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On the Spectral Properties of Shock-Capturing Schemes
Journal of Computational Physics, 2006In this short note we analyze the performance of nonlinear, shock-capturing schemes in wavenumber space. For this purpose we propose a new representation for the approximate dispersion relation which accounts to leading order for nonlinear effects. Several examples are presented, which confirm that the present theory yields an improved qualitative ...
Sérgio Pirozzoli
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Residual-Based Shock Capturing in Solids
Computer Methods in Applied Mechanics and Engineering, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georgios Moutsanidis +2 more
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Shock Capturing with Discontinuous Galerkin Method [PDF]
Shock capturing has been a challenge for computational fluid dynamicists over the years. This article deals with discontinuous Galerkin method to solve the hyperbolic equations in which solutions may develop discontinuities in finite time. The high order discontinuous Galerkin method combining the basis of finite volume and finite element methods has ...
Nguyen, Vinh Tan +3 more
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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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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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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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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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