Fluctuation Splitting Schemes for the Compressible and Incompressible Euler and Navier-Stokes Equations

DOI10.1080/10618560008940713zbMath0971.76051OpenAlexW2049605327MaRDI QIDQ2709744

Aldo Bonfiglioli

Publication date: 17 April 2001

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560008940713

zbMATH Keywords

Navier-Stokes equationspreconditioningunstructured meshesEuler equationsNewton iterationturbulent flowsPicard iterationfluctuation splitting schemeslow Mach numberimplicit schemesincompressible equationscompressible equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Shear flows and turbulence (76F10) Finite volume methods applied to problems in fluid mechanics (76M12) General aerodynamics and subsonic flows (76G25) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (8)

An unstructured, three-dimensional, shock-fitting solver for hypersonic flows ⋮ A mass-matrix formulation of unsteady fluctuation splitting schemes consistent with Roe’s parameter vector ⋮ Extrapolated discontinuity tracking for complex 2D shock interactions ⋮ Computation of weak steady shock reflections by means of an unstructured shock-fitting solver ⋮ RANS simulations of a junction flow ⋮ Numerical simulation of shock/boundary-layer interaction using an unstructured shock-fitting technique ⋮ Shock interaction computations on unstructured, two-dimensional grids using a shock-fitting technique ⋮ Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods

Cites Work

• A multidimensional generalization of Roe's flux difference splitter for the Euler equations
• A numerical method for the vorticity-velocity Navier-Stokes equations in two and three dimensions
• Review of preconditioning methods for fluid dynamics
• A parallel, implicit, multi-dimensional upwind, residual distribution method for the Navier-Stokes equations on unstructured grids
• A numerical method for solving incompressible viscous flow problems

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