A coupled smoothed particle hydrodynamics-finite volume approach for shock capturing in one-dimension [PDF]
Heliyon, 2023 A novel approach coupling the finite volume method code Pyro2 and the smoothed particle hydrodynamics code PySPH is introduced and applied to one-dimensional shock problems.
Conner Myers +2 more
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Improvement of Z-Weighted Function Based on Fifth-Order Nonlinear Multi-Order Weighted Method for Shock Capturing of Hyperbolic Conservation Laws [PDF]
EntropyBased on a 5-point stencil and three 3-point stencils, a nonlinear multi-order weighted method adaptive to 5-3-3-3 stencils for shock capturing is presented in this paper.
Jinwei Bai +4 more
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A general framework for the evaluation of shock-capturing schemes
Journal of Computational Physics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoyan Zhao +2 more
exaly +5 more sources
Theoretical link in numerical shock thickness and shock-capturing dissipation
Journal of Computational PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshiharu Tamaki, Soshi Kawai
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On the numerical overshoots of shock‐capturing schemes [PDF]
International Journal for Numerical Methods in Fluids, 2021 AbstractThis note introduces a simple metric for benchmarking shock‐capturing schemes. This metric is especially focused on the shock‐capturing overshoots, which may undermine the robustness of numerical simulations, as well as the reliability of numerical results.
Huaibao Zhang, Fan Zhang
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Entropy Stable DGSEM Schemes of Gauss Points Based on Subcell Limiting
Entropy, 2023 The discontinuous Galerkin spectral element method (DGSEM) is a compact and high-order method applicable to complex meshes. However, the aliasing errors in simulating under-resolved vortex flows and non-physical oscillations in simulating shock waves may
Yang Liu +4 more
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A Modal-Decay-Based Shock-Capturing Approach for High-Order Flux Reconstruction Method
Aerospace, 2022 The increasing demand for high-fidelity simulations of compressible turbulence on complex geometries poses a number of challenges for numerical schemes, and plenty of high-order methods have been developed.
Libin Ma, Chao Yan, Jian Yu
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An Improved Component-Wise WENO-NIP Scheme for Euler System
Mathematics, 2022 As is well known, due to the spectral decomposition of the Jacobian matrix, the WENO reconstructions in the characteristic-wise fashion (abbreviated as CH-WENO) need much higher computational cost and more complicated implementation than their ...
Ruo Li, Wei Zhong
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Shock capturing with the high‐order flux reconstruction method on adaptive meshes based on p4est
Engineering Reports, 2022 High order schemes have been investigated for quite a long time, and the flux reconstruction (FR) scheme proposed by Huynh recently attracts the attention of researchers due to its simplicity and efficiency.
Hao Fu, Jian Xia, Xiuqiang Ma
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Nonconservative Hybrid Shock Capturing Schemes [PDF]
Journal of Computational Physics, 1992 Hybrid schemes are suggested for a hyperbolic system of conservation laws based on the selection in each node of a difference grid of a suitable approximation of equations via constructed analyzers of the solution smoothness. In the smooth regions, the solution is obtained by easily realized high-order systems based on Runge-Kutta methods with the ...
Harabetian, Eduard, Pego, Robert L.
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