Conservative upwind difference schemes for compressible flows in a duct

Compressible Two-phase Flows by Central and Upwind Schemes

This paper concerns numerical methods for two-phase flows. The governing equations are the compressible 2-velocity, 2-pressure flow model. Pressure and velocity relaxation are included as source terms. Results obtained by a Godunov-type central scheme and a Roe-type upwind scheme are presented. Issues of preservation of pressure equilibrium, and positivity of the partial densities are addressed...

A Comparison of Upwind Difference Schemes for Compressible Flows of Ideal and Non-Ideal Gases in a Duct.dvi

In a recent paper [1] a number of numerical schemes were presented for the Euler equations governing compressible flows of an ideal gas in a duct of variable cross section, the principal one of which is based on a conservative linearisation approach. This scheme was subsequently extended to encompass compressible duct flows of real gases where the equation of state allows for non-ideal gases [2...

Simulation of time-dependent compressible viscous flows using central and upwind-biased finite-difference techniques

Inadequacy of First - Order Upwind Difference Schemes for Some Recirculating Flows *

Spurious numerical solutions of problems with closed sub-characteristics by upwind difference schemes, in particular problems of recirculating incompressible flow at high Reynolds numbers, are proved to be due to the anisotropy of the artificial viscosity. Numerical examples are presented to show that even very simple problems, including basic problems in fluid dynamics, are not approximated we...

Decoupling schemes for predicting compressible fluid flows

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the density. An approximate solution of an initial–boundary value problem is calculated using the finite element approximation in space. The fully implicit two–level ...