Results 261 to 270 of about 895,705 (300)

High‐order shock capturing schemes for turbulence calculations

International Journal for Numerical Methods in Fluids, 2007
AbstractThis work investigates high‐order central compact methods for simulating turbulent supersonic flows that include shock waves. Several different types of previously proposed characteristic filters, including total variation diminishing, monotone upstream‐centered scheme for conservation laws, and weighted essentially non‐oscillatory filters, are
Lo, S.-C., Blaisdell, G. A., Lyrintzis, A. S.   +2 more
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Shock capturing with Padé methods

Applied Mathematics and Computation, 1998
The article describes the development of a fourth-order Padé shock capturing method for conservation laws. Thereby, the primitive function reconstruction method proposed by \textit{C.-W. Shu} and \textit{S. Osher} [J. Comput. Phys. 77, No. 2, 439-471 (1988; Zbl 0653.65072); ibid. 83, No.
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Developing shock-capturing difference methods

Applied Mathematics and Mechanics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tu, Guo-Hua, Yuan, Xiang-Jiang, Lu, Li-Peng   +2 more
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On the convergence of shock-capturing difference schemes

Doklady Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kovyrkina, O. A., Ostapenko, V. V.
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Lie Symmetry Preservation and Shock-Capturing Methods

SIAM Journal on Numerical Analysis, 2008
It is known that some traditional shock-capturing schemes, including Godunov- or Roe-type schemes, generate downstream oscillatory wave patterns that cannot be effectively dampened by the dissipation methods they provide. The theme of this paper is to understand the formation and behavior at these upstream/downstream patterns from the point view of the
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Rotating dissipation for accurate shock capture

AIAA Journal, 1996
We introduce some concepts related to the upwind multidimensional schemes into a standard central method. We present a new approach to rotated differencing that is simple and efficient in terms of computational efforts. The basic idea is, first, to compute the standard grid-aligned flux (advection + artificial dissipation) and, finally, to use a ...
DE NICOLA, CARLO, G. Iaccarino, TOGNACCINI, RENATO   +2 more
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A shock‐capturing scheme for body‐fitted meshes

International Journal for Numerical Methods in Fluids, 1988
AbstractA finite difference scheme based on flux difference splitting is presented for the solution of the two‐dimensional Euler equations of gas dynamics in a generalized co‐ordinate system. The scheme is based on numerical characteristic decomposition and solves locally linearized Riemann problems using upwind differencing. The decomposition is for a
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On the practical accuracy of shock-capturing schemes

Mathematical Models and Computer Simulations, 2014
Summary: The paper suggests a method which allows to estimate the accuracy of translation of the Rankine-Hugoniots conditions through the shock wave front. The method concerns the calculation of the order of integral convergence of difference solution (as opposed to using its absolute value as in the norm \(L_1)\) on the intervals crossing the shock ...
Kovyrkina, O. A., Ostapenko, V. V.
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Modern shock-capturing schemes

1992
This paper discusses some of the strategies employed for shock-capturing calculations, especially of highly compressible transient flows. In most such cases, the cost of achieving given resolution can be reduced by an order of magnitude or more by employing a grid that adapts dynamically to the evolving solution.
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Synthesis Report on Shock Capturing Strategies

2010
One key problem in higher-order methods is the preservation of monotonicity across discontinuities such as shock waves. This synthesis report gives an overview about the different approaches adopted by the ADIGMA partners, INRIA, NJU, SERAM, UNBG, UNPR, UNST and VKI, who are all involved in the shock capturing workpackage. It shows the current state-of-
Arne Taube, Claus-Dieter Munz
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