An implicit algorithm of solving Navier–Stokes equations to simulate flows in anisotropic porous media

Козелков, А. С.; Лашкин, С. В.; Efremov, V. R.; Волков, К. Н.; Tsibereva, Yu. A.; Tarasova, N. V.

doi:10.1016/j.compfluid.2017.10.029

Cited by 14 publications

(5 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The non-reflective boundary conditions necessary for the free departure of waves from the computational domain are described in detail in [58]. Discretization of the system of Equations ( 1) and ( 2) is carried out by the finite volume method on an arbitrary unstructured grid, and for its numerical solution, a completely implicit method [59,60] based on the SIMPLE algorithm [40].…”

Section: Governing Equations and The Numerical Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

Shishlenin,

Kozelkov,

Novikov

2024

Mathematics

View full text Add to dashboard Cite

The article aimed to show the fundamental possibility of constructing a computational digital twin of the acoustic tomograph within the framework of a unified physics–mathematical model based on the Navier–Stokes equations. The authors suggested that the size of the modeling area is quite small, sound waves are waves of “small” disturbance, and given that a person consists of more than 60% water, human organs can be modeled using a liquid model, taking into account their density. During numerical experiments, we obtained the pressure registered in the receivers that are located on the side walls of the tomograph. The differences in pressure values are shown depending on the configuration of inclusions in the mannequin imitating internal organs. The results show that the developed technology can be used to probe the human body in medical acoustic tomographs and determine the acoustic parameters of the human body to detect neoplasms.

show abstract

Section: Governing Equations and The Numerical Methodsmentioning

confidence: 99%

“…The modeling of flows with a free surface implies certain modifications of the SIMPLE algorithm. The description of the basic formulas of the modified SIMPLE algorithm, boundary conditions and implementation in the LOGOS software is described in detail [59,61].…”

Section: Governing Equations and The Numerical Methodsmentioning

confidence: 99%

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

Shishlenin,

Kozelkov,

Novikov

2024

Mathematics

View full text Add to dashboard Cite

show abstract

“…They are based on Reynolds-averaged Navier-Stokes (RANS) equations and Shear Stress Transport (SST) turbulence model [16]. Details of the numerical methods and finite-difference schemes are provided in [17,18].…”

Section: Configurations Of Wind Turbinesmentioning

confidence: 99%

CFD Prediction of Performance of Wind Turbines Integrated in the Existing Civil Infrastructure

2021

View full text Add to dashboard Cite

Power generation from wind energy is almost entirely performed in rural locations or at sea, and very little attention has been given to the use of wind turbines in urban locations. Since the re-emergence of wind turbines, the majority of their applications are in large commercial wind farms in rural areas or out at sea, and there is an increasing focus on the use of wind turbines within an urban environment possibly using existing structures, such as bridges and viaducts. There are very few existing buildings which have been designed from the ground-up to include wind turbines in the structure. In order to estimate the wind resources and the performance of a turbine at a particular site, a CFD model is designed and CFD calculations are performed. In order to simplify the modelling of a wind turbine actuator, disc theory is applied. Actuator disc theory is used, as it allows the aerodynamic behaviour of a wind turbine to be analyzed by just considering the energy extraction process without a specific wind turbine design. The power output of wind turbines installed beneath an already existing civil infrastructure is determined and analyzed.

show abstract

“…Discretization of the governing equations is carried out for unstructured meshes with arbitrary cell topology using a cell-centred finite-volume method [18]. The difference from the classic SIMPLE algorithm is in the completely implicit relationship between velocity and pressure owing to the implicit terms of the pressure and mass flow gradients in the continuity equation and momentum equation.…”

Section: Numerical Proceduresmentioning

confidence: 99%

“…The SIMPLE algorithm of the predictor-corrector type has been adapted to solve Brinkman-Forchheimer equations [3]. A coupled computational algorithm for modified Navier-Stokes equations to simulate flows in anisotropic porous media [18]. The results of numerical simulation of a wide number of injection-driven flows in plane and cylindrical channels are presented in [19,20].…”

Section: Introductionmentioning

confidence: 99%

Simulation of incompressible flows in channels containing fluid and porous regions

Булат

Волков

2020

IJISE

View full text Add to dashboard Cite

Flows in channels with fluid and porous regions important to various engineering applications. A better understanding of fundamental mechanisms in the fluid flows in porous regions are needed to optimize gas bearings, air filters, thermal insulation in the specific applications. Darcy-Brinkman-Forchheimer model is used to describe the flow inside the porous domain. The finite volume method is applied to solve these equations in a porous and open domains. The capabilities of the mathematical model and computational algorithm are demonstrated using test cases from various areas of practical applications. The results of the numerical simulation of flows in porous domains are presented.

show abstract

An implicit algorithm of solving Navier–Stokes equations to simulate flows in anisotropic porous media

Cited by 14 publications

References 48 publications

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

CFD Prediction of Performance of Wind Turbines Integrated in the Existing Civil Infrastructure

Simulation of incompressible flows in channels containing fluid and porous regions

Contact Info

Product

Resources

About