Execution of a parallel edge-based Navier–Stokes solver on commodity graphics processor units

Corral, Roque; Gisbert, Fernando; Pueblas, Jesús

doi:10.1080/10618562.2017.1294686

Cited by 29 publications

(9 citation statements)

References 16 publications

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“…A matricial form of the numerical dissipation terms is used recurring to the Roe's matrix. The code is parallelized using MPI and executed in GPUs to reduce the turn around time (Corral et al, 2017).…”

Section: Numerical Setupmentioning

confidence: 99%

Impact of Downstream Potential Perturbations on the Nonlinear Stability of a Generic Fan

Romera¹,

Corral²

2020

Proceedings of Global Power &Amp; Propulsion Society

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The dependence of the aerodynamic stability of fan blades with amplitude and nodal diameter of potential perturbations associated with the presence of pylons is studied. The analysis is conducted using a novel block-wise spatial Fourier decomposition of the reduced-passages to reconstruct the full-annulus solution. The method represents very efficiently unsteady flows generated by outlet static pressure non-uniformities. The explicit spatial Fourier approximation is exploited to characterize the relevance of each nodal diameter of outlet perturbations in the fan stall process, and its nonlinear stability is studied in a harmonic by harmonic basis filtering the nonlinear contribution of the rest. The methodology has been assessed for the NASA rotor 67. The maximum amplitude of the downstream perturbation at which the compressor becomes unstable and triggers a stall process has been mapped. It is concluded that the fan stability dependence with the amplitude of the perturbation is weaker than in the case of intake distortion. For perturbations with an odd number of nodal diameters, the nonlinear stability analysis leads to the same conclusions as to the small amplitude linear stability analysis. However, if the perturbations have an even number nodal diameters, the flow exhibits a supercritical bifurcation and have a stabilizing effect.

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Section: Numerical Setupmentioning

confidence: 99%

Impact of Downstream Potential Perturbations on the Nonlinear Stability of a Generic Fan

Romera¹,

Corral²

2020

Proceedings of Global Power &Amp; Propulsion Society

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“…Continuity equation and Reynolds-averaged Navier-Stokes [30,31] are employed to solve the flow field of an incompressible fluid in Cartesian coordinates as follows:…”

Section: Governing Equationsmentioning

confidence: 99%

Numerical investigation of flow pattern around a T-shaped spur dike in the vicinity of attractive and repelling protective structures

Vaghefi

Faraji

Akbari

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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This piece of research simulated the flow pattern around a T-shaped spur dike in the vicinity of attractive and repelling protective structures in a 90°bend using computational fluid dynamic (CFD) model. This CFD analysis has utilized RNG turbulence model to simulate turbulent flow field, and free surface variations were modeled through finite volume of fluid. A comparison between mean velocities in the main spur dike field was indicative of an acceptable precision of CFD model in simulating flow pattern along river bends in the presence of a spur dike. This numerical model mainly aimed at a scrutinizing study of the process of flow pattern around the T-shaped spur dike, the maximum velocity variations, the secondary flow strength, and the maximum stresses along the bend and the main spur dike field. Results demonstrated an increase in the maximum shear stress in attractive and repelling modes of the protective structure by 23.5 and 17.6%, respectively, in comparison with the vertical mode.

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“…In order to validate the simplified numerical model, several two-dimensional unsteady simulations at different Reynolds numbers were performed. The flow solver, known as M u 2 s 2 T (Burgos et al 2011;Corral et al 2017), is based on a second order discretisation, both in space and time, of the Navier-Stokes equations. Turbulence models were switched off to force the flow remain laminar.…”

Section: Comparison With Two-dimensional Axisymmetric Simulationsmentioning

confidence: 99%

On the transient behaviour of a laminar rotor–stator cavity

Corral

Romera

2018

J. Fluid Mech.

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The unsteady laminar flow between two large rotating disks when one of them is impulsively started is described using the von Kármán similarity analysis to reduce the solution of the Navier–Stokes equations to a set of ordinary differential equations. It is found that the transient phenomenon consists of three distinct phases. Firstly, the development of the Ekman boundary layer, where a quasi-steady Stewartson-type of flow is created. Secondly, angular momentum is initially diffused in the axial direction until the inward radial convection of angular momentum becomes dominating. Thirdly, a Batchelor flow is created once the Bödewadt boundary layer is developed and the entrainment of disk and stator boundary layers are balanced. The dependences of the characteristic dimensionless times on the Reynolds number based on the cavity gap for the second and third stages have been identified numerically and analytically. It is found that the diffusive part of the transient is bypassed if the flow, initially at rest, is perturbed with a small circumferential velocity. The flow and heat transfer transient during a ramp of finite duration has been computed numerically. The integral angular momentum and energy balances of the cavity have been performed in order to understand the energy and momentum budget of the cavity. It is concluded that the spin-up and the spin-down process of a rotor–stator cavity using a quasi-stationary approximation of the fluid, where the time derivatives are neglected, is questionable for realistic gas turbine applications. Finally, the self-similar solution is compared against two-dimensional axisymmetric, steady and unsteady, laminar simulations to assess the limitations and validity of the self-similar analysis. It has been identified that in a closed squared cavity the outer shroud modifies the physics of the transient, but the general conclusions drawn from the one-dimensional model are still valid.

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Execution of a parallel edge-based Navier–Stokes solver on commodity graphics processor units

Cited by 29 publications

References 16 publications

Impact of Downstream Potential Perturbations on the Nonlinear Stability of a Generic Fan

Impact of Downstream Potential Perturbations on the Nonlinear Stability of a Generic Fan

Numerical investigation of flow pattern around a T-shaped spur dike in the vicinity of attractive and repelling protective structures

On the transient behaviour of a laminar rotor–stator cavity

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