paper we introduce a new numerical method for the linear complementarity problems (LCPs) arising from two-asset Black–Scholes and Heston's stochastic volatility American options pricing. Based on barycenter dual mesh, class of finite volume (FVM) is proposed spatial discretization, coupled with backward Euler Crank–Nicolson schemes are employed time stepping partial differential equatio...

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...

Energy conservation dissipative particle dynamics (eDPD) is a mesoscale numerical simulation method used to study the heat transport process. In previous studies, when Boussinesq assumption was introduced into eDPD system natural convection, generally considered be incompressible, and effect of thermal expansion itself on results often neglected, which would cause errors in simulation. present ...

Abstract A funnel-type mold is commonly used to provide necessary clearance for the submerged entry nozzle in thin slab casting (TSC). The partially solidified shell subjected mechanical deformations, which can lead defects formation and, as a results, breakout. Traditionally, results of flow simulation, performed by finite volume method (FVM), are fed external package element analysis stress a...

The aim of this article is a qualitative analysis of two modern finite volume (FVM) schemes. First one is the so called Modified Causon’s scheme, which is based on the classical MacCormack FVM scheme in total variation diminishing (TVD) form, but is simplified in such a way that the demands on computational power are much smaller without loss of accuracy. Second one is implicit WLSQR (Weighted ...

We consider scalar hyperbolic conservation laws in several (d ≥ 1) spatial dimensions with stochastic initial data. We prove existence and uniqueness of a random-entropy solution and show existence of statistical moments of any order k of this random entropy solution. We present a class of numerical schemes of multi-level Monte Carlo Finite Volume (MLMC-FVM) type for the approximation of random...