An interface condition to compute compressible flows in variable cross section ducts

A well-balanced scheme for two-fluid flows in variable cross-section ducts

We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. The VFRoe variables are the Riemann invariants of the stationnary wave and the cross-section. In order to avoid spurious pressure oscillations, the well-balanced approach is coupled with an ALE (Arbitrary Lagrangian Eu...

Exact Riemann Solutions to Compressible Euler Equations in Ducts with Discontinuous Cross–section

Abstract. We determine completely the exact Riemann solutions for the system of Euler equations in a duct with discontinuous varying cross–section. The crucial point in solving the Riemann problem for hyperbolic system is the construction of the wave curves. To address the difficulty in the construction due to the nonstrict hyperbolicity of the underlying system, we introduce the L–M and R–M cu...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows

Variable Degree Schwarz Methods for Unsteady Compressible Flows

We introduce a new variant of the overlapping Schwarz method OSM for solving unsteady problems In particular we study implicit methods FFL FS VM for obtaining the time accurate solution of the compressible Navier Stokes equations discretized on two dimensional unstructured meshes When using implicit methods a large sparse linear system must be constructed and solved at each time step Depending ...

A sharp interface immersed boundary method for compressible viscous flows

An immersed boundary method for computing viscous, subsonic compressible flows with complex shaped stationary immersed boundaries is presented. The method employs a ghost-cell technique for imposing the boundary conditions on the immersed boundaries. The current approach leads to a sharp representation of the immersed boundaries, a property that is especially useful for flow simulations at high...