We discuss our preliminary experiences with several parallel two level additive Schwarz type domain decomposition methods for the simulation of three dimensional transonic compressible ows The focus is on the implementation of the parallel coarse mesh solver which is used to reduce the computational cost and speed up the convergence of the linear algebraic solvers Results of a local two level a...

The classical two-phase Stefan problem in level set formulation is considered. The implementation of a solver on triangular grids is described. Extended finite elements (X-FEM) in space and an implicit Euler method in time are used to approximate the temperature. For the level set equation, a discontinuous Galerkin (DG) and a strong stability preserving (SSP) RungeKutta scheme are employed. Pol...

Accurate and stable numerical discretization of the equations for the nonhydrostatic atmosphere is required, for example, to resolve interactions between clouds and aerosols in the atmosphere. Here the authors present a modification of the hydrostatic control-volume approach for solving the nonhydrostatic Euler equations with a Lagrangian vertical coordinate. A scheme with low numerical diffusi...

We consider the Saint-Venant system for shallow water flows with non-flat bottom. In the past years, efficient well-balanced methods have been proposed in order to well resolve solutions close to steady states at rest. Here we describe a strategy based on a local subsonic steady-state reconstruction that allows to derive a subsonic-well-balanced scheme, preserving exactly all the subsonic stead...

An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of-fluid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically re...

FLITE3D is a multigrid Euler solver. It is used extensively by British Aerospace in aircraft design and simulation. This paper presents experiences in parallelizing this industrial code. Owing to the employment of an agglomeration-based multigrid technique, the communication overhead on the coarser meshes could readily erode any gain from the use of parallel computers. The parallelization of th...

Abstract. The efficient storage and access of grids by data structures using topological operators is one of the most important goals of the geometric modeling research field. It usually requires less time to load grid files and allows efficient query operations. Topological data structures index elements of grid representing incidence and adjacency properties. One of most common aspects from p...

This paper focuses on the demonstration of a new integrated aero-structural design method for aerospace vehicles. The approach combines an aero-structural analysis solver, a coupled aero-structural adjoint solver, a geometry-based analysis and design integration strategy, and an efficient gradient-based optimization algorithm. The aero-structural solver ensures highly accurate solutions by usin...

In this paper we derive a posteriori error estimates for the compositional model of multiphase Darcy flow in porous media, consisting of a system of strongly coupled nonlinear unsteady partial differential and algebraic equations. We show how to control the dual norm of the residual augmented by a nonconformity evaluation term by fully computable estimators. We then decompose the estimators int...