Well balanced or asymptotic preserving schemes are receiving an increasing amount of interest. This paper gives a precise setting for studying both properties in the case of Euler system with friction. We derive a simple solver which, by construction, preserves discrete equilibria and reproduces at the discrete level the same asymptotic behavior as that of the solutions of the continuous system...

We describe two applications of our HPJava language for parallel computing. The first is a multigrid solver for a Poisson equation, and the second is a CFD application that solves the Euler equations for inviscid flow. We illustrate how the features of the HPJava language allow these algorithms to be expressed in a straightforward and convenient way. Performance results on an IBM SP3 are presen...

We consider the simulation of three-dimensional transonic Euler flow using pseudo-transient Newton–Krylov methods [8,9]. The main computation involves solving a large, sparse linear system at each Newton (nonlinear) iteration. We develop a technique for adaptively selecting the linear solver method to match better the numeric properties of the linear systems as they evolve during the course of ...

This paper introduces an eecient Euler solver for large tetrahe-dral grids (6:7 10 6 cells). The underlying method is a cell vertex nite volume formulation with a Lax{Wendroo pseudo time{stepping update. This is used as a smoother in an unstructured multigrid method, which requires a sequence of non{nested tetrahedral grids. Fast solutions are achieved by using a a distributed memory parallel c...

The main objective of the present study is to utilize a novel linearization strategy to linearize the convection terms of the quasi-one-dimensional Euler governing equations on collocated grids and to examine its shock-capturing capabilities. To avoid a pressure checkerboard problem on the collocated grids, it is necessary to utilize two velocity definitions at each cell face. Similarly, we def...

The paper presents a new simulation method for airbags with multiple compartments. In recent years many accidents happened with passengers that were out of position (OOP) when their airbag deployed. Therefore new safety regulations have come into effect in the USA and an airbag now has to meet several requirements that concern out of positioning. In meeting these requirements simulations of dep...