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Showing 1 to 4 of 4 for “"Erhaltungssatz"”.
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Multidimensional systems of hyperbolic conservation laws, numerical schemes, and characteristic theory : connections, differences, and numerical comparison
Many physical problems, for example the behaviour of a compressible fluid, can be modelled as systems of hyperbolic conservation laws, d/dt U + div.F(U) = 0, if certain effects (for instance viscosity) are neglected. One of the first computational schemes for systems of conservation laws was …
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High-order methods for convection dominated nonlinear problems using multilevel techniques
For industrial aerodynamic applications to compressible flow simulation, finite volume methods with low order of consistency are a mature technology, usually combined with shock capturing techniques. However, high accuracy is needed for those problems which involve a wide range of spatial and …
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Three-dimensional staggered grids for systems of hyperbolic conservation laws
In 1990 Nessyahu and Tadmor proposed an impressively simple Riemann-solver free Finite Volume staggered grid scheme for the approximate solution of systems of conservation laws in one spatial dimension. The scheme itself is a natural extension of the first order Lax-Friedrichs scheme to second …
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Adaptive timestepping for conservation laws via adjoint error representation
We study a recent timestep adaptation technique for hyperbolic conservation laws. The core of the method is a space-time splitting of adjoint error representations for target functionals due to Süli [47] and Hartmann [29]. It provides an efficient choice of timesteps for implicit computations of …