Conservative Finite Differences as an Alternative to Finite Volume for Compressible Flows

DOI10.1007/978-3-319-05684-5_15zbMath1304.76042OpenAlexW2115240856MaRDI QIDQ2926169

Jens Brouwer, Julius Reiss, Jörn Sesterhenn

Publication date: 31 October 2014

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-05684-5_15

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Compressible fluids and gas dynamics (76Nxx)

Related Items (1)

Linear forcing of compressible isotropic turbulence in rectangular domains with adapted locally refined grids

Cites Work

• A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids
• A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations
• Generation of turbulent inflow data for spatially-developing boundary layer simulations
• Summation by parts for finite difference approximations for \(d/dx\)
• Conservative time integrators of arbitrary order for skew-symmetric finite-difference discretizations of compressible flow
• A conservative, skew-symmetric finite difference scheme for the compressible Navier-Stokes equations
• Symmetry-preserving discretization of turbulent flow.
• Turbulence in supersonic boundary layers at moderate Reynolds number
• Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation

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