Smooth and compactly supported viscous sub-cell shock capturing for discontinuous Galerkin methods
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Publication:2000040
DOI10.1007/s10915-018-0850-3zbMath1464.65120arXiv1810.02152OpenAlexW2996049431WikidataQ129053551 ScholiaQ129053551MaRDI QIDQ2000040
A. C. jun. Nogueira, C. A. C. Silva, J. L. S. Almeida, R. F. Cantão, Jan Glaubitz
Publication date: 27 June 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.02152
artificial viscosityEuler equationshyperbolic conservation lawsdiscontinuous Galerkin methodsshock capturing
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Viscosity solutions to PDEs (35D40) Euler equations (35Q31)
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A data-driven high order sub-cell artificial viscosity for the discontinuous Galerkin spectral element method, Towards stable radial basis function methods for linear advection problems, High Order Edge Sensors with $\ell^1$ Regularization for Enhanced Discontinuous Galerkin Methods, Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions, Shock capturing by Bernstein polynomials for scalar conservation laws, Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points, Parametric interpolation framework for scalar conservation laws, Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods, Utilizing time-reversibility for shock capturing in nonlinear hyperbolic conservation laws
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