Titlebook: Hyperbolic Problems: Theory, Numerics, Applications; Eighth International Heinrich Freistühler,Gerald Warnecke Conference proceedings 2001

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Heterogeneous Domain Decomposition Methods for Compressible Magneto-plasma Flows,smadynamic (MPD) accelerator. The magneto—plasma flow is modelled by a system of conservation laws extended by partial differential equations describing the electromagnetic field. Since the numerical solution of the governing equations is extremely expensive, the flow—field domain is decomposed into

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Magnetoplasmadynamic Rocket Thruster Simulation,tic plasma flow in thermal and reaction non-equilibrium is modeled with thirteen conservation equations. A new finite volume solver has been developed to compute the steady-state solution. The upwinding scheme for the species and the time-stepping procedure will be described in detail, and numerical

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The Eikonal Equation on a Manifold. Applications to Grid Generation or Refinement,ally a PDE whose solution is singular. The basic idea is to consider an initial closed curve and to move this curve by the Hamilton-Jacobi equation on a manifold. Similar ideas could also be useful in image processing, in particular for the active contours method.

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Crossflow Instabilities in the Approximation of Detonation Waves, grow if a discontinuity is nearly aligned with the mesh and if the velocity transverse to the discontinuity is close to zero. When these conditions are met a continuous perturbation of the constant state transverse to the discontinuity can cause the crossflow instability to grow. In both the reacti

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Wave Propagation Algorithms for Hyperbolic Systems on Curved Manifolds,rential equations on curved manifolds specified by a stationary metric. The algorithm is implemented in the software package CLAWPACK. The implementation of our modified algorithm maintains both the ease of use, and versatility of cLAWPACK, making it useful to a broad class of users. We demonstrate

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Viscosity Solutions for Hyperbolic Systems where Shock Curves are Straight Lines,e global existence of weak solutions was proved by Glimm [.], while the uniqueness and stability of entropy admissible BV solutions was recently established in a series of papers [......]. See also [.] for a comprehensive presentation of these results. A long standing open question is whether these

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Adaptive Finite Elements for Stationary Compressible Flows at Low Mach Number, particular, time stepping schemes are developed where a Poisson problem is solved for pressure updates. In this paper, we propose a different approach for fast computations of stationary solutions. The discretization is made by stabilized finite elements. It allows the analytical construction of th

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