Results 261 to 270 of about 593,106 (293)

Convergence Analysis of Shock-Capturing and Shock-Fitting Solutions on Unstructured Grids

AIAA Journal, 2014
A new shock-fitting technique for unstructured two- and three-dimensional meshes has been recently proposed and developed by the authors. In the present paper, both global and local a posteriori grid-convergence analysis is used to quantitatively measure the discretization error and order of convergence of the numerical solutions obtained using this ...
Aldo Bonfiglioli, PACIORRI, Renato
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Shock-Capturing Anomaly in the Interaction of Unsteady Disturbances with a Stationary Shock

AIAA Journal, 2021
Shock-capturing methods for numerical fluid dynamics are capable of correctly representing the flow conditions across shocks. However, there is no guarantee that the methods remain equally applicable for unsteady problems of shock–disturbance interaction. Based on the results of wide parametric computations, this paper demonstrates an inherent weakness
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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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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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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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On Numerical Shock Instability of Low Diffusion Shock-Capturing Schemes

2019
Low diffusion shock-capturing schemes are known to produce numerical shock anomalies in hypersonic flow computations. In the current study, we conduct a stability analysis of the Roe approach. It has been found that the shock instability can be effectively suppressed if enough entropy production can be guaranteed inside the numerical shock structure ...
W. J. Xie, Ye Zhang, Ran Zhang, Hua Li
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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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Conjugate filter approach for shock capturing

Communications in Numerical Methods in Engineering, 2002
AbstractThis paper introduces a new scheme for the numerical computation involving shock waves. The essence of the scheme is to adaptively implement a conjugate low‐pass filter to effectively remove the accumulated numerical errors produced by a set of high‐pass filters.
Gu, Y., Wei, G.W.
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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 construction of shock-capturing boundary closures for high-order finite difference method

Computers and Fluids, 2023
Yaming Chen, Jiaxian Qin
exaly