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S K Zaripov - One of the best experts on this subject based on the ideXlab platform.

  • modeling of Fluid Flow in periodic cell with porous cylinder using a boundary element method
    Engineering Analysis With Boundary Elements, 2016
    Co-Authors: R F Mardanov, Sarah J Dunnett, S K Zaripov
    Abstract:

    Abstract The Problem of viscous incompressible Flow past a periodic array of porous cylinders (a model of Flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the Fluid Flow Problem. The Stokes Flow model is then adopted to model the Flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value Problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that the use of analytical integration gives considerable advantage in computing time.

R F Mardanov - One of the best experts on this subject based on the ideXlab platform.

  • modeling of Fluid Flow in periodic cell with porous cylinder using a boundary element method
    Engineering Analysis With Boundary Elements, 2016
    Co-Authors: R F Mardanov, Sarah J Dunnett, S K Zaripov
    Abstract:

    Abstract The Problem of viscous incompressible Flow past a periodic array of porous cylinders (a model of Flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the Fluid Flow Problem. The Stokes Flow model is then adopted to model the Flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value Problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that the use of analytical integration gives considerable advantage in computing time.

Ernesto Castillo - One of the best experts on this subject based on the ideXlab platform.

  • numerical analysis of a stabilized finite element approximation for the three field linearized viscoelastic Fluid Problem using arbitrary interpolations
    Mathematical Modelling and Numerical Analysis, 2016
    Co-Authors: Ernesto Castillo, Ramon Codina
    Abstract:

    In this paper we present the numerical analysis of a three-field stabilized finite element formulation recently proposed to approximate viscoelastic Flows. The three-field viscoelastic Fluid Flow Problem may suffer from two types of numerical instabilities: on the one hand we have the two inf-sup conditions related to the mixed nature Problem and, on the other, the convective nature of the momentum and constitutive equations may produce global and local oscillations in the numerical approximation. Both can be overcome by resorting from the standard Galerkin method to a stabilized formulation. The one presented here is based on the subgrid scale concept, in which unresolvable scales of the continuous solution are approximately accounted for. In particular, the approach developed herein is based on the decomposition into their finite element component and a subscale, which is approximated properly to yield a stable formulation. The analyzed Problem corresponds to a linearized version of the Navier–Stokes/Oldroyd-B case where the advection velocity of the momentum equation and the non-linear terms in the constitutive equation are treated using a fixed point strategy for the velocity and the velocity gradient. The proposed method permits the resolution of the Problem using arbitrary interpolations for all the unknowns. We describe some important ingredients related to the design of the formulation and present the results of its numerical analysis. It is shown that the formulation is stable and optimally convergent for small Weissenberg numbers, independently of the interpolation used.

Sarah J Dunnett - One of the best experts on this subject based on the ideXlab platform.

  • modeling of Fluid Flow in periodic cell with porous cylinder using a boundary element method
    Engineering Analysis With Boundary Elements, 2016
    Co-Authors: R F Mardanov, Sarah J Dunnett, S K Zaripov
    Abstract:

    Abstract The Problem of viscous incompressible Flow past a periodic array of porous cylinders (a model of Flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the Fluid Flow Problem. The Stokes Flow model is then adopted to model the Flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value Problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that the use of analytical integration gives considerable advantage in computing time.

C Nor S Azwadi - One of the best experts on this subject based on the ideXlab platform.

  • a three dimension double population thermal lattice bgk model for simulation of natural convection heat transfer in a cube
    Mathematika, 2010
    Co-Authors: C Nor S Azwadi, T Tanahashi
    Abstract:

    In this paper, a double-population thermal lattice Boltzmann was applied to solve three dimensional, incompressible thermal Fluid Flow Problem. The simplest lattice BGK D3Q6 model was proposed to determine the temperature field while D3Q15 or D3Q19 for the density and velocity Felds. The simulation of natural convection in a cubic cavity with Prandtl number 0.71 and Rayleigh number ranging from $10^3$ to $10^5$ were carried out and compared with the published results in literature. It was observed that the combination of D3Q6 and D3Q19 gave better numerical stability and accuracy compared to D3Q6 with D3Q15 for the simulation at high Rayliegh number. Keywords: Double population; lattice Boltzmann; distribution function; natural convection.

  • a three dimension double population thermal lattice bgk model for simulation of natural convection heat transfer in a cubic cavity
    WSEAS Transactions on Mathematics archive, 2009
    Co-Authors: C Nor S Azwadi, S Syahrullail
    Abstract:

    In this paper, a double-population thermal lattice Boltzmann was applied to solve three dimensional, incompressible, thermal Fluid Flow Problem. The simplest lattice BGK D3Q6 model was proposed to determine the temperature field while D3Q15 or D3Q19 for the density and velocity fields. The simulation of natural convection in a cubic cavity with Prandtl number 0.71 and Rayleigh number ranging from 103 to 105 were carried out and compared with the published results in literature. It was observed that the combination of D3Q6 and D3Q19 produces better numerical stability and accuracy compared to D3Q6 with D3Q15 for the simulation at high Rayleigh numbers.