Titlebook: Godunov Methods; Theory and Applicati E. F. Toro Book 2001 Kluwer Academic / Plenum Publishers, New York 2001 Mathematica.algorithms.discre

脖子

Simulations of Relativistic Jets with Genesis,The multidimensional relativistic hydrodynamic code GENESIS has been used to obtain first results of . simulations of relativistic jets. We have studied the influence of a slight perturbation of the injection velocity field on the morphodynamics of otherwise axisymmetric relativistic jets.

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Exact Computation in Numerical Linear Algebra: The Discrete Fourier Transform,An encoding of the rational rotations is introduced which allows all rational affine transformations to be computed exactly. This encoding is used in combination with transrational numbers to give total trigonometric functions. It is shown how these functions can be used to compute indefinitely many digits of the Discrete Fourier Transform.

omnibus

Numerical Experiments with Multilevel Schemes for Conservation Laws,Main steps of a point-value multilevel algorithm are presented and numerical results for a two dimensional test case of gas dynamics are discussed in terms of quality and efficiency.

虚弱

Some New Godunov and Relaxation Methods for Two-Phase Flow Problems,We consider a model for two-phase flows for which we construct an explicit finite volume numerical method based on an operator splitting. The extension to general pressure laws is done via an energy relaxation method. A new large-time step explicit scheme is also introduced.

罗盘

Relativistic Jets from Collapsars, ( ≲ few degrees) and reaches the surface of the stellar progenitor (r ≈ 310. cm) intact. At break-out the maximum Lorentz factor of the jet flow is about 33. Simulations have been performed with the GENESIS multi-dimensional relativistie hydrodynamic code.

WATER

Comparative Study of HLL, HLLC and Hybrid Riemann Solvers in Unsteady Compressible Flows,e been used in conjunction with MUSCL interpolation for obtaining high resolution and a second-order accurate implicit-unfactored method. The latter provides time accurate solutions through Newton sub-iterations and Gauss-Seidel relaxation.

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BUOY

A Higher-Order-Accurate Reconstruction for the Computation of Compressible Flows on Cell-Vertex Tris a standard central discretization is used for the viscous terms. The method is validated by computing the transonic inviscid flow in a two-dimensional cascade and the laminar flow past the NACA-0012 airfoil with incidence.

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Development of Genuinely Multidimensional Upwind Residual Distribution Schemes for the System of Eie term approach. Time integration is done by using both explicit and implicit strategies. The spatial accuracy and the shock capturing properties of the schemes in the steady state are investigated numerically. Computational results are shown for a . channel flow.