MAST-RT0 solution of the incompressible Navier–Stokes equations in 3D complex domains

Aricò, Costanza; Sinagra, Marco; Picone, Calogero; Tucciarelli, Tullio

doi:10.1080/19942060.2020.1860830

Cited by 3 publications

(22 citation statements)

References 78 publications

(107 reference statements)

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“…As mentioned in the Introduction, the solutions of the fluid flow and thermal problems are split within each time iteration. The velocity and pressure fields are computed applying the MAST-RT0 procedure, recently proposed in [31] for the solution of the INSEs, and specifically adapted in the present paper to account for the buoyancy term in the momentum equation. In the framework of the MAST-RT0 procedure, one predictor and two corrector problems, named FPS, FCS1 and FCS2 respectively, are solved.…”

Section: The Numerical Solvermentioning

confidence: 99%

“…The MAST-RT0 procedure is briefly revised in this section. Readers are referred to [31] for details. The FPS and FCS1 steps solve the momentum equations, while the mass and the momentum conservations equations are combined in FCS2 to enforce the divergence-free condition.…”

Section: The Solver Of the Fluid Dynamic Problemmentioning

confidence: 99%

“…is at least one unit greater than the maximum rank of the neighboring triangles ep with a common side crossed by a flux entering e from ep. The calculation of these ranks is a fast operation performed at each time iteration (see the procedure in [31]). Integrating in space Eq.…”

Section: Solution Of Fpsmentioning

confidence: 99%

“…Setting for each triangle e and , with and ( 22), and applying the Green lemma to the integrals in Eq. ( 21), after simple manipulations, system (21) can be written as [31] (23), to be solved for the two components of the velocity correction . is the length of the j-th side of triangle e and d e,ep is the distance of the circumcenters of the two neighboring triangles e and ep, computed as specified in [31].…”

Section: Solution Of Fcs1mentioning

confidence: 99%

“…( 21), after simple manipulations, system (21) can be written as [31] (23), to be solved for the two components of the velocity correction . is the length of the j-th side of triangle e and d e,ep is the distance of the circumcenters of the two neighboring triangles e and ep, computed as specified in [31]. d e,ep is always positive if the mesh guarantees the EDP.…”

Section: Solution Of Fcs1mentioning

confidence: 99%

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Section: The Solver Of the Fluid Dynamic Problemmentioning

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MAST-RT0 solution of the incompressible Navier–Stokes equations in 3D complex domains

Cited by 3 publications

References 78 publications

A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids

A new solver for incompressible non-isothermal flows in natural and mixed convection over unstructured grids

A New Numerical Mesoscopic Scale One-Domain Approach Solver for Free Fluid/Porous Medium Interaction

A New Cross-Flow Type Turbine for Ultra-Low Head in Streams and Channels

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