Results 261 to 270 of about 593,105 (299)

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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Weighted Compact Scheme for Shock Capturing

International Journal of Computational Fluid Dynamics, 2001
Abstract In this paper a new class of finite difference schemes - the Weighted Compact Schemes are proposed. According to the idea of the WENO schemes, the Weighted Compact Scheme is constructed by a combination of the approximations of derivatives on candidate stencils with properly assigned weights so that the non-oscillatory property is achieve when
LI JIANG, HUA SHAN, CHAOQUN LIU
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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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Residual-based shock capturing in solids

Computer Methods in Applied Mechanics and Engineering, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuri Bazilevs, David Kamensky, Georgios Moutsanidis, Shaunak Shende   +3 more
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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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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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Shock capturing using interpolatory wavelets

38th Midwest Symposium on Circuits and Systems. Proceedings, 2002
In this paper we discuss an adaptive method for the computation of discontinuous solutions of hyperbolic conservation laws. In each time level we use techniques coming from interpolatory multiresolution analyses for detecting discontinuities of the solution.
C. Cunha, S.M. Gomes
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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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Shock-Capturing Schemes in Computational MHD

2008
The purpose of the present review is to present and discuss some introductory aspects relevant to computational compressible magnetohydrodynamics (MHD). The shock-capturing framework developed for the Euler equations of gasdynamics is extended to MHD by illustrating differences and additional complexities introduced by the presence of magnetic fields ...
A. Mignone, G. Bodo
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