On the estimation of artificial dissipation and dispersion errors in a generic partial differential equation

DOI10.1016/j.jcp.2019.07.041zbMath1453.65279OpenAlexW2963882704WikidataQ114163513 ScholiaQ114163513MaRDI QIDQ2222511

Guangrui Sun, J. Andrzej Domaradzki, Giacomo Castiglioni

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.07.041

zbMATH Keywords

numerical dissipationnumerical dispersionnumerical error

Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• Unnamed Item
• On the spectral properties of shock-capturing schemes
• Analysis of numerical errors in large eddy simulation using statistical closure theory
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
• Compact finite difference schemes with spectral-like resolution
• Assessing the numerical dissipation rate and viscosity in numerical simulations of fluid flows
• A numerical dissipation rate and viscosity in flow simulations with realistic geometry using low-order compressible Navier-Stokes solvers
• Effects of numerical dissipation on the interpretation of simulation results in computational fluid dynamics
• On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES / under-resolved DNS of Euler turbulence
• A quantification method for numerical dissipation in quasi-DNS and under-resolved DNS, and effects of numerical dissipation in quasi-DNS and under-resolved DNS of turbulent channel flows
• Implicit LES using adaptive filtering
• An analysis of numerical errors in large-eddy simulations of turbulence
• Efficient implementation of weighted ENO schemes
• Scalar excursions in large-eddy simulations
• A regularization of the Burgers equation using a filtered convective velocity
• Effective eddy viscosities in implicit large eddy simulations of turbulent flows
• Effective eddy viscosities in implicit modeling of decaying high Reynolds number turbulence with and without rotation

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