A Sub-cell Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations

Kumar, N Nikhil; Boonkkamp, J. H. M. ten Thije; Koren, Barry

doi:10.1007/978-3-319-19800-2_26

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Finite Volume Methods1

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2016

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“…For example, the nonlinear term u 2 in f u,x is linearised as U u, where U is the approximation of the interface velocity. The details regarding the iterative computation of the interface velocities using local BVPs are given in [4,5]. Thus, for the approximation of the flux f u,x i+1,j we solve the linearised local BVP…”

Section: Finite Volume Methodsmentioning

confidence: 99%

Flux Approximation Scheme for the Incompressible Navier-Stokes Equations Using Local Boundary Value Problems

Kumar

Boonkkamp

Koren

2016

Lecture Notes in Computational Science and Engineering

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Abstract. We present a flux approximation scheme for the incompressible NavierStokes 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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Section: Finite Volume Methodsmentioning

confidence: 99%