Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation

DOI10.1016/j.jcp.2005.05.011zbMath1113.76058OpenAlexW2057224857MaRDI QIDQ2568077

Mihaela Popescu, Wei Shyy, Marc Garbey

Publication date: 7 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.05.011

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hydro- and aero-acoustics (76Q05)

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Cites Work

• Unnamed Item
• Designing an efficient solution strategy for fluid flows. I: A stable high order finite difference scheme and sharp shock resolution for the Euler equations
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• A study of finite difference approximations to steady state, convection- dominated flow problems
• Far field boundary conditions for compressible flows
• Conservative smoothing on an adaptive quadrilateral grid
• \(2N\)-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
• Wall boundary conditions for high-order finite difference schemes in computational aeroacoustics
• Multiphase dynamics in arbitrary geometries on fixed Cartesian grids
• A 2D analysis of the influence of artificial viscosity terms on solutions of the Euler equations
• On analogy and dissimilarity of dependence of stability on several parameters in flow simulations.
• Optimized prefactored compact schemes.
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
• The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• A note on the effect of artificial viscosity on solutions of conservation laws
• The space-time conservation element and solution element method: A new high-resolution and genuinely multidimensional paradigm for solving conservation laws
• An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
• A Cartesian grid finite-volume method for the advection-diffusion equation in irregular geometries
• Compact implicit MacCormack-type schemes with high accuracy
• A STUDY OF THE SHORT WAVE COMPONENTS IN COMPUTATIONAL ACOUSTICS
• Uniformly Accurate Finite Difference Schemes forp-Refinement
• Low-Dispersion Finite Volume Scheme for Aeroacoustic Applications
• Comparison of higher resolution Euler schemes for aeroacoustic computations
• Grid-optimized dispersion-relation-preserving schemes on general geometries for computational aeroacoustics
• Optimized weighted essentially nonoscillatory schemes for linear waves with discontinuity
• A fixed-grid, sharp-interface method for bubble dymamics and phase change.

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