Performance analysis of IDEAL algorithm for three‐dimensional incompressible fluid flow and heat transfer problems

Sun, Defeng; Qu, Zhiguo; He, Ya‐Ling; Tao, Wen‐Quan

doi:10.1002/fld.2004

Cited by 20 publications

(7 citation statements)

References 35 publications

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“…Supporting the findings of Sun et al, 14 IDEAL was found to allow a higher relaxation factor than SIM-PLER and resulted in less iterations to convergence. However, the modest increase in relaxation factor and reduced iterations were nearly offset by the increased computational cost required by IDEAL using the given number of corrector iterations.…”

Section: Va1 Geometry and Boundary Conditionssupporting

confidence: 82%

An Explicit Pressure-Based Algorithm for Incompressible Flows

Garrick

Rajagopalan

2015

22nd AIAA Computational Fluid Dynamics Conference

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A new solution procedure called Diagonal Split Corrected Linked Equations via Operator splitting (DS-CLEO) has been developed for solving the momentum equations in the pressure-based SIMPLER-type formulation of the incompressible Navier-Stokes equations. An explicit momentum predictor step based on a time splitting procedure is shown to possess unconditional stability while only the implicit pressure equation requires a computationally intensive iterative solver. No relaxation of any of the governing equations is necessary to ensure convergence for either steady or unsteady problems. It is demonstrated that pressure-velocity coupling and second order time accuracy is obtained through a set of inner iterations on the pressure and velocity fields using the exact discretized equations. The Diagonal Split procedure offered a 33.9 and 35.9x reduction in runtime compared to SIMPLER for two unsteady problems tested and a minor runtime reduction for steady lid-driven cavity flow.

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Section: Va1 Geometry and Boundary Conditionssupporting

confidence: 82%

An Explicit Pressure-Based Algorithm for Incompressible Flows

Garrick

Rajagopalan

2015

22nd AIAA Computational Fluid Dynamics Conference

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“…The first benchmark-quality solution on the three-dimensional flow at Re= 10 3 was reported by Albensoeder and Kuhlmann. 20 More recently threedimensional steady flows were computed by Turner et al 21 for Re number up to Re= 865 and by Sun et al 22 for Re= 1000 mainly for the purpose of code verification.…”

Section: Introductionmentioning

confidence: 99%

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Feldman

Gelfgat

2010

Physics of Fluids

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A series of time-dependent three-dimensional ͑3D͒ computations of a lid-driven flow in a cube with no-slip boundaries is performed to find the critical Reynolds number corresponding to the steady-oscillatory transition. The computations are done in a fully coupled pressure-velocity formulation on 104 3 , 152 3 , and 200 3 stretched grids. Grid-independence of the results is established. It is found that the oscillatory instability of the flow sets in via a subcritical symmetry-breaking Hopf bifurcation at Re cr Ϸ 1914 with the nondimensional frequency = 0.575. Three-dimensional patterns in the steady and oscillatory flow regimes are compared with the previously studied two-dimensional configuration and a three-dimensional model with periodic boundary conditions imposed in the spanwise direction.

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“…Numerical benchmark data for a Reynolds number of 1000 in a cubic lid driven cavity were reported by Albensoeder and Kuhlmann [2] using a Chebyshev-collocation in space and Adams-Bashforth backward-Euler scheme in time. Steady state results were reported for a Reynolds number of 865 and 1000 respectively by Tuner et al [43] and Sun et al [40] in the code verification and validation studies. Recently, Feldman et al [11] numerically predicted the onset of oscillatory instability in a three-dimensional lid driven flow in a cubic cavity and found that the oscillatory instability of the flow sets in via a symmetry-breaking sub-critical Hopf bifurcation approximately at a Reynolds number of 1914.…”

Section: Introductionmentioning

confidence: 99%

Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method

2014

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In the present work, lattice Boltzmann method (LBM) is applied for simulating flow in a three-dimensional lid driven cubic and deep cavities. The developed code is first validated by simulating flow in a cubic lid driven cavity at 1000 and 12000 Reynolds numbers following which we study the effect of cavity depth on the steady-oscillatory transition Reynolds number in cavities with depth aspect ratio equal to 1, 2 and 3. Turbulence modeling is performed through large eddy simulation (LES) using the classical Smagorinsky sub-grid scale model to arrive at an optimum mesh size for all the simulations. The simulation results indicate that the first Hopf bifurcation Reynolds number correlates negatively with the cavity depth which is consistent with the observations from two-dimensional deep cavity flow data available in the literature. Cubic cavity displays a steady flow field up to a Reynolds number of 2100, a delayed anti-symmetry breaking oscillatory field at a Reynolds number of 2300, which further gets restored to a symmetry preserving oscillatory flow field at 2350. Deep cavities on the other hand only attain an anti-symmetry breaking flow field from a steady flow field upon increase of the Reynolds number in the range explored. As the present work involved performing a set of time-dependent calculations for several Reynolds numbers and cavity depths, the parallel performance of the code is evaluated a priori by running the code on up to 4096 cores. The computational time required for these runs shows a close to linear speed up over a wide range of processor counts depending on the problem size, which establishes the feasibility of performing a thorough search process such as the one presently undertaken.

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Performance analysis of IDEAL algorithm for three‐dimensional incompressible fluid flow and heat transfer problems

Cited by 20 publications

References 35 publications

An Explicit Pressure-Based Algorithm for Incompressible Flows

An Explicit Pressure-Based Algorithm for Incompressible Flows

Oscillatory instability of a three-dimensional lid-driven flow in a cube

Characterization of oscillatory instability in lid driven cavity flows using lattice Boltzmann method

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