Influence of momentum interpolation methods on the accuracy and convergence of pressure–velocity coupling algorithms in OpenFOAM®

Martínez, Javier; Piscaglia, F.; Montorfano, A.; Onorati, Angelo; Aithal, S. M.

doi:10.1016/j.cam.2016.03.037

Cited by 19 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…ANSYS-CFX R20.1 was used to solve the mathematical model. The pressure-velocity coupling method is a fourth-order Rhie-Chow (Martínez et al 2017). A high-resolution differentiation scheme was applied (de Almeida et al 2020), and the time derivative has a second backward Euler formulation.…”

Section: Methodsmentioning

confidence: 99%

Evaluation of hydrodynamic behavior of biosand filters using computational fluid dynamics combined with the design of experiments

Sala

Rezende

Lautenschlager

2021

Journal of Hydroinformatics

View full text Add to dashboard Cite

Biosand filters (BSFs) are widely used in rural and urban areas where access to drinking water is limited or non-existent. This study applies computational fluid dynamics in the assessment of hydrodynamic characteristics considering changes in the design of two BSF models to make construction options available to communities, without losing hydrodynamic efficiency. The commercial code ANSYS-CFX 20.1 together with a central composite design of experiments methodology to simulate the flow was used under different combinations of porosities, permeabilities, pipe diameters, and filter diameters and heights. These parameters were combined statistically from Statistica 13.3. Our results have shown that combining greater filter depths with smaller pipe diameters has played a key role in the BSF best performance, and the CAWST V10 model has performed better than HydrAid, with lower velocities and longer hydraulic retention times.

show abstract

Section: Methodsmentioning

confidence: 99%

Evaluation of hydrodynamic behavior of biosand filters using computational fluid dynamics combined with the design of experiments

Sala

Rezende

Lautenschlager

2021

Journal of Hydroinformatics

View full text Add to dashboard Cite

show abstract

“…The index n in Equation (20) denotes that the values are taken from the result of the old time-step. A technique for momentum-based interpolation of mass fluxes on cell faces 48,49 is used to mimic the staggered-grid discretization to prevent checkerboard effects. By using the divergence theorem, the convective terms are rewritten as:…”

Section: Variables Positioning and Discretization Of The Operatorsmentioning

confidence: 99%

“…$$ Gradient terms : the Green–Gauss theorem yields:

\nabla {\Psi}_P=\frac{1}{V_P}\sum \limits_f{\Psi}_f{\boldsymbol{S}}_f,

being

{V}_P

the volume of the polyhedral cell P , and

{\boldsymbol{S}}_f

the surface vector of the f th face of the cell. Nonlinear terms (convective terms) : the convective term in the momentum balance equation is linearized using the Picard approach: the mass flux is treated explicitly and the nonlinear term is approximated by:

\left(\rho \boldsymbol{U}\right)\kern0.3em \Psi \simeq {\left(\rho \boldsymbol{U}\right)}^n\kern0.3em {\Psi}^{n+1}

The index

n

in Equation (20) denotes that the values are taken from the result of the old time‐step. A technique for momentum‐based interpolation of mass fluxes on cell faces 48,49 is used to mimic the staggered‐grid discretization to prevent checkerboard effects. By using the divergence theorem, the convective terms are rewritten as:

$$ {\int}_V\nabla \cdotp \left(\rho \boldsymbol{U}\Psi \right)\simeq \sum \limits_f\left({\rho}_...

…”

Section: Variables Positioning and Discretization Of The Operatorsmentioning

confidence: 99%

A hybrid CPU‐GPU paradigm to accelerate reactive CFD simulations

Ghioldi,

Piscaglia

2024

Numerical Methods in Fluids

View full text Add to dashboard Cite

The solution of reactive computational fluid dynamics (CFD) simulations is accelerated by the implementation of a hybrid central processing unit/graphics processing units (CPU/GPU) Finite Volume solver based on the operator‐splitting strategy, where the chemistry integration is treated independently of the flow solution. The integration of ordinary differential equations (ODEs) describing the finite‐rate chemical kinetics is solved by an adaptive multi‐block explicit solver on GPUs, while the load of the fluid solution is distributed on a multicore CPU algorithm. The resulting speed‐up for reactive CFD simulations is up to 10; the performance gain increases with the size of the mechanism. The proposed implementation is general and can be applied to any CFD problem where the governing equations for the fluid transport are coupled with an ODE system. Code validation is performed against reference solutions on a selection of test cases involving reacting flows.

show abstract

“…Demirdzic [11] discussed the discretization of diffusion term in finite volume continuum mechanics. Martınez et al [12] proposed a possible correction for under-relaxation factor dependency in the Original Momentum Interpolation Method (OMIM).…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Turbulent Flow Around Two-Dimensional Bodies Using Non-Orthogonal Body-Fitted Mesh

Tarafder

Mursaline

2019

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

This paper deals with the numerical simulation of a turbulent flow around two-dimensional bodies by the finite volume method with non-orthogonal body-fitted grid. The governing equations are expressed in Cartesian velocity components and solution is carried out using the SIMPLE algorithm for collocated arrangement of scalar and vector variables. Turbulence is modeled by the k- ε turbulence model and wall functions are used to bridge the solution variables at the near wall cells and the corresponding quantities on the wall. A simplified pressure correction equation is derived and proper under-relaxation factors are used so that computational cost is reduced without adversely affecting the convergence rate. The numerical procedure is validated by comparing the computed pressure distribution on the surface of NACA 0012 and NACA 4412 hydrofoils for different angles of attack with experimental data. The grid dependency of the solution is studied by varying the number of cells of the C-type structured mesh. The computed lift coefficients of NACA 4412 hydrofoil at different angles of attack are also compared with experimental results to further substantiate the validity of the proposed methodology.

show abstract

Influence of momentum interpolation methods on the accuracy and convergence of pressure–velocity coupling algorithms in OpenFOAM®

Cited by 19 publications

References 20 publications

Evaluation of hydrodynamic behavior of biosand filters using computational fluid dynamics combined with the design of experiments

Evaluation of hydrodynamic behavior of biosand filters using computational fluid dynamics combined with the design of experiments

A hybrid CPU‐GPU paradigm to accelerate reactive CFD simulations

Numerical Analysis of Turbulent Flow Around Two-Dimensional Bodies Using Non-Orthogonal Body-Fitted Mesh

Contact Info

Product

Resources

About