Titlebook: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws; Lectures Presented a Rainer Ansorge,Hester Bijl,Thomas Sonar

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On One-Dimensional Low Mach Number Applications,ion is appropriate. For such flows we discuss various asymptotic regimes in the vanishing Mach number limit. In the first example we study the flow in a chimney. In the second example we investigate the gas dynamics in a so-called Energy Tower, a power plant designed for producing electrical energy

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High Order and Underresolution,ior of high order methods for the well resolved case is undisputed, in case of underresolution, the answer is not as clear. The controversy originates from the fact that . is a concept for discretization parameters tending to zero, whereas . is synonym for large discretization parameters. However, t

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Solving Nonlinear Systems Inside Implicit Time Integration Schemes for Unsteady Viscous Flows,design of rockets and the computation of the bow shock at supersonic speeds and continued with the aerodynamic design of airplanes at transonic cruising speed [14]. Only in the last decade, increasing focus has been put on unsteady flows, which are more difficult to compute. This has several reasons

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linear

Quantification of Numerical and Physical Mixing in Coastal Ocean Model Applications,xing of a scalar is defined as the decay of the square of the scalar due to the three-dimensional advection discretisation. It is shown that for any advection scheme the numerical mixing can be calculated as the difference between the advected square of the scalar and the square of the advected trac

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Minikin

An Adaptive Artificial Viscosity Method for the Saint-Venant System,mi-discrete finite-volume method based on an appropriate numerical flux and a high-order piecewise polynomial reconstruction. The latter is utilized without any computationally expensive nonlinear limiters, which are typically needed to guarantee nonlinear stability of the scheme. Instead, we enforc

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,Discontinuous Galerkin Method – A Robust Solver for Compressible Flow,f the domain occupied by the fluid is taken into account with the aid of the ALE (Arbitrary Lagrangian-Eulerian) formulation of the Euler and Navier-Stokes equations describing compressible flow. They are discretized in space by the discontinuous Galerkin (DG) finite element method using piecewise p

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