A Hybrid Five-Point Finite Difference Scheme for Convection-Diffusion Equations

In this paper, some five-point finite difference schemes for steady convection-diffusion problems are presented. To begin with, we use the finite volume method (FVM) to discretize the convection-diffusion equation. After that, we present two five-point difference schemes for the approximation of the first order derivatives on faces, one of which...

A multilevel adaptive multiscale finite volume method for steady compressible flows

An implicit multilevel finite volume solver on adaptively refined quadtree meshes is presented for the solution of steady state flow problems. The nonlinear problem arising from the implicit time discretization is solved by an adaptive FAS multigrid method. Local grid adaptation is performed by means of a multiscale-based strategy. For this...

Adaptive sonic boom sensitivity analysis

This paper presents an accurate approach to simulate the sonic boom of a supersonic aircraft. The near field flow is modeled by the conservative Euler equations and is solved using a finite volume approach on adapted unstructured tetrahedral meshes. Then, from the CFD solution, the pressure distribution under the aircraft is extracted and used...

The Weighted Least Square Scheme for Multidimensional Flows

This article describes the development of a high order finite volume method for the solution of transonic flows. The high order of accuracy is achieved by a reconstruction procedure similar to the weighted essentially non-oscillatory schemes (WENO). On the contrary to the WENO schemes, the weighted least square (WLSQR) scheme is easily...

ALMD: A modeling environment for ILES

Further development of Large Eddy Simulation faces as major obstacle the strong coupling between subgrid-scale model and the truncation error of the numerical discretization. Recent analyzes indicate that for certain discretizations and certain flow configurations the truncation error itself can act as implicit SGS model. Relevant...

Design and flow analysis of radial and mixed flow turbine volutes

Radial and mixed flow turbines which are an important component of a turbocharger consist essentially of a volute, a rotor and a diffuser. Vaneless volute turbines, which have reasonable performance and low cost, are the most used in turbochargers for automotive engines. Care has to be done in the design of the volute, whose function is to...

A three-dimensional finite volume method for incompressible Navier-Stokes equations on unstructured hybrid staggered grids

In this work, a new method was described for spatial discretization of threedimensional Navier Stokes equations in their primitive form, on unstructured, staggered grids. Velocities were placed on the cell faces and pressure in cell centers and were linked with the projection method. Thanks to the variable arrangement, no stabilization procedure...