Results 1 to 10 of about 21,964 (166)
A coupled smoothed particle hydrodynamics-finite volume approach for shock capturing in one-dimension [PDF]
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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A general framework for the evaluation of shock-capturing schemes
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Guoyan Zhao +2 more
exaly +5 more sources
On the numerical overshoots of shock‐capturing schemes [PDF]
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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A New ϵ-Adaptive Algorithm for Improving Weighted Compact Nonlinear Scheme with Applications
To improve the resolution and accuracy of the high-order weighted compact nonlinear scheme (WCNS), a new ϵ-adaptive algorithm based on local smoothness indicators is proposed.
Ziquan Huang +3 more
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A Modal-Decay-Based Shock-Capturing Approach for High-Order Flux Reconstruction Method
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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Discontinuity Preserving Scheme [PDF]
Non-linear schemes are widely used in high-speed flows to capture the discontinuities present in the solution. Limiters and weighted essentially non-oscillatory schemes (WENO) are the most common non-linear numerical schemes.
Arun Govind Neelan, Manoj T. Nair
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MSAT: Matrix stability analysis tool for shock-capturing schemes
The simulation of supersonic or hypersonic flows often suffers from numerical shock instabilities if the flow field contains strong shocks, limiting the further application of shock-capturing schemes.
Weijie Ren +4 more
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Nonconservative Hybrid Shock Capturing Schemes [PDF]
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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Shock‐capturing with natural high‐frequency oscillations [PDF]
AbstractThis paper explores the potential of a newly developed conjugate filter oscillation reduction (CFOR) scheme for shock‐capturing under the influence of natural high‐frequency oscillations. The conjugate low‐ and high‐pass filters are constructed based on the principle of the discrete singular convolution (DSC), a local spectral method.
Zhou, Y.C., Gu, Y., Wei, G.W.
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The Saint-Venant equations are numerically solved to simulate free surface flows in one dimension. A Riemann solver is needed to compute the numerical flux for capturing shocks and flow discontinuities occurring in flow situations such as hydraulic jump,
D. Satyaprasad +2 more
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