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On a new defect of shock-capturing methods
Journal of Computational Physics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Kudriakov, W. H. Hui
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Shock-Capturing Algorithm for the Navier-Stokes Equations
AIAA Journal, 1981An implicit numerical algorithm for the unsteady Euler and Navier-Stokes equations is presented. This algorithm is based on flux vector splitting to retain the proper direction of information flow in the algorithm's numerical domain of dependence and on a finite volume formulation to ensure conservation.
Reklis, R. P., Thomas, P. D.
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Shock-Capturing Approach and Nonevolutionary Solutions in Magnetohydrodynamics
Journal of Computational Physics, 1996The authors show the possibility of non-evolutionary or unstable solutions in magnetohydrodynamics when using the shock capturing model. The results obtained are compared with earlier results and are shown to be better ones.
Barmin, A. A. +2 more
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Shock-capturing schemes for L.E.S. applications
2008Numerical simulations of freely decaying isotropic turbulence were performed at two different Mach numbers (0.2 and 1.0) using known shock-capturing Euler schemes (Jameson, TVD-MUSCL, ENO). The potential of the Monotone Integrated Large-Eddy Simulation (MILES) approach was investigated by carrying out computations without viscous diffusion terms. These
Garnier, E. +4 more
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A Subgrid-Scale Deconvolution Approach for Shock Capturing
Journal of Computational Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, N. A., Stolz, S.
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Projection shock capturing algorithms
2008discretized in time and space with step sizes At, £xx and Ay, t~ = n a t , xj = j£xx, Yk = kay. The numerical solution in the point (t~, xj, Yk) is denoted by uj~ and the entire solution at t ime t~ is u ~ and a function of j, k. We consider the solution of the above problem with finite difference methods.
Björn Engquist, Björn Sjögreen
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High‐order shock capturing schemes for turbulence calculations
International Journal for Numerical Methods in Fluids, 2007AbstractThis 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. +2 more
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Shock capturing with Padé methods
Applied Mathematics and Computation, 1998The 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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Rotating dissipation for accurate shock capture
AIAA Journal, 1996We 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 +2 more
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Conjugate filter approach for shock capturing
Communications in Numerical Methods in Engineering, 2002AbstractThis 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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