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A novel reduced-order characteristic-wise reconstruction for shock-capturing finite difference schemes in the gas-dynamics system

https://doi.org/10.2139/ssrn.5472846
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Weak solutions of nonlinear hyperbolic equations and their numerical computation
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Weighted Essentially Non-oscillatory Schemes
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Efficient Implementation of Weighted ENO Schemes
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A Fourth-Order Symmetric WENO Scheme with Improved Performance by New Linear and Nonlinear Optimizations
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A New Discontinuity Indicator for Hybrid WENO Schemes
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Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
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High resolution schemes for hyperbolic conservation laws
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The numerical simulation of two-dimensional fluid flow with strong shocks
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Uniformly high order accurate essentially non-oscillatory schemes, III
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Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
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A robust and efficient component-wise WENO scheme for Euler equations
inferredcites →https://doi.org/10.1016/j.cnsns.2023.107112openalex-snapshot
A robust common-weights WENO scheme based on the flux vector splitting for Euler equations
inferredcites →https://doi.org/10.1016/j.compfluid.2016.10.006openalex-snapshot
Some recent progress of high-order methods on structured and unstructured grids in CARDC
inferredcites →https://doi.org/10.1016/j.compfluid.2018.08.008openalex-snapshot
An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations
inferredcites →https://doi.org/10.1016/j.jcp.2003.07.006openalex-snapshot
A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws
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Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
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An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.jcp.2011.05.023openalex-snapshot
Scale separation for implicit large eddy simulation
inferredcites →https://doi.org/10.1016/j.jcp.2015.07.049openalex-snapshot
Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities
inferredcites →https://doi.org/10.1016/j.jcp.2015.10.037openalex-snapshot
A family of high-order targeted ENO schemes for compressible-fluid simulations
inferredcites →https://doi.org/10.1016/s1007-5704(96)90011-8openalex-snapshot
Weighted ENN difference schemes
inferredcites →https://doi.org/10.1090/s0025-5718-98-00913-2openalex-snapshot
Total variation diminishing Runge-Kutta schemes
inferredcites →https://doi.org/10.1137/s1064827595291819openalex-snapshot
Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
inferredcites →https://doi.org/10.2514/1.j057370openalex-snapshot
Improved Five- and Six-Point Targeted Essentially Nonoscillatory Schemes with Adaptive Dissipation
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