A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

R Steijl,H W M Hoeijmakers

doi:10.1007/978-94-011-4513-8_33

A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

R Steijl, H W M Hoeijmakers

https://doi.org/10.1007/978-94-011-4513-8_33

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Publication Date: Jan 1, 1999

Affiliation: University of Twente

#Second-order Accuracy In Time #Spectral-like Resolution + Show 8 more

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Abstract

The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).

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