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Detection of Shock Waves from Shock-capturing Solutions

, 2013
A new technique for detecting shock waves in compressible flow solutions computed by means of shock-capturing solvers is proposed and discussed. This newly developed technique uses the Hough transform and a least squares fit to further post-process the data provided by a classical shock detection technique based on local criteria.
PACIORRI, Renato, A. Bonfiglioli
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On a new defect of shock-capturing methods

Journal of Computational Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Kudriakov, W. H. Hui
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On the Accuracy of Shock-Capturing Schemes Calculating Gas-Dynamic Shock Waves

Журнал вычислительной математики и математической физики, 2023
A comparative experimental accuracy study of three shock-capturing schemes (the second-order CABARET, third-order Rusanov, and fifth-order in space third-order in time A-WENO schemes) is carried out by numerically solving a Cauchy problem with smooth periodic initial data for the Euler equations of gas dynamics.
Kolotilov, V. A., Kurganov, A. A., Ostapenko, V. V., Khandeeva, N. A., Chu, S.   +4 more
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Shock-Capturing Algorithm for the Navier-Stokes Equations

AIAA Journal, 1981
An 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 schemes for L.E.S. applications

2008
Numerical 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., Sagaut, Pierre, Mossi, Michèle, Deville, Michel, Comte, P.   +4 more
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Capturing Shock Reflections: An Improved Flux Formula

Journal of Computational Physics, 1996
We consider several situations in which Roe's scheme gives incorrect results (or blows up all together), and we propose an alternative flux formula that produces numerical approximations in which the pathological behavior is either eliminated or reduced to computationally acceptable levels.
Donat, Rosa, Marquina, Antonio
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Shock-Capturing Approach and Nonevolutionary Solutions in Magnetohydrodynamics

Journal of Computational Physics, 1996
The 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., Kulikovskiy, A. G., Pogorelov, N. V.   +2 more
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Projection shock capturing algorithms

2008
discretized 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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A Subgrid-Scale Deconvolution Approach for Shock Capturing

Journal of Computational Physics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, N. A., Stolz, S.
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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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