Abstract
We present a flux approximation scheme for the incompressible Navier-Stokes equations, that is based on a flux approximation scheme for the scalar advection-diffusion-reaction equation that we developed earlier. The flux is computed from local boundary value problems (BVPs) and is expressed as a sum of a homogeneous and an inhomogeneous part. The homogeneous part depends on the balance of the convective and viscous forces and the inhomogeneous part depends on source terms included in the local BVP.
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Kumar, N., ten Thije Boonkkamp, J.H.M., Koren, B. (2016). Flux Approximation Scheme for the Incompressible Navier-Stokes Equations Using Local Boundary Value Problems. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_5
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DOI: https://doi.org/10.1007/978-3-319-39929-4_5
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